D-Brane Amplitudes in Topological String on Conifold

dc.creatorOkuyama, Kazumi
dc.date2006-06-06
dc.date2006-06-08
dc.date.accessioned2026-07-07T11:06:38Z
dc.date.available2026-07-07T11:06:38Z
dc.descriptionWe study the relation between two kinds of topological amplitudes of non-compact D-branes on conifold. In the A-model, D-branes are represented by fermion operators in the melting crystal picture and the amplitudes are given by the quantum dilogarithm. In the mirror B-model, D-branes correspond to the determinant operator det(x-M) in the Chern-Simons matrix model and the amplitudes are given by the Stieltjes-Wigert polynomial. We show that these two amplitudes are related by a certain integral transformation. We argue that this transformation represents the deformation of closed string background due to the presence of D-branes.
dc.description13 pages; v2:references added
dc.identifierhttps://arxiv.org/abs/hep-th/0606048
dc.identifierhttp://arxiv.org/abs/hep-th/0606048
dc.identifierPhys.Lett.B645:275-280,2007
dc.identifierdoi:10.1016/j.physletb.2006.12.019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189584
dc.subjectHigh Energy Physics - Theory
dc.titleD-Brane Amplitudes in Topological String on Conifold
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