Phases of Two Adjoints QCD$_{3}$ And a Duality Chain

Changha Choi

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arXiv · 1910.05402

Phases of Two Adjoints QCD$_{3}$ And a Duality Chain

Changha Choi

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Abstract

We analyze the 2+1 dimensional gauge theory with two fermions in the real adjoint representation with non-zero Chern-Simons level. We propose a new fermion-fermion dualities between strongly-coupled theories and determine the quantum phase using the structure of a `Duality Chain'. We argue that when Chern-Simons level is sufficiently small, the theory in general develops a strongly coupled quantum phase described by an emergent topological field theory. For special cases, our proposal predicts an interesting dynamical scenario with spontaneous breaking of partial 1-form or 0-form global symmetry. It turns out that $SL(2,\mathbb Z)$ transformation and the generalized level/rank duality are crucial for the unitary group case. We further unveil the dynamics of the 2+1 dimensional gauge theory with any pair of adjoint/rank-two fermions or two bifundamental fermions using similar `Duality Chain'.

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Changha Choi. 2019-10-11. Phases of Two Adjoints QCD$_{3}$ And a Duality Chain. https://arxiv.org/abs/1910.05402

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