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

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abstract

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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hep-th 1

years

2019 1

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CONDITIONAL 1

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A toolkit for twisted chiral superfields

hep-th · 2019-08-16 · conditional · novelty 4.0

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 is omitted.

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  • A toolkit for twisted chiral superfields hep-th · 2019-08-16 · conditional · none · ref 16 · internal anchor

    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 is omitted.