Strange duality revisited
We give a proof of the strange duality or rank-level duality of the WZW models of conformal blocks by extending the genus-0 result, obtained by Nakanishi-Tsuchiya in 1992, to higher genus curves via the sewing procedure. The new ingredient of the proof is an explicit use of the branching rules of th...
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| Veröffentlicht in: | Mathematical research letters 2014, Vol.21 (6), p.1353-1366 |
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| container_title | Mathematical research letters |
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| creator | Pauly, Christian |
| description | We give a proof of the strange duality or rank-level duality of the WZW models of conformal blocks by extending the genus-0 result, obtained by Nakanishi-Tsuchiya in 1992, to higher genus curves via the sewing procedure. The new ingredient of the proof is an explicit use of the branching rules of the conformal embedding of the affine Lie algebras sl(r) x sl(l) in sl(rl). We recover the strange duality of spaces of generalized theta functions obtained by Belkale, Marian-Oprea, as well as by Oudompheng in the parabolic case. |
| doi_str_mv | 10.4310/MRL.2014.v21.n6.a8 |
| format | Article |
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| ispartof | Mathematical research letters, 2014, Vol.21 (6), p.1353-1366 |
| issn | 1073-2780 1945-001X |
| language | eng |
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| source | International Press Journals; EZB-FREE-00999 freely available EZB journals |
| subjects | Algebraic Geometry Mathematics Representation Theory |
| title | Strange duality revisited |
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