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(2,2) Geometry from Gauge Theory

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arxiv 1810.01388 v2 pith:HGKHEV4X submitted 2018-10-02 hep-th

classification hep-th
keywords gaugekahlercoulombdescriptionsspacestheoryanaloguesappear
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Using gauge theory, we describe how to construct generalized Kahler geometries with (2,2) two-dimensional supersymmetry, which are analogues of familiar examples like projective spaces and Calabi-Yau manifolds. For special cases, T-dual descriptions can be found which are squashed Kahler spaces. We explore the vacuum structure of these gauge theories by studying the Coulomb branch, which usually encodes the quantum cohomology ring. Some models without Kahler dual descriptions possess unusual Coulomb branches. Specifically, there appear to be an infinite number of supersymmetric vacua.

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Cited by 2 Pith papers

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  1. Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries

    hep-th 2025-07 unverdicted novelty 6.0 of 10

    Continuous-universe decomposition plus (-1)-form gauging eliminates every instanton in local QFTs, realized explicitly by switching 2D U(1) gauge theories to noncompact R gauge groups.

  2. A toolkit for twisted chiral superfields

    hep-th 2019-08 conditional novelty 4.0 of 10

    The paper presents an explicit component-form toolkit for Lagrangians of twisted chiral superfields, including mixed chiral/twisted-chiral terms, but the results are mostly known and the derivation of the mixed case i...

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