PIRSA:22030031

Harnessing S-duality in N=4 SYM and supergravity as SL(2,Z)-averaged strings

Collier, S. (2022). Harnessing S-duality in N=4 SYM and supergravity as SL(2,Z)-averaged strings. Perimeter Institute. https://pirsa.org/22030031

Collier, Scott. Harnessing S-duality in N=4 SYM and supergravity as SL(2,Z)-averaged strings. Perimeter Institute, Mar. 15, 2022, https://pirsa.org/22030031 

          @misc{ pirsa_PIRSA:22030031,
            doi = {10.48660/22030031},
            url = {https://pirsa.org/22030031},
            author = {Collier, Scott},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Harnessing S-duality in N=4 SYM and supergravity as SL(2,Z)-averaged strings},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {mar},
            note = {PIRSA:22030031 see, \url{https://pirsa.org}}
          }

Scott Collier

Harvard University

Talk number
PIRSA:22030031
Collection
Talk Type
Subject
Abstract

I will describe an approach to extracting the physical consequences of S-duality of four-dimensional N = 4 super Yang-Mills (SYM) and its string theory dual based on SL(2,Z) spectral theory. I will show that processing S-duality in this way leads to strong consequences for the CFT data, both perturbatively and non-perturbatively in all parameters. In large-N limits, I will argue for the existence and scaling of non-perturbative effects, both at large N and at strong 't Hooft coupling. An elegant benchmark for these techniques is a certain integrated stress-tensor multiplet four-point function, whose form I will elucidate. I will explain how the ensemble average of CFT observables over the N = 4 supersymmetric conformal manifold with respect to the Zamolodchikov measure is cleanly isolated by the spectral decomposition, and will show that the large-N limit of the ensemble average is equal to the strong-coupling limit of the observable in the planar theory, which is its value in type IIB supergravity on AdS_5 x S^5. This embeds an emergent averaged holographic duality within the conventional holographic paradigm.

Zoom link:  https://pitp.zoom.us/j/95197874062?pwd=QU4vbXNNeFVmS0hNbTVLL24wdDBndz09