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Supersymmetric gauge theories, quantisation of moduli spaces of flat connections, and Liouville theory

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arxiv 1412.7140 v1 pith:CQZVYDQQ submitted 2014-12-22 hep-th

classification hep-th
keywords theoriestheorygaugemoduliobtainedquantisationquantumrelations
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abstract

This is the 11th article in the collection of reviews "Exact results in N=2 supersymmetric gauge theories", ed. J. Teschner. It describes an approach to understanding the 4d/2d relations discovered by Alday, Gaiotto and Tachikawa by establishing a triangle of relations between the zero mode quantum mechanics obtained by localisation of class $\cal S$ theories, the quantum theory obtained by quantisation of Hitchin moduli spaces, and conformal field theory.

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  1. Conformal Turaev-Viro Theory

    hep-th 2025-07 conditional novelty 6.0 of 10

    Conformal Turaev-Viro theory is a triangulation-based dual to Virasoro TQFT whose partition function equals the modular S-transform of |Z_Vir|^2.

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