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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, it was shown that the amplitudes of both string theories have the same spectrum of physical states without making any assumption on the form of the physical states, which is reminiscent of a well-known fact in the theory of induced representations.
Abstract: Very recently Berkovits and Vafa have argued that the $N{=}0$ string is a particular choice of background of the $N{=}1$ string. Under the assumption that the physical states of the $N{=}0$ string theory came essentially from the matter degrees of freedom, they proved that the amplitudes of both string theories agree. They also conjectured that this should persist whatever the form of the physical states. The aim of this note is to prove that both theories have the same spectrum of physical states without making any assumption on the form of the physical states. We also notice in passing that this result is reminiscent of a well-known fact in the theory of induced representations and we explore what repercussions this may have in the search for the universal string theory.
28 citations
TL;DR: In this paper, a general construction of all cyclic minimal models for a given A∞-algebra is presented and applied to the case of = 2 supersymmetric Landau-Ginzburg models.
Abstract: Amplitudes in open topological string theory may be described completely by certain A∞-categories. We detail a general construction of all cyclic minimal models for a given A∞-algebra and apply this result to the case of = 2 supersymmetric Landau-Ginzburg models. This allows to solve the tree-level theory in the sense that all amplitudes and hence the effective superpotential can be computed algorithmically. Furthermore, the construction provides a novel derivation of the topological metric of such models.
28 citations
TL;DR: In this paper, the cohomological properties of a two-dimensional free Abelian gauge theory in the framework of BRST formalism are discussed and the Lagrangian density of this theory is expressed as the sum of terms that are BRST- and co-BRST invariants.
Abstract: We discuss some aspects of cohomological properties of a two-dimensional free Abelian gauge theory in the framework of BRST formalism. We derive the conserved and nilpotent BRST- and co-BRST charges and express the Hodge decomposition theorem in terms of these charges and a conserved bosonic charge corresponding to the Laplacian operator. It is because of the topological nature of free U(1) gauge theory that the Laplacian operator goes to zero when equations of motion are exploited. We derive two sets of topological invariants which are related to each-other by a certain kind of duality transformation and express the Lagrangian density of this theory as the sum of terms that are BRST- and co-BRST invariants. Mathematically, this theory captures together some of the key features of Witten- and Schwarz type of topological field theories.
28 citations
TL;DR: The real vertex formalism for the topological string partition function with D-branes and O-planes at the fixed point locus of an anti-holomorphic involution acting non-trivially on the toric diagram of any local toric Calabi-Yau manifold was developed in this article.
28 citations
TL;DR: In this article, a scenario for dynamical supersymmetry breaking in string compactifications based on geometric engineering of quiver gauge theories is proposed, where the runaway behavior of fractional branes at del Pezzo singularities can be stabilized by a flux superpotential in compact models.
28 citations