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Novel results in N=4 Super Yang-Mills with classical gauge groups

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NC2W02 - Crossing the bridge: New connections in number theory and physics

I will introduce exact expressions, manifestly covariant under Goddard-Nuyts-Olive duality, for certain integrated correlators of four superconformal primary operators in the stress tensor multiplet of N=4 SYM with classical gauge group. These correlators are found to satisfy intriguing “Laplace-difference equation” under the action of the hyperbolic Laplace operator with respect to the complex YM coupling. I will show that these correlators can be written as infinite series of non-holomoprhic Eisenstein series of either integer or half-integer index as well as novel non-holomorphic modular functions.

This talk is part of the Isaac Newton Institute Seminar Series series.

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