A quantum McKay correspondence for fractional 2p-branes on LG orbifolds
| dc.creator | Ezhuthachan, Bobby | |
| dc.creator | Govindarajan, Suresh | |
| dc.creator | Jayaraman, T. | |
| dc.date | 2005-04-20 | |
| dc.date | 2005-06-27 | |
| dc.date.accessioned | 2026-07-07T04:18:16Z | |
| dc.date.available | 2026-07-07T04:18:16Z | |
| dc.description | We study fractional 2p-branes and their intersection numbers in non-compact orbifolds as well the continuation of these objects in Kahler moduli space to coherent sheaves in the corresponding smooth non-compact Calabi-Yau manifolds. We show that the restriction of these objects to compact Calabi-Yau hypersurfaces gives the new fractional branes in LG orbifolds constructed by Ashok et. al. in hep-th/0401135. We thus demonstrate the equivalence of the B-type branes corresponding to linear boundary conditions in LG orbifolds, originally constructed in hep-th/9907131, to a subset of those constructed in LG orbifolds using boundary fermions and matrix factorization of the world-sheet superpotential. The relationship between the coherent sheaves corresponding to the fractional two-branes leads to a generalization of the McKay correspondence that we call the quantum McKay correspondence due to a close parallel with the construction of branes on non-supersymmetric orbifolds. We also provide evidence that the boundary states associated to these branes in a conformal field theory description corresponds to a sub-class of the boundary states associated to the permutation branes in the Gepner model associated with the LG orbifold. | |
| dc.description | LaTeX2e, 1+39 pages, 3 figures (v2) refs added, typos and report no. corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/0504164 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0504164 | |
| dc.identifier | JHEP 0508 (2005) 050 | |
| dc.identifier | doi:10.1088/1126-6708/2005/08/050 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53108 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A quantum McKay correspondence for fractional 2p-branes on LG orbifolds | |
| dc.type | text |