New Advancements in AdS/CFT in Lower Dimensions
Abstract
:1. Introduction
2. AdS/CFT in Massive IIA
2.1. Two-Dimensional Dual CFTs
- To each gauge node corresponds to a (0, 4) vector multiplet, represented by a circle, plus a (0, 4) hypermultiplet in the adjoint representation of the gauge group, represented by a grey line starting and ending on the same gauge group. In terms of (0, 2) multiplets, the first consists of a vector multiplet and a Fermi multiplet in the adjoint, and the second consists of two chiral multiplets forming a (0, 4) hypermultiplet.
- Between each pair of horizontal nodes there are two (0, 2) Fermi multiplets, forming a (0, 4) Fermi multiplet, and two (0, 2) chiral multiplets, forming a (0, 4) twisted hypermultiplet, each in the bifundamental representation of the gauge groups. The (0, 4) Fermi multiplet and the (0, 4) twisted hypermultiplet combine into a (4, 4) twisted hypermultiplet. They are represented by horizontal black solid lines.
- Between each pair of vertical nodes, there are two (0, 2) chiral multiplets forming a (0, 4) hypermultiplet in the bifundamental representation of the gauge groups. They are represented by grey lines.
- Between each gauge node and any successive or preceding node, there is one (0, 2) Fermi multiplet in the bifundamental representation. It is represented by dashed lines.
- Between each gauge node and its adjacent global symmetry node, there is one (0, 2) Fermi multiplet in the fundamental representation of the gauge group. It is again represented by dashed lines.
- Between each gauge node and its opposing global symmetry node, there are two (0, 2) Fermi multiplets, forming a (0, 4) Fermi multiplet, and two (0, 2) chiral multiplets, forming a (0, 4) twisted hypermultiplet, each in the fundamental representation of the gauge groups. The (0, 4) Fermi multiplet and the (0, 4) twisted hypermultiplet combine into a (4, 4) twisted hypermultiplet. They are represented by curvy black solid lines.
- A (0, 2) vector multiplet contributes a factor of .
- A (0, 2) chiral multiplet in the adjoint representation contributes with a factor of .
- A (0, 2) chiral multiplet in the bifundamental representation contributes with a factor of .
- A (0, 2) Fermi multiplet in the adjoint representation contributes with a factor of .
- A (0, 2) Fermi multiplet in the fundamental of bifundamental representation contributes with a factor of .
3. AdS Solutions in M-Theory
4. AdS/CFT in Massive IIA
4.1. Dual Superconformal Quantum Mechanics
5. AdS Solutions in Type IIB
5.1. Type A
Dual Superconformal Quantum Mechanics
5.2. Type B
Dual Superconformal Quantum Mechanics
6. Discussion
Funding
Institutional Review Board Statement
Informed Consent Statement
Acknowledgments
Conflicts of Interest
1 | By which we mean one and two dimensional. |
2 | |
3 | This is also compactible with a superposition of O2-O6 planes. The string theory interpretation of smeared orientifold fixed planes is however unclear. |
4 | |
5 | A concrete example with was analysed in [45]. |
References
- Argurio, R.; Giveon, A.; Shomer, A. Superstring theory on AdS3 × G/H and boundary N = 3 superconformal symmetry. J. High Energy Phys. 2000, 2000, 010. [Google Scholar] [CrossRef] [Green Version]
