119
true
en
2019-04-11T09:13
research_article
https://link.springer.com/10.1007%2FJHEP02%282018%29119
2018-02
2018-02-01
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.
https://scigraph.springernature.com/explorer/license/
Matrix supergroup Chern-Simons models for vortex-antivortex systems
articles
Tadashi
Okazaki
pub.1101242945
dimensions_id
doi
10.1007/jhep02(2018)119
2018
readcube_id
7c01cc0483fedc923c768490f111e3841600b89512f42856c1176a4d891122a3
Smith
Douglas J.
National Taiwan University
Department of Physics and Center for Theoretical Sciences, National Taiwan University, 10617, Taipei, Taiwan
Mathematical Sciences
Springer Nature - SN SciGraph project
Department of Mathematical Sciences, Durham University, Lower Mountjoy, Stockton Road, DH1 3LE, Durham, U.K.
Durham University
1126-6708
1029-8479
Journal of High Energy Physics
2
Mathematical Physics