A magnetic quiver framework is introduced to extract maximal branches and global forms of 3d orthosymplectic Chern-Simons matter theories from brane configurations, with global data fixed via indices and Hilbert series.
3d dualities from 4d dualities for orthogonal groups
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abstract
We extend recent work on the relation of 4d and 3d IR dualities of supersymmetric gauge theories with four supercharges to the case of orthogonal gauge groups. The distinction between different SO(N) gauge theories in 4d plays an important role in this relation. We show that the 4d duality leads to a 3d duality between an SO(N_c) gauge theory with N_f flavors and an SO(N_f-N_c+2) theory with N_f flavors and extra singlets, and we derive its generalization in the presence of Chern-Simons terms. There are two different O(N) theories in 3d, which we denote by O(N)_\pm, and we also show that the O(N_c)_- gauge theory is dual to a Spin(N_f-N_c+2) theory, and derive from 4d the known duality between O(N_c)_+ and O(N_f-N_c+2)_+. We verify the consistency of these 3d dualities by various methods, including index computations.
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High-temperature limits on higher sheets of the superconformal index for (A1,A2n) Argyres-Douglas theories yield Gang-Kim-Stubbs 3d N=2 theories whose boundaries support Virasoro minimal model VOAs M(2,2n+3) and associated MTCs.
A global perturbative potential for the Coulomb branch is derived via zeta regularization of D-terms from KK modes in R^3 x S^1 compactifications of 4d N=1 theories.
Wilson line defect half-indices for 3d N=2 theories with confining boundaries are exactly Askey-Wilson type moments, obtained via dual vortex defects and effective spin shifts in the index computation.
citing papers explorer
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Orthosymplectic Chern-Simons Matter Theories: Global Forms, Dualities, and Vacua
A magnetic quiver framework is introduced to extract maximal branches and global forms of 3d orthosymplectic Chern-Simons matter theories from brane configurations, with global data fixed via indices and Hilbert series.
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Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs
High-temperature limits on higher sheets of the superconformal index for (A1,A2n) Argyres-Douglas theories yield Gang-Kim-Stubbs 3d N=2 theories whose boundaries support Virasoro minimal model VOAs M(2,2n+3) and associated MTCs.
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Perturbative Coulomb branches on $\mathbb{R}^3\times S^1$: the global D-term potential
A global perturbative potential for the Coulomb branch is derived via zeta regularization of D-terms from KK modes in R^3 x S^1 compactifications of 4d N=1 theories.
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Boundary lines and Askey-Wilson type moments
Wilson line defect half-indices for 3d N=2 theories with confining boundaries are exactly Askey-Wilson type moments, obtained via dual vortex defects and effective spin shifts in the index computation.