- Cvetic, M.; Lu, H.; Pope, C.; Vazquez-Poritz, J.F. AdS in warped space-times. Phys. Rev. D 2000, 62, 122003. [Google Scholar] [CrossRef] [Green Version]
- Kim, N. AdS3 solutions of IIB supergravity from D3-branes. J. High Energy Phys. 2006, 2006, 094. [Google Scholar] [CrossRef] [Green Version]
- Gauntlett, J.P.; Kim, N.; Waldram, D. Supersymmetric AdS3, AdS2 and Bubble Solutions. J. High Energy Phys. 2007, 2007, 005. [Google Scholar] [CrossRef] [Green Version]
- Gauntlett, J.P.; Mac Conamhna, O.A.P.; Mateos, T.; Waldram, D. Supersymmetric AdS3 solutions of type IIB supergravity. Phys. Rev. Lett. 2006, 97, 171601. [Google Scholar] [CrossRef] [Green Version]
- D’Hoker, E.; Estes, J.; Gutperle, M. Gravity duals of half-BPS Wilson loops. J. High Energy Phys. 2007, 2007, 063. [Google Scholar] [CrossRef] [Green Version]
- Donos, A.; Gauntlett, J.P.; Sparks, J. AdS3 × (S**3 × S**3 × S**1) Solutions of Type IIB String Theory. Class. Quant. Grav. 2009, 26, 065009. [Google Scholar] [CrossRef] [Green Version]
- Chiodaroli, M.; Gutperle, M.; Krym, D. Half-BPS Solutions locally asymptotic to AdS3 × S**3 and interface conformal field theories. J. High Energy Phys. 2010, 2010, 066. [Google Scholar] [CrossRef] [Green Version]
- Chiodaroli, M.; D’Hoker, E.; Gutperle, M. Open Worldsheets for Holographic Interfaces. J. High Energy Phys. 2010, 2010, 060. [Google Scholar] [CrossRef] [Green Version]
- Kim, N. Comments on AdS2 solutions from M2-branes on complex curves and the backreacted Kähler geometry. Eur. Phys. J. C 2014, 74, 2778. [Google Scholar] [CrossRef] [Green Version]
- Lozano, Y.; Macpherson, N.T.; Montero, J.; Colgáin, E.O. New AdS3 × S2 T-duals with = 0,4 supersymmetry. J. High Energy Phys. 2015, 2015, 121. [Google Scholar] [CrossRef] [Green Version]
- Kelekci, O.; Lozano, Y.; Montero, J.; Colgáin, E.; Park, M. Large superconformal near-horizons from M-theory. Phys. Rev. D 2016, 93, 086010. [Google Scholar] [CrossRef] [Green Version]
- Couzens, C.; Lawrie, C.; Martelli, D.; Schafer-Nameki, S.; Wong, J.M. F-theory and AdS3/CFT2. J. High Energy Phys. 2017, 2017, 043. [Google Scholar] [CrossRef] [Green Version]
- Dibitetto, G.; Petri, N. BPS objects in D = 7 supergravity and their M-theory origin. J. High Energy Phys. 2017, 2017, 041. [Google Scholar] [CrossRef] [Green Version]
- Dibitetto, G.; Petri, N. 6d surface defects from massive type IIA. J. High Energy Phys. 2018, 2018, 039. [Google Scholar] [CrossRef] [Green Version]
- Eberhardt, L. Supersymmetric AdS3 supergravity backgrounds and holography. J. High Energy Phys. 2018, 2018, 087. [Google Scholar] [CrossRef] [Green Version]
- Corbino, D.; D’Hoker, E.; Uhlemann, C.F. AdS2 × S6 versus AdS6 × S2 in Type IIB supergravity. J. High Energy Phys. 2018, 2018, 120. [Google Scholar] [CrossRef]
- Couzens, C.; Martelli, D.; Schafer-Nameki, S. F-theory and AdS3/CFT2 (2, 0). J. High Energy Phys. 2018, 2018, 008. [Google Scholar] [CrossRef] [Green Version]
- Dibitetto, G.; Passias, A. AdS2 × S7 solutions from D0-F1-D8 intersections. J. High Energy Phys. 2018, 2018, 190. [Google Scholar] [CrossRef] [Green Version]
