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Higher Spin Matrix Models

Exploring Free Matrix CFT Holographies at One-Loop

Korea Institute for Advanced Study, 85 Hoegiro, Dongdaemun-Gu, Seoul 02455, Korea
Department of Physics and Research Institute of Basic Science, Kyung Hee University, Seoul 02447, Korea
LPTHE-UMR 7589, UPMC Paris 06, Sorbonne Universites, 75005 Paris, France
Authors to whom correspondence should be addressed.
Universe 2017, 3(4), 77;
Received: 18 August 2017 / Revised: 2 October 2017 / Accepted: 11 October 2017 / Published: 9 November 2017
(This article belongs to the Special Issue Higher Spin Gauge Theories)
We extend our recent study on the duality between stringy higher spin theories and free conformal field theories (CFTs) in the S U ( N ) adjoint representation to other matrix models, namely the free S O ( N ) and S p ( N ) adjoint models as well as the free U ( N ) × U ( M ) bi-fundamental and O ( N ) × O ( M ) bi-vector models. After determining the spectrum of the theories in the planar limit by Polya counting, we compute the one loop vacuum energy and Casimir energy for their respective bulk duals by means of the Character Integral Representation of the Zeta Function (CIRZ) method, which we recently introduced. We also elaborate on possible ambiguities in the application of this method. View Full-Text
Keywords: string theory; higher-spin gauge theory; partition functions string theory; higher-spin gauge theory; partition functions
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MDPI and ACS Style

Bae, J.-B.; Joung, E.; Lal, S. Exploring Free Matrix CFT Holographies at One-Loop. Universe 2017, 3, 77.

AMA Style

Bae J-B, Joung E, Lal S. Exploring Free Matrix CFT Holographies at One-Loop. Universe. 2017; 3(4):77.

Chicago/Turabian Style

Bae, Jin-Beom, Euihun Joung, and Shailesh Lal. 2017. "Exploring Free Matrix CFT Holographies at One-Loop" Universe 3, no. 4: 77.

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