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The moduli dependence of $(2,2)$ superstring compactifications based on Calabi--Yau hypersurfaces in weighted projective space has so far only been investigated for Fermat-type polynomial constraints. These correspond to Landau-Ginzburg…

High Energy Physics - Theory · Physics 2014-11-18 P. Berglund , S. Katz , A. Klemm

Hypermultiplet couplings in type IIA string theory on a Calabi-Yau space can be quantum corrected by D2-brane instantons wrapping special Lagrangian cycles. On the other hand, hypermultiplet couplings in the heterotic string on a K3 surface…

High Energy Physics - Theory · Physics 2008-11-26 Nick Halmagyi , Ilarion V. Melnikov , Savdeep Sethi

We compute instantonic effects in globally consistent T^6/Z2xZ2 orientifold models with discrete torsion and magnetised D-branes. We consider fractional branes and instantons wrapping the same rigid cycles. We clarify and analyse in detail…

High Energy Physics - Theory · Physics 2014-11-18 C. Angelantonj , C. Condeescu , E. Dudas , M. Lennek

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 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

We study the rigid limit of a class of hypermultiplet moduli spaces appearing in Calabi-Yau compactifications of type IIB string theory, which is induced by a local limit of the Calabi-Yau. We show that the resulting hyperkahler manifold is…

High Energy Physics - Theory · Physics 2025-07-14 Sergei Alexandrov , Sibasish Banerjee , Pietro Longhi

In this note, we comment on Calabi-Yau spaces with Hodge numbers $h_{1,1}=3$ and $h_{2,1}=243$. We focus on the Calabi-Yau space $WP_{1,1,2,8,12}(24)$ and show how some of its instanton numbers are related to coefficients of certain modular…

High Energy Physics - Theory · Physics 2016-08-15 Gabriel Lopes Cardoso , Gottfried Curio , Dieter Lüst , Thomas Mohaupt

We argue how boundary B-type Landau-Ginzburg models based on matrix factorizations can be used to compute exact superpotentials for intersecting D-brane configurations on compact Calabi-Yau spaces. In this paper, we consider the dependence…

High Energy Physics - Theory · Physics 2018-04-13 Wolfgang Lerche

We clarify certain aspects and discuss extensions of the recently introduced string D-instanton calculus (hep-th/0609191). The one-loop determinants are related to one-loop open string threshold corrections in intersecting D6-brane models.…

High Energy Physics - Theory · Physics 2009-10-07 Nikolas Akerblom , Ralph Blumenhagen , Dieter Lust , Maximilian Schmidt-Sommerfeld

We study a flat connection defined on the open-closed deformation space of open string mirror symmetry for type II compactifications on Calabi-Yau threefolds with D-branes. We use flatness and integrability conditions to define…

High Energy Physics - Theory · Physics 2015-06-03 Murad Alim , Michael Hecht , Hans Jockers , Peter Mayr , Adrian Mertens , Masoud Soroush

We study self-dual instantons of topological charge $Q=r/N$, for any natural $r$, in $SU(N)$ Yang-Mills theory on a four torus with 't Hooft twists, by embedding them into worldvolume theories of $D$-branes. To study their moduli, we…

High Energy Physics - Theory · Physics 2026-04-27 Erich Poppitz

We study open-closed orbifold Gromov-Witten invariants of 3-dimensional Calabi-Yau smooth toric Deligne-Mumford (DM) stacks (with possibly non-trivial generic stabilizers and semi-projective coarse moduli spaces) relative to Lagrangian…

Algebraic Geometry · Mathematics 2022-11-11 Bohan Fang , Chiu-Chu Melissa Liu , Hsian-Hua Tseng

In a toroidal orbifold of type IIB string theory we study instanton effects in N=2 super Yang-Mills theories engineered with systems of wrapped magnetized D9 branes and Euclidean D5 branes. We analyze the various open string sectors in this…

High Energy Physics - Theory · Physics 2009-06-11 Marco Billo , Marialuisa Frau , Igor Pesando , Paolo Di Vecchia , Alberto Lerda , Raffaele Marotta

The correspondence between Matrix String Theory in the strong coupling limit and IIA superstring theory can be shown by means of the instanton solutions of the former. We construct the general instanton solutions of Matrix String Theory…

High Energy Physics - Theory · Physics 2009-10-31 G. Bonelli , L. Bonora , F. Nesti , A. Tomasiello

By analyzing qualitative aspects of NS5-brane instanton corrections, we determine the topology of the hypermultiplet moduli space M_H in Calabi-Yau compactifications of type II string theories at fixed value of the dilaton and of the…

High Energy Physics - Theory · Physics 2011-02-25 Sergei Alexandrov , Daniel Persson , Boris Pioline

A type IIA string (or F-theory) compactified on a Calabi-Yau threefold is believed to be dual to a heterotic string on a K3 surface times a 2-torus (or on a K3 surface). We consider how the resulting moduli space of hypermultiplets is…

High Energy Physics - Theory · Physics 2010-02-03 Paul S. Aspinwall

We analyze the process of string vacuum destabilization due to instanton induced superpotential couplings which depend linearly on charged fields. These non-perturbative instabilities result in potentials for the D-brane moduli and lead to…

High Energy Physics - Theory · Physics 2014-11-20 P. G. Camara , C. Condeescu , E. Dudas , M. Lennek

In this thesis, we study a class of special Lagrangian submanifolds of toric Calabi-Yau manifolds and construct their mirrors using some techniques developed in the SYZ programme. We present a justification on the conjecture on the mirror…

Symplectic Geometry · Mathematics 2017-01-02 Savio Chung

The genus g free energies of matrix models can be promoted to modular invariant, non-holomorphic amplitudes which only depend on the geometry of the classical spectral curve. We show that these non-holomorphic amplitudes satisfy the…

High Energy Physics - Theory · Physics 2009-11-13 Bertrand Eynard , Marcos Marino , Nicolas Orantin

On an oriented, compact, connected, real four-dimensional manifold, $M$, we introduce a topological Lagrangian gauge field theory with a Bogomol'nyi structure that leads to non-singular, finite-Action, stable solutions to the variational…

High Energy Physics - Theory · Physics 2008-02-03 M. Temple-Raston