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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 polynomial formulation of the holomorphic anomaly equations governing perturbative topological string theory was used to derive the free energies in a scaling limit to all orders in perturbation theory for any Calabi-Yau threefold.
Abstract: We use the polynomial formulation of the holomorphic anomaly equations governing perturbative topological string theory to derive the free energies in a scaling limit to all orders in perturbation theory for any Calabi–Yau threefold. The partition function in this limit satisfies an Airy differential equation in a rescaled topological string coupling. One of the two solutions of this equation gives the perturbative expansion and the other solution provides geometric hints of the non-perturbative structure of topological string theory. Both solutions can be expanded naturally around strong coupling.

14 citations

Journal ArticleDOI
TL;DR: In this article, the self-duality of the 3-form on the NS5-brane wrapping a Calabi-Yau space is shown to be consistent with the stability conditions.
Abstract: We derive the stability conditions for the M5-brane in topological M-theory using kappa-symmetry. The non-linearly self-dual 3-form on the world-volume is necessarily non-vanishing, as is the case also for the 2-form field strengths on coisotropic branes in topological string theory. It is demonstrated that the self-duality is consistent with the stability conditions, which are solved locally in terms of a tensor in the representation 6 of SU(3) in G_2. The double dimensional reduction of the M5-brane is the D4-brane, and its direct reduction is an NS5-brane. We show that the equation of motion for the 3-form on the NS5-brane wrapping a Calabi-Yau space is exactly the Kodaira-Spencer equation, providing support for a string-fivebrane duality in topological string theory.

14 citations

Journal ArticleDOI
TL;DR: In this paper, the authors present an explicit expression for the grand potential of the U(N)^3 superconformal Chern-Simons theory with the Chern Simons levels being (k, 0,k).
Abstract: We present an explicit expression for the grand potential of the U(N)^3 superconformal Chern-Simons theory with the Chern-Simons levels being (k,0,-k). From the viewpoint of the Newton polygon, it is expected that the grand potential is given by the free energy of the topological string theory on the local D_5 del Pezzo geometry, though the explicit identification was a puzzle for years. We show how the expectation is realized explicitly. As a bonus, we can also study the Z_2 orbifold of this theory and find the grand potential is now given in terms of the local E_7 del Pezzo geometry.

14 citations

Journal ArticleDOI
TL;DR: In this paper, a conformal field theory with non-compact target spaces is applied to string theory, where the boundary terms in the target space are corrected by boundary terms of general operators on the sphere and boundary terms on the disk.
Abstract: We study some of the novel properties of conformal field theories with noncompact target spaces as applied to string theory. Standard CFT results get corrected by boundary terms in the target space in a way consistent with the expected spacetime physics. For instance, one-point functions of general operators on the sphere and boundary operators on the disk need not vanish; we show that they are instead equal to boundary terms in spacetime. By applying this result to vertex operators for spacetime gauge transformations with support at infinity, we derive formulas for conserved gauge charges in string theory. This approach provides a direct CFT definition of ADM energy-momentum in string theory.

14 citations

Journal ArticleDOI
TL;DR: In this article, it was shown that there is a universal limit of the topological string free energies at the large radius point, and that the free energies keep a nonholomorphic dependence on the complex structure moduli space and their functional form is the same for all Calabi-Yau geometries.
Abstract: We show that there is a natural universal limit of the topological string free energies at the large radius point. The new free energies keep a nonholomorphic dependence on the complex structure moduli space and their functional form is the same for all Calabi–Yau geometries, compact and noncompact alike. The asymptotic nature of the free energy expansion changes in this limit due to a milder factorial growth of its coefficients, and this implies a transseries extension with instanton effects in $$\exp (- 1/g_s^2)$$ , of NS-brane type, rather than $$\exp (-1/g_s)$$ , of D-brane type. We show a relation between the instanton action of NS-brane type and the volume of the Calabi–Yau manifold which points to a possible interpretation in terms of NS5-branes. A similar rescaling limit has been considered recently leading to an Airy equation for the partition function which is here used to explain the resurgent properties of the rescaled transseries.

14 citations

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