Little Strings, Quasi-topological Sigma Model on Loop Group, and Toroidal Lie Algebras
High Energy Physics - Theory
2018-03-06 v4 Algebraic Geometry
Quantum Algebra
Representation Theory
Abstract
We study the ground states and left-excited states of the A_{k-1} N=(2,0) little string theory. Via a theorem by Atiyah [1], these sectors can be captured by a supersymmetric nonlinear sigma model on CP^1 with target space the based loop group of SU(k). The ground states, described by L^2-cohomology classes, form modules over an affine Lie algebra, while the left-excited states, described by chiral differential operators, form modules over a toroidal Lie algebra. We also apply our results to analyze the 1/2 and 1/4 BPS sectors of the M5-brane worldvolume theory.
Keywords
Cite
@article{arxiv.1512.07629,
title = {Little Strings, Quasi-topological Sigma Model on Loop Group, and Toroidal Lie Algebras},
author = {Meer Ashwinkumar and Jingnan Cao and Yuan Luo and Meng-Chwan Tan and Qin Zhao},
journal= {arXiv preprint arXiv:1512.07629},
year = {2018}
}
Comments
32 pages. Minor imprecisions and typos corrected. To appear in Nuclear Physics B