- Dibitetto, G.; Lo Monaco, G.; Passias, A.; Petri, N.; Tomasiello, A. AdS3 Solutions with Exceptional Supersymmetry. Fortsch. Phys. 2018, 66, 1800060. [Google Scholar] [CrossRef] [Green Version]
- Dibitetto, G.; Petri, N. Surface defects in the D4-D8 brane system. J. High Energy Phys. 2019, 2019, 193. [Google Scholar] [CrossRef] [Green Version]
- Dibitetto, G.; Petri, N. AdS2 solutions and their massive IIA origin. J. High Energy Phys. 2019, 2019, 107. [Google Scholar] [CrossRef] [Green Version]
- Corbino, D.; D’Hoker, E.; Kaidi, J.; Uhlemann, C.F. Global half-BPS AdS2 × S6 solutions in Type IIB. J. High Energy Phys. 2019, 2019, 039. [Google Scholar] [CrossRef] [Green Version]
- Macpherson, N.T. Type II solutions on AdS3 × S3 × S3 with large superconformal symmetry. J. High Energy Phys. 2019, 2019, 089. [Google Scholar] [CrossRef] [Green Version]
- Hong, J.; Macpherson, N.T.; Pando Zayas, L.A. Aspects of AdS2 classification in M-theory: Solutions with mesonic and baryonic charges. J. High Energy Phys. 2019, 2019, 127. [Google Scholar] [CrossRef] [Green Version]
- Lozano, Y.; Macpherson, N.T.; Nunez, C.; Ramirez, A. AdS3 solutions in Massive IIA with small = (4,0) supersymmetry. J. High Energy Phys. 2020, 2020, 129. [Google Scholar] [CrossRef] [Green Version]
- Passias, A.; Prins, D. On AdS3 solutions of Type IIB. J. High Energy Phys. 2020, 2020, 048. [Google Scholar] [CrossRef]
- Couzens, C. = (0, 2) AdS3 solutions of type IIB and F-theory with generic fluxes. J. High Energy Phys. 2021, 2021, 038. [Google Scholar] [CrossRef]
- Couzens, C.; het Lam, H.; Mayer, K. Twisted = 1 SCFTs and their AdS3 duals. J. High Energy Phys. 2020, 2020, 032. [Google Scholar] [CrossRef] [Green Version]
- Legramandi, A.; Macpherson, N.T. AdS3 solutions with from = (3,0) from S3 × S3 fibrations. Fortsch. Phys. 2020, 68, 2000014. [Google Scholar] [CrossRef]
- Dibitetto, G.; Lozano, Y.; Petri, N.; Ramirez, A. Holographic description of M-branes via AdS2. J. High Energy Phys. 2020, 2020, 037. [Google Scholar] [CrossRef] [Green Version]
- Lüst, D.; Tsimpis, D. AdS2 type-IIA solutions and scale separation. J. High Energy Phys. 2020, 2020, 060. [Google Scholar] [CrossRef]
- Corbino, D. Warped AdS2 and SU(1,1|4) symmetry in Type IIB. J. High Energy Phys. 2020, 2021, 60. [Google Scholar] [CrossRef]
- Lozano, Y.; Nunez, C.; Ramirez, A.; Speziali, S. M-strings and AdS3 solutions to M-theory with small = (0,4) supersymmetry. J. High Energy Phys. 2020, 2020, 118. [Google Scholar] [CrossRef]
- Chen, K.; Gutperle, M.; Vicino, M. Holographic Line Defects in D = 4, N = 2 Gauged Supergravity. Phys. Rev. D 2020, 102, 026025. [Google Scholar] [CrossRef]
- Faedo, F.; Lozano, Y.; Petri, N. Searching for surface defect CFTs within AdS3. J. High Energy Phys. 2020, 2020, 52. [Google Scholar] [CrossRef]
- Dibitetto, G.; Petri, N. AdS3 from M-branes at conical singularities. J. High Energy Phys. 2020, 2020, 129. [Google Scholar]
- Lozano, Y.; Nunez, C.; Ramirez, A.; Speziali, S. New AdS2 backgrounds and = 4 Conformal Quantum Mechanics. J. High Energy Phys. 2021, 2021, 277. [Google Scholar] [CrossRef]
