Researches on N = 4 SYM Theory

Dear Colleagues,

Following the discovery of AdS-CFT correspondence, there was a lot of progress in understanding the structure of gauge theories with extended supersymmetry, in particular that of N=4 SYM.  The study of the S-matrix of N=4 SYM has led to several different representations of scattering amplitudes in this theory, both at tree and loop levels. Here, we want to mention BCFW recursion, scattering equation representations, Grassmannian integral representation, Amplituhedron construction, Pentagon Operator Product Expansion, and the description in terms of eigenstates of auxiliary gl(4|4) spin chain, to name a few. The study of the integrable structure of N=4 SYM, on the other hand, has led to the successful application of many techniques from the world of two-dimensional integrable systems, such as sigma-model and spin-chain S-matrices; different versions of the Bethe Ansatz; as well as Y and T-systems to the computation of conformal spectrum of N=4 SYM with the most advanced technique known under the name of Quantum Spectral Curve, which is an alternative reformulation of Thermodynamic Bethe Asantz equations in terms of nonlinear Riemann-Hilbert problem. Additionally, the integrability-based method was successfully applied to the study of quark-antiquark potential, polygonal Wilson lines (both and weak and strong coupling), structure constructs, correlation functions, and eigenvalues of BFKL kernel and thermal observables such as Hagedorn temperature of N=4 SYM.  This Special Issue is intended to gather together contributions analyzing these and similar exciting questions on N=4 SYM.

Dr. Andrei Onishchenko
Dr. Leonid Bork
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Universe is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

• N=4 SYM
• Integrability
• Scattering amplitudes
• Correlation functions
• AdS-CFT correspondence