Level-Rank Duality in Chern-Simons Theory from a Non-Supersymmetric Brane Configuration

Abstract

We derive level-rank duality in pure Chern-Simons gauge theories from a non-supersymmetric Seiberg duality by using a non-supersymmetric brane configuration in type IIB string theory. The brane configuration consists of fivebranes, N D3 antibranes and an O3 plane. By swapping the fivebranes we derive a 3d non-supersymmetric Seiberg duality. After level shifts from loop effects, this identifies the IR of Sp(2N)_{2k-2N+2} and Sp(2k-2N+2)_{-2N} pure Chern-Simons theories, which is a level-rank pair. We also derive level-rank duality in a Chern-Simons theory based on a unitary group.

arXiv comment10 pages, 3 figures

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Cited by in corpus (8)

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• Phases of QCD${}_3$ from Non-SUSY Seiberg Duality and Brane Dynamics
• Phases of $\mathbf{U}({\mathbf{N}}_{\mathbf{c}})$ QCD${}_3$ from Type 0 Strings and Seiberg Duality
• Dualities of Adjoint QCD${}_3$ from Branes
• Topological phase, spin Chern-Simons theory and level rank duality on lens space
• Supersymmetric and non-supersymmetric Seiberg-like dualities for gauged Wess-Zumino-Witten theories, realised on branes
• Defects in Chern-Simons theory, gauged WZW models on the brane, and level-rank duality