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Kazhdan-Lusztig equivalence and fusion of Kac modules in Virasoro logarithmic models | | P.V. Bushlanov
; A.M. Gainutdinov
; I.Yu. Tipunin
; | | Date: |
1 Feb 2011 | | Abstract: | The subject of our study is the Kazhdan--Lusztig (KL) equivalence in the
context of a one-parameter family of logarithmic models based on Virasoro
symmetry with the (1,p) central charge. All finite-dimensional indecomposable
modules of the KL-dual quantum group -- the "full" Lusztig quantum sl(2) at the
root of unity -- are described. Our main result consists calculation of tensor
products of any pair of indecomposable modules. Basing on the Kazhdan-Lusztig
equivalence between quantum groups and vertex-operator algebras, fusion rules
of Kac modules over the Virasoro algebra in the (1,p) LCFT models are
conjectured. | | Source: | arXiv, 1102.0271 | | Services: | Forum | Review | PDF | Favorites | |
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