- Passias, A.; Prins, D. On supersymmetric AdS3 solutions of Type II. arXiv 2020, arXiv:2011.00008. [Google Scholar]
- Lozano, Y.; Nunez, C.; Ramirez, A.; Speziali, S. AdS2 duals to ADHM quivers with Wilson lines. J. High Energy Phys. 2021, 2021, 145. [Google Scholar] [CrossRef]
- Faedo, F.; Lozano, Y.; Petri, N. New = (0,4) AdS3 near-horizons in Type IIB. arXiv 2020, arXiv:2012.07148. [Google Scholar]
- Legramandi, A.; Lo Monaco, G.; Macpherson, N.T. All = (8,0) AdS3 solutions in 10 and 11 dimensions. J. High Energy Phys. 2021, 2021, 263. [Google Scholar] [CrossRef]
- Lozano, Y.; Nunez, C.; Ramirez, A. AdS2 × S2 × CY2 solutions in Type IIB with 8 supersymmetries. J. High Energy Phys. 2021, 2021, 110. [Google Scholar] [CrossRef]
- Balaguer, J.R.; Dibitetto, G.; Fernández-Melgarejo, J.J. New IIB intersecting brane solutions yielding supersymmetric AdS3 vacua. arXiv 2021, arXiv:2104.03970. [Google Scholar]
- Ramirez, A. AdS2 geometries and non-Abelian T-duality in non-compact spaces. arXiv 2021, arXiv:2106.09735. [Google Scholar]
- Eberhardt, L.; Gaberdiel, M.R.; Li, W. A holographic dual for string theory on AdS3 × S3 × S3 × S1. J. High Energy Phys. 2017, 2017, 111. [Google Scholar] [CrossRef]
- Datta, S.; Eberhardt, L.; Gaberdiel, M.R. Stringy = (2,2) holography for AdS3. J. High Energy Phys. 2018, 2018, 146. [Google Scholar] [CrossRef] [Green Version]
- Gaberdiel, M.R.; Gopakumar, R. Tensionless string spectra on AdS3. J. High Energy Phys. 2018, 2018, 085. [Google Scholar] [CrossRef] [Green Version]
- Eberhardt, L.; Zadeh, I.G. = (3,3) holography on AdS3 × (S3 × S3 × S1)/Z2. J. High Energy Phys. 2018, 2018, 143. [Google Scholar] [CrossRef] [Green Version]
- Eberhardt, L.; Gaberdiel, M.R.; Gopakumar, R. The Worldsheet Dual of the Symmetric Product CFT. J. High Energy Phys. 2019, 2019, 103. [Google Scholar] [CrossRef] [Green Version]
- Eberhardt, L.; Gaberdiel, M.R.; Gopakumar, R. Deriving the AdS3/CFT2 correspondence. J. High Energy Phys. 2020, 2020, 136. [Google Scholar] [CrossRef] [Green Version]
- Lozano, Y.; Macpherson, N.T.; Nunez, C.; Ramirez, A. 1/4 BPS solutions and the AdS3/CFT2 correspondence. Phys. Rev. D 2020, 101, 026014. [Google Scholar] [CrossRef] [Green Version]
- Lozano, Y.; Macpherson, N.T.; Nunez, C.; Ramirez, A. Two dimensional = (0,4) quivers dual to AdS3 solutions in massive IIA. J. High Energy Phys. 2020, 2020, 140. [Google Scholar] [CrossRef] [Green Version]
- Lozano, Y.; Macpherson, N.T.; Nunez, C.; Ramirez, A. AdS3 solutions in massive IIA, defect CFTs and T-duality. J. High Energy Phys. 2019, 2019, 013. [Google Scholar] [CrossRef] [Green Version]
- Haghighat, B.; Kozcaz, C.; Lockhart, G.; Vafa, C. Orbifolds of M-strings. Phys. Rev. D 2014, 89, 046003. [Google Scholar] [CrossRef] [Green Version]
- Gadde, A.; Haghighat, B.; Kim, J.; Kim, S.; Lockhart, G.; Vafa, C. 6d String Chains. J. High Energy Phys. 2018, 2018, 143. [Google Scholar] [CrossRef]
- Maldacena, J.M.; Michelson, J.; Strominger, A. Anti-de Sitter fragmentation. J. High Energy Phys. 1999, 1999, 011. [Google Scholar] [CrossRef] [Green Version]
