Inspired by 5d supersymmetric Yang–Mills theories placed on the compact space S 5 , we propose an intriguing algebraic construction for the q-Virasoro algebra. We show that, when multiple q-Virasoro “chiral” sectors have to be fused together, a natural SL (3 , Z) structure arises. This construction, which we call the modular triple, is consistent with the observed triple factorization properties of supersymmetric partition functions derived from localization arguments. We also give a 2d CFT-like construction of the modular triple, and conjecture for the first time a (non-local) Lagrangian formulation for a q-Virasoro model, resembling ordinary Liouville theory.

q-Virasoro Modular Triple

Nieri F.;
2019-01-01

Abstract

Inspired by 5d supersymmetric Yang–Mills theories placed on the compact space S 5 , we propose an intriguing algebraic construction for the q-Virasoro algebra. We show that, when multiple q-Virasoro “chiral” sectors have to be fused together, a natural SL (3 , Z) structure arises. This construction, which we call the modular triple, is consistent with the observed triple factorization properties of supersymmetric partition functions derived from localization arguments. We also give a 2d CFT-like construction of the modular triple, and conjecture for the first time a (non-local) Lagrangian formulation for a q-Virasoro model, resembling ordinary Liouville theory.
2019
366
1
397
422
Nieri F.; Pan Y.; Zabzine M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1933820
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