S-duality in lattice super Yang-Mills
Joel Giedt, Simon Catterall, Poul Damgaard, David Schaich

TL;DR
This paper reports progress on studying S-duality in lattice N=4 super Yang-Mills by computing BPS states and employing twisted boundary conditions, introducing a variational method for operator analysis.
Contribution
It introduces a lattice approach to S-duality in N=4 super Yang-Mills, focusing on BPS state computations and operator disentanglement techniques.
Findings
Progress in computing 't Hooft--Polyakov monopole and W boson states.
Development of a variational method for operator analysis.
Use of twisted and C-periodic boundary conditions in lattice simulations.
Abstract
We present a progress report on studying S-duality in lattice N=4 super Yang-Mills. This is being done through a computation of 1/2-BPS states on the Coulomb branch, especially the 't Hooft--Polyakov monopole and the W boson. Key to these calculations is the use of twisted and C-periodic boundary conditions. In addition we describe a variational method to disentangle operators with definite scaling dimension, particularly the Konishi and supergravity operators.
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