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Title: Little strings, quasi-topological sigma model on loop group, and toroidal Lie algebras
Authors: Ashwinkumar, M. 
Cao, J.
Luo, Y. 
Tan, M.-C. 
Zhao, Q. 
Issue Date: 2018
Publisher: Elsevier B.V.
Citation: Ashwinkumar, M., Cao, J., Luo, Y., Tan, M.-C., Zhao, Q. (2018). Little strings, quasi-topological sigma model on loop group, and toroidal Lie algebras. Nuclear Physics B 928 : 469-498. ScholarBank@NUS Repository.
Rights: Attribution 4.0 International
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 CP1 with target space the based loop group of SU(k). The ground states, described by L2-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. © 2018 The Author(s)
Source Title: Nuclear Physics B
ISSN: 05503213
DOI: 10.1016/j.nuclphysb.2018.01.014
Rights: Attribution 4.0 International
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