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Matrix supergroup Chern-Simons models for vortex-antivortex systems
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DOI：10.1007/JHEP02(2018)119.png)
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Abstract
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We study a U(N vertical bar M) supermatrix Chern-Simons model with an SU(p q) internal symmetry. We propose that the model describes a system consisting of N vortices and antivortices involving SU(p vertical bar q) internal spin degrees of freedom. We present both classical and quantum ground state solutions, and demonstrate the relation to Calogero models. We present evidence that a large N limit describes SU(p vertical bar q) WZW models. In particular, we derive (su) over cap (p vertical bar q) Kac-Moody algebras. We also present some results on the calculation of the partition function involving a supersymmetric generalization of the Hall-Littlewood polynomials, indicating the mock modular properties.
Keywords:
Chern-Simons Theories
Field Theories in Lower Dimensions
Matrix Models
Solitons Monopoles and Instantons
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