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arXiv · 2305.09054

RG Flows in 2d Chiral Gauge Theories

Kaan Önder
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Abstract

We study the dynamics of two-dimensional chiral $SU(N)$ gauge theories with fermions in the symmetric, anti-symmetric and fundamental representations. A consistent infra-red limit of these theories consists of certain coset CFTs. There is also a free fermion phase which shares the same central charge and 't Hooft anomalies but does not coincide with the coset models. We show that these two theories sit on a conformal manifold of infra-red theories and are related by a current-current deformation. We further consider extensions of these theories by adding Dirac fermions and comment on possible RG flows.

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Kaan Önder. 2023-05-15. RG Flows in 2d Chiral Gauge Theories. https://doi.org/10.1103/physrevd.108.085009

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