Four-dimensional lens space index from two-dimensional chiral algebra
Abstract We study the supersymmetric partition function on S 1 × L(r, 1), or the lens space index of four-dimensional N=2 $$ \mathcal{N}=2 $$ superconformal field theories and their connection to two-dimensional chiral algebras. We primarily focus on free theories as well as ArgyresDouglas theories...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2018)073 |
| _version_ | 1818450532507844608 |
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| author | Martin Fluder Jaewon Song |
| author_facet | Martin Fluder Jaewon Song |
| author_sort | Martin Fluder |
| collection | DOAJ |
| description | Abstract We study the supersymmetric partition function on S 1 × L(r, 1), or the lens space index of four-dimensional N=2 $$ \mathcal{N}=2 $$ superconformal field theories and their connection to two-dimensional chiral algebras. We primarily focus on free theories as well as ArgyresDouglas theories of type (A 1, A k ) and (A 1, D k ). We observe that in specific limits, the lens space index is reproduced in terms of the (refined) character of an appropriately twisted module of the associated two-dimensional chiral algebra or a generalized vertex operator algebra. The particular twisted module is determined by the choice of discrete holonomies for the flavor symmetry in four-dimensions. |
| first_indexed | 2024-12-14T20:52:48Z |
| format | Article |
| id | doaj.art-46b563fadec344d8a5ef256f8ec25ce4 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T20:52:48Z |
| publishDate | 2018-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-46b563fadec344d8a5ef256f8ec25ce42022-12-21T22:47:45ZengSpringerOpenJournal of High Energy Physics1029-84792018-07-012018714610.1007/JHEP07(2018)073Four-dimensional lens space index from two-dimensional chiral algebraMartin Fluder0Jaewon Song1Walter Burke Institute for Theoretical Physics, California Institute of TechnologySchool of Physics, Korea Institute for Advanced StudyAbstract We study the supersymmetric partition function on S 1 × L(r, 1), or the lens space index of four-dimensional N=2 $$ \mathcal{N}=2 $$ superconformal field theories and their connection to two-dimensional chiral algebras. We primarily focus on free theories as well as ArgyresDouglas theories of type (A 1, A k ) and (A 1, D k ). We observe that in specific limits, the lens space index is reproduced in terms of the (refined) character of an appropriately twisted module of the associated two-dimensional chiral algebra or a generalized vertex operator algebra. The particular twisted module is determined by the choice of discrete holonomies for the flavor symmetry in four-dimensions.http://link.springer.com/article/10.1007/JHEP07(2018)073Conformal and W SymmetryConformal Field TheoryExtended SupersymmetrySupersymmetric Gauge Theory |
| spellingShingle | Martin Fluder Jaewon Song Four-dimensional lens space index from two-dimensional chiral algebra Journal of High Energy Physics Conformal and W Symmetry Conformal Field Theory Extended Supersymmetry Supersymmetric Gauge Theory |
| title | Four-dimensional lens space index from two-dimensional chiral algebra |
| title_full | Four-dimensional lens space index from two-dimensional chiral algebra |
| title_fullStr | Four-dimensional lens space index from two-dimensional chiral algebra |
| title_full_unstemmed | Four-dimensional lens space index from two-dimensional chiral algebra |
| title_short | Four-dimensional lens space index from two-dimensional chiral algebra |
| title_sort | four dimensional lens space index from two dimensional chiral algebra |
| topic | Conformal and W Symmetry Conformal Field Theory Extended Supersymmetry Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP07(2018)073 |
| work_keys_str_mv | AT martinfluder fourdimensionallensspaceindexfromtwodimensionalchiralalgebra AT jaewonsong fourdimensionallensspaceindexfromtwodimensionalchiralalgebra |