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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 \( \mathcal{N}=\left( {2,2} \right) \) 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. Institute for the Physcs and Mathematics of the Universe (IPMU), University of Tokyo, Kashiwa, Japan

    Kentaro Hori

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  1. Kentaro Hori
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Correspondence to Kentaro Hori.

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ArXiv ePrint: 1104.2853

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Hori, K. Duality in two-dimensional (2,2) supersymmetric non-Abelian gauge theories. J. High Energ. Phys. 2013, 121 (2013). https://doi.org/10.1007/JHEP10(2013)121

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