August 20, 2025Open Access

Twisted S-duality

Key Points

This action reveals a form of S-duality that connects twisted string theories, enhancing our understanding of supergravity.
The analysis shows how sl(2,z) symmetry operates on deformations of a holomorphic-topological twist in gauge theory.
Using conjectural descriptions, the study links crucial aspects of topological strings with higher-dimensional theories.
These insights may advance geometric Langlands theory and the construction of Yangians in physics.

Abstract

We study an SL (2, Z) SL (2, ℤ) symmetry of a variant of BCOV theory in three complex dimensions. Using conjectural descriptions of twists of superstrings in terms of topological strings, we argue that this action can be thought of as a version of S-duality that preserves an SU (3) SU (3) -invariant twist of type IIB supergravity. We analyze how SL (2, Z) SL (2, ℤ) acts on various deformations of the holomorphic-topological twist of 4-dimensional N=4 𝒩=4 supersymmetric gauge theory, which come from residual supertranslations and superconformal symmetries, and are of relevance to geometric Langlands theory and gauge-theoretic constructions of the Yangian.

Twisted S-duality

Key Points

Abstract

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