- Denef, F.; Gaiotto, D.; Strominger, A.; Van den Bleeken, D.; Yin, X. Black Hole Deconstruction. J. High Energy Phys. 2012, 2012, 071. [Google Scholar] [CrossRef] [Green Version]
- Maldacena, J.; Stanford, D. Remarks on the Sachdev-Ye-Kitaev model. Phys. Rev. D 2016, 94, 106002. [Google Scholar] [CrossRef] [Green Version]
- Maldacena, J.; Stanford, D.; Yang, Z. Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space. Prog. Theor. Exp. Phys. 2016, 2016, 12C104. [Google Scholar] [CrossRef]
- Harlow, D.; Jafferis, D. The Factorization Problem in Jackiw-Teitelboim Gravity. J. High Energy Phys. 2020, 2020, 177. [Google Scholar] [CrossRef] [Green Version]
- Strominger, A. AdS2 quantum gravity and string theory. J. High Energy Phys. 1999, 1999, 007. [Google Scholar] [CrossRef] [Green Version]
- Balasubramanian, V.; Naqvi, A.; Simon, J. A Multiboundary AdS orbifold and DLCQ holography: A Universal holographic description of extremal black hole horizons. J. High Energy Phys. 2004, 2004, 023. [Google Scholar] [CrossRef] [Green Version]
- Balasubramanian, V.; de Boer, J.; Sheikh-Jabbari, M.; Simon, J. What is a chiral 2d CFT? And what does it have to do with extremal black holes? J. High Energy Phys. 2010, 2010, 017. [Google Scholar] [CrossRef] [Green Version]
- Azeyanagi, T.; Nishioka, T.; Takayanagi, T. Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1. Phys. Rev. D 2008, 77, 064005. [Google Scholar] [CrossRef] [Green Version]
- Filippas, K. Non-integrability on AdS3 supergravity backgrounds. J. High Energy Phys. 2020, 2020, 027. [Google Scholar] [CrossRef] [Green Version]
- Speziali, S. Spin 2 fluctuations in 1/4 BPS AdS3/CFT2. J. High Energy Phys. 2020, 2020, 079. [Google Scholar] [CrossRef] [Green Version]
- Roychowdhury, D. Fragmentation and defragmentation of strings in type IIA and their holographic duals. arXiv 2021, arXiv:2104.11953. [Google Scholar]
- Couzens, C.; Lozano, Y.; Petri, N.; Vandoren, S. N = (0,4) Black String Chains. 2021; In preparation. [Google Scholar]
- Putrov, P.; Song, J.; Yan, W. (0, 4) dualities. J. High Energy Phys. 2016, 2016, 185. [Google Scholar] [CrossRef] [Green Version]
- Kim, H.C. Line defects and 5d instanton partition functions. J. High Energy Phys. 2016, 2016, 199. [Google Scholar] [CrossRef] [Green Version]
- Assel, B.; Sciarappa, A. Wilson loops in 5d = 1 theories and S-duality. J. High Energy Phys. 2018, 2018, 082. [Google Scholar] [CrossRef] [Green Version]
- Assel, B.; Sciarappa, A. On monopole bubbling contributions to ’t Hooft loops. J. High Energy Phys. 2019, 2019, 180. [Google Scholar] [CrossRef] [Green Version]
- Tong, D.; Wong, K. Instantons, Wilson lines, and D-branes. Phys. Rev. D 2015, 91, 026007. [Google Scholar] [CrossRef] [Green Version]
- Chang, C.M.; Ganor, O.; Oh, J. An index for ray operators in 5d En SCFTs. J. High Energy Phys. 2017, 2017, 018. [Google Scholar] [CrossRef]
- Yamaguchi, S. Wilson loops of anti-symmetric representation and D5-branes. J. High Energy Phys. 2006, 2006, 037. [Google Scholar] [CrossRef] [Green Version]
- Gomis, J.; Passerini, F. Wilson Loops as D3-Branes. J. High Energy Phys. 2007, 2007, 097. [Google Scholar] [CrossRef] [Green Version]
