Little strings, quasi-topological sigma model on loop group, and toroidal Lie algebras
We study the ground states and left-excited states of the Ak−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 clas...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2018-03-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321318300142 |
| _version_ | 1830141224735997952 |
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| author | Meer Ashwinkumar Jingnan Cao Yuan Luo Meng-Chwan Tan Qin Zhao |
| author_facet | Meer Ashwinkumar Jingnan Cao Yuan Luo Meng-Chwan Tan Qin Zhao |
| author_sort | Meer Ashwinkumar |
| collection | DOAJ |
| description | We study the ground states and left-excited states of the Ak−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. |
| first_indexed | 2024-12-17T09:16:39Z |
| format | Article |
| id | doaj.art-257eaecc41b344b4b1c16971731cc467 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-12-17T09:16:39Z |
| publishDate | 2018-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-257eaecc41b344b4b1c16971731cc4672022-12-21T21:54:57ZengElsevierNuclear Physics B0550-32131873-15622018-03-01928C46949810.1016/j.nuclphysb.2018.01.014Little strings, quasi-topological sigma model on loop group, and toroidal Lie algebrasMeer AshwinkumarJingnan CaoYuan LuoMeng-Chwan TanQin ZhaoWe study the ground states and left-excited states of the Ak−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.http://www.sciencedirect.com/science/article/pii/S0550321318300142 |
| spellingShingle | Meer Ashwinkumar Jingnan Cao Yuan Luo Meng-Chwan Tan Qin Zhao Little strings, quasi-topological sigma model on loop group, and toroidal Lie algebras Nuclear Physics B |
| title | Little strings, quasi-topological sigma model on loop group, and toroidal Lie algebras |
| title_full | Little strings, quasi-topological sigma model on loop group, and toroidal Lie algebras |
| title_fullStr | Little strings, quasi-topological sigma model on loop group, and toroidal Lie algebras |
| title_full_unstemmed | Little strings, quasi-topological sigma model on loop group, and toroidal Lie algebras |
| title_short | Little strings, quasi-topological sigma model on loop group, and toroidal Lie algebras |
| title_sort | little strings quasi topological sigma model on loop group and toroidal lie algebras |
| url | http://www.sciencedirect.com/science/article/pii/S0550321318300142 |
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