Matrix supergroup Chern-Simons models for vortex-antivortex systems View Full Text


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Article Info

DATE

2018-02

AUTHORS

Tadashi Okazaki, Douglas J. Smith

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 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. More... »

PAGES

119

References to SciGraph publications

  • 2001-01. Integrable Highest Weight Modules over Affine Superalgebras and Appell's Function in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2001-10-30. Quantum Hall physics = noncommutative field theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-08. A matrix model for WZW in JOURNAL OF HIGH ENERGY PHYSICS
  • 2004-02-25. A quantum Hall fluid of vortices in JOURNAL OF HIGH ENERGY PHYSICS
  • 2003-07-16. Vortices, instantons and branes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2006-11. Magnetic vortex core reversal by excitation with short bursts of an alternating field in NATURE
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  • 2015-12. Branes and Supergroups in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2001-04-07. Quantum Hall states as matrix Chern-Simons theory in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/jhep02(2018)119

    DOI

    http://dx.doi.org/10.1007/jhep02(2018)119

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1101242945


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