Abstract
We analyze the 2+1 dimensional gauge theory with two fermions in the real ad-joint 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, 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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Choi, C. Phases of two adjoints QCD3 and a duality chain. J. High Energ. Phys. 2020, 6 (2020). https://doi.org/10.1007/JHEP04(2020)006
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DOI: https://doi.org/10.1007/JHEP04(2020)006