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Topological string theory
About: Topological string theory is a research topic. Over the lifetime, 1206 publications have been published within this topic receiving 54758 citations.
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TL;DR: In this paper, the Serre pairing on algebraic Calabi-Yau triangulated categories admitting a generator was shown to be determined by a cyclic pairing on an enhancement of the generator.
Abstract: I study A-infinity enhancements of algebraic Calabi-Yau triangulated categories admitting a (triangle) generator, showing that the Serre pairing on such categories determines and is determined by a cyclic pairing on an enhancement of the generator Using this result, I construct a formal topological string field action inducing an extended D-brane superpotential for such categories I also give a procedure for lifting certain 2d boundary topological field theories to open topological string theories generated by a single D-brane
16 citations
Book•
01 Jan 1992
TL;DR: In this paper, the authors introduce topological and conformal field theory for string theory, and introduce a matrix model and a Liouville theory for topological string theory in 2 dimensions.
Abstract: Introduction to topological and conformal field theory, H.Verlinde introduction to matrix model and liouville theory, E.Martinec some properties of non-critical strings, D.Kutasov instantons and solitons in heterotic string theory, J.Harvey introduction to topological and conformal field theory, R.Dijkgraaf introduction to W Algebras, A.Bilal string theory in 2 dimensions, I.Klebanov instantons and solitons in heterotic string theory, C.Callan integrable models, L.D.Faddeev Liouville theory and its recent developments, L.Alvarez-Gaume target space duality symmetries and effective actions of string theory, D.Lust geometric structures in effective superstring lagrangians, P.Fre duality invariant effective action for supersymmetries, M.Porrati transition from critical to non-critical string at high temperatures, C.Kounnas correlation functions in compactified c=1 quantum gravity, I.Klebanov the origin of the string equation, C.Gomez quantization of Sl(2,R) Chern-Simons topological theory, C.Imbimbo string propagation in a black hole geometry, R.Dijkgraaf double scaling limit in the O(N) vector model, P.Di Vecchia singular vectors in virasoro representations, M.Bauer Schwinger-Dyson equations for 2-matrix model and Wa3 algebra, K.S.Narain O(N) vector model in the double scaling limit, J.Zinn-Justin.
16 citations
TL;DR: In this paper, the effects of fluxes on euclidean D-brane instantons purely in terms of the 4D effective action are described. But the effect corresponds to the dressing of the effective nonperturbative 4d effective vertex with 4d flux superpotential interactions, generated when the moduli fields made massive by the flux are integrated out.
Abstract: We provide a description of the effects of fluxes on euclidean D-brane instantons purely in terms of the 4d effective action. The effect corresponds to the dressing of the effective non-perturbative 4d effective vertex with 4d flux superpotential interactions, generated when the moduli fields made massive by the flux are integrated out. The description in terms of effective field theory allows a unified description of non-perturbative effects in all flux compactifications of a given underlying fluxless model, globally in the moduli space of the latter. It also allows us to describe explicitly the effects on D-brane instantons of fluxes with no microscopic description, like non-geometric fluxes. At the more formal level, the description has interesting connections with the bulk-boundary map of open-closed two-dimensional topological string theory, and with the $\NN=1$ special geometry.
16 citations
TL;DR: In this paper, the authors suggest a geometric origin for the heterotic string, which arises from a specific choice of boundary conditions on the left and right boundaries of a cylindrical topological membrane.
16 citations
TL;DR: In this article, a topological string description of the c < 1 non-critical string whose matter part is defined by the time-like linear dilaton CFT was studied, and it was shown that the topologically twisted N=2 SL(2,R)/U(1) model is equivalent to the c − 1 noncritical string compactified at a specific radius by comparing their physical spectra and correlation functions.
Abstract: We study a topological string description of the c < 1 non-critical string whose matter part is defined by the time-like linear dilaton CFT. We show that the topologically twisted N=2 SL(2,R)/U(1) model (or supersymmetric 2D black hole) is equivalent to the c < 1 non-critical string compactified at a specific radius by comparing their physical spectra and correlation functions. We examine another equivalent description in the topological Landau-Ginzburg model and check that it reproduces the same scattering amplitudes. We also discuss its matrix model dual description.
16 citations