Dualities of Adjoint QCD$_3$ from Branes

Adi Armoni

doi:10.1007/JHEP09(2022)073

paper

Dualities of Adjoint QCD $_{3}$ from Branes

arXiv:2205.15706 · doi:10.1007/JHEP09(2022)073

Abstract

We consider an 'electric' $U (N)$ level $k$ QCD $_{3}$ theory with one adjoint Majorana fermion. Inspired by brane dynamics, we suggest that for $k \geq N /2$ the massive $m < 0$ theory, in the vicinity of the supersymmetric point, admits a $U (k - \frac{N}{2})_{- (\frac{1}{2} k + \frac{3}{4} N), - (k + \frac{N}{2})}$ 'magnetic' dual with one adjoint Majorana fermion. The magnetic theory flows in the IR to a topological $U (k - \frac{N}{2})_{- N, - (k + \frac{N}{2})}$ pure Chern-Simons theory in agreement with the dynamics of the electric theory. When $k < N /2$ the magnetic dual is $U (\frac{N}{2} - k)_{\frac{1}{2} k + \frac{3}{4} N, N}$ with one adjoint Majorana fermion. Depending on the sign of the fermion mass, the magnetic theory flows to either $U (\frac{N}{2} - k)_{N, N}$ or $U (\frac{N}{2} - k)_{\frac{1}{2} N + k, N}$ TQFT. A second magnetic theory, $U (N /2 + k)_{\frac{1}{2} k - \frac{3}{4} N, - N}$ , flows to either $U (\frac{N}{2} + k)_{- N, - N}$ or $U (\frac{N}{2} + k)_{- (\frac{1}{2} N - k), - N}$ TQFT. Dualities for $S O$ and $U S p$ theories with one adjoint fermion are also discussed.

arXiv comment12 pages, 3 figures. v2: figure 2 corrected. v3: fixed the U(1) level throughout the paper. Accepted to JHEP. v4: a typo in the title(!) fixed. Thanks, Prem, for spotting it

Dualities of Adjoint QCD $_{3}$ from Branes

Abstract

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Dualities of Adjoint QCD3​ from Branes

Abstract

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Cited by in corpus (3)

Dualities of Adjoint QCD $_{3}$ from Branes