D-Brane Amplitudes in Topological String on Conifold
نویسنده
چکیده
We study the relation between two kinds of topological amplitudes of non-compact Dbranes 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 ChernSimons 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.
منابع مشابه
Non-compact Topological Branes on Conifold
We consider non-compact branes in topological string theories on a class of Calabi-Yau spaces including the resolved conifold and its mirror. We compute the amplitudes of the insertion of non-compact Lagrangian branes in the A-model on the resolved conifold in the context of the topological vertex as well as the melting crystal picture. They all agree with each other and also agree with the res...
متن کاملElectric Tachyon Inflation
We propose that under certain conditions the universal open string tachyon can drive topological inflation in moduli stabilised frameworks. Namely, the presence of electric field in the world volume of the D-brane can slow down its decay leading to a phenomenological model of inflation. The conditions for inflation to take place are difficult to satisfy in the standard warped deformed conifold ...
متن کاملRefined matrix models from BPS counting
We construct a free fermion and matrix model representation of refined Bogomol’nyi-PrasadSommerfeld generating functions of D2 and D0 branes bound to a single D6 brane, in a class of toric manifolds without compact four-cycles. In appropriate limit we obtain a matrix model representation of refined topological string amplitudes. We consider a few explicit examples which include a matrix model f...
متن کاملInstanton amplitudes in open-closed topological string theory
I use the universal instanton formalism to discuss quantum effects in the openclosed topological string theory of a Calabi-Yau A-model, in the presence of a multiplywrapped ‘Floer’ D-brane. This gives a precise meaning (up to the issue of compactifying the relevant moduli spaces) to the instanton corrections which affect sigma model and topological string amplitudes. The cohomological formalism...
متن کاملQuantum A∞-Structures for Open-Closed Topological Strings
We study factorizations of topological string amplitudes on higher genus Riemann surfaces with multiple boundary components and find quantum A∞-relations, which are the higher genus analog of the (classical) A∞-relations on the disk. For topological strings with ĉ = 3 the quantum A∞-relations are trivially satisfied on a single D-brane, whereas in a multiple Dbrane configuration they may be use...
متن کامل