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Duality In Two-Dimensional (2,2) Supersymmetric Non-Abelian Gauge Theories

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arxiv 1104.2853 v2 pith:URH3M6VC submitted 2011-04-14 hep-th

classification hep-th
keywords theoriesgaugedualityflavorsgroupsnumberssupersymmetricabsence
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We study the low energy behaviour of N=(2,2) supersymmetric gauge theories in 1+1 dimensions, with orthogonal and symplectic gauge groups and matters in the fundamental representation. We observe supersymmetry breaking in super-Yang-Mills theory and in theories with small numbers of flavors. For larger numbers of flavors, we discover duality between regular theories with different gauge groups and matter contents, where regularity refers to absence of quantum Coulomb branch. The result is applied to study families of superconformal field theories that can be used for superstring compactifications, with corners corresponding to three-dimensional Calabi-Yau manifolds. This work is motivated by recent development in mathematics concerning equivalences of derived categories.

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  1. 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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