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      Schur index of the \({\cal N}=4\) \(U(N)\) SYM via the AdS/CFT correspondence

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          Abstract

          We calculate the Schur index of the \({\cal N}=4\) \(U(N)\) SYM with finite \(N\) via the AdS/CFT correspondence as the contribution of D3-branes wrapped on contractible cycles in \(\boldsymbol{S}^5\) on some assumptions motivated by preliminary analyses. As far as we have checked numerically it agrees with the index calculated on the gauge theory side. In a certain limit it reproduces the analytic result given by Bourdier, Drukker, and Felix.

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          Author and article information

          Journal
          31 January 2020
          Article
          2001.11667
          fb765d6d-6f8a-4d3f-b7fb-0973eb694de1

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          TIT/HEP-677
          8 pages
          hep-th

          High energy & Particle physics
          High energy & Particle physics

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