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2016•Unpublished venueRequires access

BETHE/GAUGE CORRESPONDENCE ON CURVED SPACES

Nikita Nekrasov, Samson L. Shatashvili

Open publisher page 74 citations

Abstract

Bethe/gauge correspondence identifies supersymmetric vacua of massive gauge theories invariant under the two dimensional N=2 Poincare supersymmetry with the stationary states of some quantum integrable system. The supersymmetric theory can be twisted in a number of ways, producing a topological field theory. For these theories we compute the handle gluing operator H. We also discuss the Gaudin conjecture on the norm of Bethe states and its connection to H.

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What this paper is about

Bethe/gauge correspondence identifies supersymmetric vacua of massive gauge theories invariant under the two dimensional N=2 Poincare supersymmetry with the stationary states of some quantum integrable system. The supersymmetric theory can be twisted in a number of ways, producing a topological field theory. For these theories we compute the handle gluing operator H. We also discuss the Gaudin conjecture on the norm of Bethe states and its connection to H.

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OpenAlex reports 74 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Bethe/gauge correspondence identifies supersymmetric vacua of massive gauge theories invariant under the two dimensional N=2 Poincare supersymmetry with the stationary states of some quantum integrable system. The supersymmetric theory can be twisted in a number of ways, producing a topological field theory. For these theories we compute the handle gluing operator H. We also discuss the Gaudin conjecture on the norm of Bethe states and its connection to H.

Key concepts: Integrable system, Gauge theory, Conjecture, Supersymmetric gauge theory, Physics, Supersymmetry, Invariant (physics), Mathematical physics

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