Duality in two-dimensional (2,2) supersymmetric non-Abelian gauge theories

By K. Hori. 2011

152 citations recorded by the source corpus.

A bstractWe 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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e5ee4b987ba330633617e6db70cc83a0fb972b18

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In Nuclear and High Energy Physics

Citations in the corpus

Exact results in D = 2 supersymmetric gauge theories (2012, unknown): “1, the two theories in this duality pair carry the same central charge. Recently, the above duality, known as the Seiberg-like duality in 38 two dimensions, has been generalized to other gauge groups [39] O+(N) !SO(NF N+ 1); NF N SO(N) !O+(NF N+ 1); NF N O (N) !O (NF N+ 1); NF N Sp(N) !Sp(NF N 1); N”
Exact Kähler potential from gauge theory and mirror symmetry (2012, methodology): “Certain non-abelian GLSM’s for non-complete intersections have been constructed recently [20, 21, 22, 23], and the two-sphere partition function is a new exact method to study them.”
Partition Functions of $${\mathcal{N}=(2,2)}$$N=(2,2) Gauge Theories on S2 and Vortices (2012, background): “Dualities In [23,24] a duality—reminiscent of Seiberg duality [41] in four dimensions—was proposed between the SU (N ) gauge theory with N f > N fundamental flavors and SU (N f − N ) with the same number N f of fundamentals.”
Exact Results In Two-Dimensional (2,2) Supersymmetric Gauge Theories With Boundary (2013, methodology): “See [36] for the explanation based on [37].”
Witten index and wall crossing (2014, background): “In one dimension, the classical Coulomb branch cannot be lifted by quantum correction, unlike in two dimensions where it can [41, 42].”