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• W2772186474 abstract "We study a $U(N|M)$ supermatrix Chern-Simons model with an $SU(p|q)$ internal symmetry. We propose that the model describes a system consisting of $N$ vortices and $M$ antivortices involving $SU(p|q)$ 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 $SU(p|q)$ WZW models. In particular, we derive $widehat{mathfrak{su}}(p|q)$ 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." @default.
• W2772186474 created "2017-12-22" @default.
• W2772186474 creator A5041591145 @default.
• W2772186474 creator A5052626683 @default.
• W2772186474 date "2018-02-01" @default.
• W2772186474 modified "2023-10-16" @default.
• W2772186474 title "Matrix supergroup Chern-Simons models for vortex-antivortex systems" @default.
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• W2772186474 doi "https://doi.org/10.1007/jhep02(2018)119" @default.
• W2772186474 hasPublicationYear "2018" @default.
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