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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 article, the S-matrix elements of the gauge invariant operators corresponding to on-shell closed strings were studied in open string field theory, and they were shown to be identical to the corresponding disk-level S-mixture elements in perturbative string theory, by mapping the world-sheet of these amplitudes to the upper half z-plane.

7 citations

19 Feb 2015
TL;DR: In this article, the idea of resurgence is used to obtain non-perturbative information from the large-order behavior of perturbative ex- pansions, which can be very fruitful in physics applications.
Abstract: The mathematical idea of resurgence allows one to obtain non- perturbative information from the large{order behavior of perturbative ex- pansions. This idea can be very fruitful in physics applications, in particular if one does not have access to such nonperturbative information from rst prin- ciples. An important example is topological string theory, which is a priori only dened as an asymptotic perturbative expansion in the coupling constant gs. We show how the idea of resurgence can be combined with the holomor- phic anomaly equation to extend the perturbative denition of the topological string and obtain, in a model{independent way, a large amount of information about its nonperturbative structure.

7 citations

Journal ArticleDOI
TL;DR: Using degree theory, an elementary topological proof is given of some well-known results in the theory of several complex variables as mentioned in this paper, in particular it is shown that a compact analytic variety consists of finitely many points.
Abstract: Using degree theory, an elementary topological proof is given of some well-known results in the theory of several complex variables. In particular it is shown that a compact analytic variety consists of finitely many points.

7 citations

Journal ArticleDOI
TL;DR: In this article, it was shown that the general shape of the newly created universe is constrained by the OVV formalism: the sections have to be flat and compact, and this constraint can be extended to higher dimensions.
Abstract: Ooguri, Vafa, and Verlinde have outlined an approach to two-dimensional accelerating string cosmology which is based on topological string theory, the ultimate objective being to develop a string-theoretic understanding of ``creating the Universe from nothing". The key technical idea here is to assign two different Lorentzian spacetimes to a certain Euclidean space. Here we give a simple framework which allows this to be done in a systematic way. This framework can be extended to higher dimensions. We find then that the general shape of the spatial sections of the newly created Universe is constrained by the OVV formalism: the sections have to be flat and compact.

7 citations

Journal ArticleDOI
TL;DR: The closed topological vertex is the simplest off-strip case of non-compact toric Calabi-Yau threefolds with acyclic web diagrams.
Abstract: The closed topological vertex is the simplest ``off-strip'' case of non-compact toric Calabi-Yau threefolds with acyclic web diagrams. By the diagrammatic method of topological vertex, open string amplitudes of topological string theory therein can be obtained by gluing a single topological vertex to an ``on-strip'' subdiagram of the tree-like web diagram. If non-trivial partitions are assigned to just two parallel external lines of the web diagram, the amplitudes can be calculated with the aid of techniques borrowed from the melting crystal models. These amplitudes are thereby expressed as matrix elements, modified by simple prefactors, of an operator product on the Fock space of 2D charged free fermions. This fermionic expression can be used to derive $q$-difference equations for generating functions of special subsets of the amplitudes. These $q$-difference equations may be interpreted as the defining equation of a quantum mirror curve.

7 citations

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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20235
20228
202115
202012
201915
201817