D-Brane Amplitudes in Topological String on Conifold
arXiv:hep-th/0606048 · doi:10.1016/j.physletb.2006.12.019
Abstract
We 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.
13 pages; v2:references added
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- Exact results and Schur expansions in quiver Chern-Simons-matter theories
- q-Deformed Oscillators and D-branes on Conifold
- Veneziano Amplitudes, Spin Chains and String Models
- New strings for old Veneziano amplitudes IV.Connections with spin chains and other stochastic systems