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We show how topological open string theory amplitudes can be computed by using relative stable morphisms in the algebraic category. We achieve our goal by explicitly working through an example which has been previously considered by Ooguri…

High Energy Physics - Theory · Physics 2011-07-21 Jun Li , Yun S. Song

We explain and illustrate how to compute string-loop amplitudes in Calabi-Yau orientifold compactification in the large volume limit with the help of the patch-by-patch description of string field theory. We compute the one-loop partition…

High Energy Physics - Theory · Physics 2026-01-15 Manki Kim

We compute all loop topological string amplitudes on orientifolds of local Calabi-Yau manifolds, by using geometric transitions involving SO/Sp Chern-Simons theory, localization on the moduli space of holomorphic maps with involution, and…

High Energy Physics - Theory · Physics 2008-11-26 Vincent Bouchard , Bogdan Florea , Marcos Marino

We calculate the topological string amplitudes of Calabi-Yau toric threefolds corresponding to 4D, N=2, SU(2) gauge theory with N_f=0,1,2,3,4 fundamental hypermultiplets by using the method of the geometric transition and show that they…

High Energy Physics - Theory · Physics 2007-05-23 Yukiko Konishi

Topological string theory has multi-instanton sectors which lead to non-perturbative effects in the string coupling constant and control the large order behavior of the perturbative genus expansion. As proposed by Couso, Edelstein, Schiappa…

High Energy Physics - Theory · Physics 2023-11-01 Jie Gu , Marcos Marino

We derive topological string amplitudes on local Calabi-Yau manifolds in terms of polynomials in finitely many generators of special functions. These objects are defined globally in the moduli space and lead to a description of mirror…

High Energy Physics - Theory · Physics 2011-02-25 M. Alim , J. D. Laenge , P. Mayr

We set up, purely in A-model terms, a novel formalism for the global solution of the open and closed topological A-model on toric Calabi-Yau threefolds. The starting point is to build on recent progress in the mathematical theory of open…

High Energy Physics - Theory · Physics 2015-05-27 Andrea Brini

We describe a new class of instanton effects in string compactifications that preserve only N=1 supersymmetry in four dimensions. As is well-known, worldsheet or brane instantons in such a background can sometimes contribute to an effective…

High Energy Physics - Theory · Physics 2010-04-07 Chris Beasley , Edward Witten

I use the universal instanton formalism to discuss quantum effects in the open-closed topological string theory of a Calabi-Yau A-model, in the presence of a multiply-wrapped `Floer' D-brane. This gives a precise meaning (up to the issue of…

High Energy Physics - Theory · Physics 2007-05-23 C. I. Lazaroiu

We consider orientifolds of Calabi-Yau 3-folds in the context of Type IIA and Type IIB superstrings. We show how mirror symmetry can be used to sum up worldsheet instanton contributions to the superpotential for Type IIA superstrings. The…

High Energy Physics - Theory · Physics 2007-05-23 Bobby Acharya , Mina Aganagic , Kentaro Hori , Cumrun Vafa

Type IIA string theory compactified on a Calabi-Yau threefold has a hypermultiplet moduli space whose metric is known to receive non-perturbative corrections from Euclidean D2-branes wrapped on 3-cycles. These corrections have been computed…

High Energy Physics - Theory · Physics 2025-07-14 Sergei Alexandrov , Ashoke Sen , Bogdan Stefański

Open topological string partition function on compact Calabi-Yau threefolds satisfies the extended holomorphic anomaly equation. By direct integration, we solve these equations and obtain partition functions for first several genus and…

High Energy Physics - Theory · Physics 2022-07-29 Xuan Li , Yuan-Chun Jing , Fu-Zhong Yang

We use a D-instanton or physical gauge approach to re-derive the heterotic string worldsheet instanton contribution to the superpotential in Calabi-Yau compactification. We derive an analogous formula for worldsheet instanton corrections to…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

In this paper, we study the open topological string amplitudes on Calabi-Yau threefolds by the extended holomorphic anomaly equation. The disk two-point function determined by the domainwall tension, together with the Yukawa couplings,…

High Energy Physics - Theory · Physics 2022-09-07 Xuan Li , Yuan-Chun Jing , Fu-Zhong Yang

We study topological open string amplitudes on orientifolds without fixed planes. We determine the contributions of the untwisted and twisted sectors as well as the BPS structure of the amplitudes. We illustrate our general results in…

High Energy Physics - Theory · Physics 2009-09-29 Vincent Bouchard , Bogdan Florea , Marcos Marino

We consider the interactions of strings on T-folds from the world-sheet point of view which are exact in $\alpha'$. As a concrete example, we take a model where the internal torus at the so(8) enhancement point is twisted by T-duality…

High Energy Physics - Theory · Physics 2022-07-06 Yuji Satoh , Yuji Sugawara

We use the combined action of Z_2-chiral reflections (T-dualities) and shifts to build N=1,2 supersymmetric four-dimensional string compactifications with few moduli. In particular, we consider Z_2^4 asymmetric orbifolds of Type IIB on the…

High Energy Physics - Theory · Physics 2009-06-19 Pascal Anastasopoulos , Massimo Bianchi , Jose F. Morales , Gianfranco Pradisi

We compute the instanton expansions of the holomorphic couplings in the effective action of certain $\cx N=1$ supersymmetric four-dimensional open string vacua. These include the superpotential $W(\phi)$, the gauge kinetic function…

High Energy Physics - Theory · Physics 2007-05-23 P. Mayr

We determine the instanton corrected hypermultiplet moduli space in type IIB compactifications near a Calabi-Yau conifold point where the size of a two-cycle shrinks to zero. We show that D1-instantons resolve the conifold singularity…

High Energy Physics - Theory · Physics 2010-02-03 Frank Saueressig , Stefan Vandoren

We study the topological string on local P2 with O-plane and D-brane at its real locus, using three complementary techniques. In the A-model, we refine localization on the moduli space of maps with respect to the torus action preserved by…

High Energy Physics - Theory · Physics 2009-02-05 Daniel Krefl , Johannes Walcher
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