Matrix supergroup Chern-Simons models for vortex-antivortex systems

Okazaki, Tadashi; Smith, Douglas J.

doi:10.1007/jhep02(2018)119

Matrix supergroup Chern-Simons models for vortex-antivortex systems

Okazaki, Tadashi; Smith, Douglas J.

Authors

Tadashi Okazaki

Professor Douglas Smith douglas.smith@durham.ac.uk
Head Of Department

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 suˆ(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.

Citation

Okazaki, T., & Smith, D. J. (2018). Matrix supergroup Chern-Simons models for vortex-antivortex systems. Journal of High Energy Physics, 2018(2), Article 118. https://doi.org/10.1007/jhep02%282018%29119

Journal Article Type	Article
Acceptance Date	Feb 13, 2018
Online Publication Date	Feb 20, 2018
Publication Date	Feb 20, 2018
Deposit Date	Feb 28, 2018
Publicly Available Date	Mar 2, 2018
Journal	Journal of High Energy Physics
Print ISSN	1126-6708
Publisher	Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed	Peer Reviewed
Volume	2018
Issue	2
Article Number	118
DOI	https://doi.org/10.1007/jhep02%282018%29119

Files

Published Journal Article (1.1 Mb)
PDF

Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.