- Witten, E. Baryons and branes in anti-de Sitter space. J. High Energy Phys. 1998, 1998, 006. [Google Scholar] [CrossRef] [Green Version]
- Brandhuber, A.; Oz, Y. The D4-D8 brane system and five-dimensional fixed points. Phys. Lett. B 1999, 460, 307–312. [Google Scholar] [CrossRef] [Green Version]
- Denef, F. Quantum quivers and Hall/hole halos. J. High Energy Phys. 2002, 2002, 023. [Google Scholar] [CrossRef] [Green Version]
- Haghighat, B.; Murthy, S.; Vafa, C.; Vandoren, S. F-Theory, Spinning Black Holes and Multi-string Branches. J. High Energy Phys. 2016, 2016, 009. [Google Scholar] [CrossRef] [Green Version]
- Couzens, C.; het Lam, H.; Mayer, K.; Vandoren, S. Black Holes and (0, 4) SCFTs from Type IIB on K3. J. High Energy Phys. 2019, 2019, 043. [Google Scholar] [CrossRef] [Green Version]
- Hull, C.; Marcus, E.; Stemerdink, K.; Vandoren, S. Black holes in string theory with duality twists. J. High Energy Phys. 2020, 2020, 086. [Google Scholar] [CrossRef]
- Benini, F.; Hristov, K.; Zaffaroni, A. Black hole microstates in AdS4 from supersymmetric localization. J. High Energy Phys. 2016, 2016, 054. [Google Scholar] [CrossRef] [Green Version]
- Seiberg, N. Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics. Phys. Lett. B 1996, 388, 753–760. [Google Scholar] [CrossRef] [Green Version]
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
---|---|---|---|---|---|---|---|---|---|---|
D2 | x | x | x | |||||||
D4 | x | x | x | x | x | |||||
D6 | x | x | x | x | x | x | x | |||
D8 | x | x | x | x | x | x | x | x | x | |
NS5 | x | x | x | x | x | x |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
---|---|---|---|---|---|---|---|---|---|---|---|
M2 | x | x | x | ||||||||
M5 | x | x | x | x | x | x | |||||
KK | x | x | x | x | x | x | x | z | |||
M5′ | x | x | x | x | x | x |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
---|---|---|---|---|---|---|---|---|---|---|---|
M0 | x | x | |||||||||
M2 | x | x | x | ||||||||
M5 | x | x | x | x | x | x | |||||
M5′ | x | x | x | x | x | x |
D0 | x | |||||||||
D4 | x | x | x | x | x | |||||
D | x | x | x | x | x | |||||
D8 | x | x | x | x | x | x | x | x | x | |
F1 | x | x |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
---|---|---|---|---|---|---|---|---|---|---|
D1 | x | x | ||||||||
D3 | x | x | x | x | ||||||
D5 | x | x | x | x | x | x | ||||
D7 | x | x | x | x | x | x | x | x | ||
NS5 | x | x | x | x | x | x | ||||
F1 | x | x |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
---|---|---|---|---|---|---|---|---|---|---|
D1 | x | x | ||||||||
D3 | x | x | x | x | ||||||
D5 | x | x | x | x | x | x | ||||
D7 | x | x | x | x | x | x | x | x | ||
NS5 | x | x | x | x | x | x | ||||
F1 | x | x |
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Lozano, Y.; Ramirez, A. New Advancements in AdS/CFT in Lower Dimensions. Universe 2021, 7, 250. https://doi.org/10.3390/universe7070250
Lozano Y, Ramirez A. New Advancements in AdS/CFT in Lower Dimensions. Universe. 2021; 7(7):250. https://doi.org/10.3390/universe7070250
Chicago/Turabian StyleLozano, Yolanda, and Anayeli Ramirez. 2021. "New Advancements in AdS/CFT in Lower Dimensions" Universe 7, no. 7: 250. https://doi.org/10.3390/universe7070250