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We discuss the generation of superpotentials in four-dimensional, N = 1 supersymmetric field theories arising from type IIA D6-branes wrapped on supersymmetric three-cycles of a Calabi-Yau threefold. In general, nontrivial superpotentials…

High Energy Physics - Theory · Physics 2009-10-07 Shamit Kachru , Sheldon Katz , Albion Lawrence , John McGreevy

We apply the methods recently developed for computation of type IIA disk instantons using mirror symmetry to a large class of D-branes wrapped over Lagrangian cycles of non-compact Calabi-Yau 3-folds. Along the way we clarify the notion of…

High Energy Physics - Theory · Physics 2015-06-25 Mina Aganagic , Albrecht Klemm , Cumrun Vafa

We use the gauged linear sigma model introduced by Witten to calculate instanton expansions for correlation functions in topological sigma models with target space a toric variety $V$ or a Calabi--Yau hypersurface $M \subset V$. In the…

High Energy Physics - Theory · Physics 2011-10-11 David R. Morrison , M. Ronen Plesser

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 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 discuss two-dimensional sigma models on moduli spaces of instantons on K3 surfaces. These N=(4,4) superconformal field theories describe the near-horizon dynamics of the D1-D5-brane system and are dual to string theory on AdS_3. We…

High Energy Physics - Theory · Physics 2009-10-31 R. Dijkgraaf

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

Aided by mirror symmetry, we determine the number of holomorphic disks ending on the real Lagrangian in the quintic threefold. The tension of the domainwall between the two vacua on the brane, which is the generating function for the open…

High Energy Physics - Theory · Physics 2008-11-26 Johannes Walcher

We study the open string extension of the mirror map for N=1 supersymmetric type II vacua with D-branes on non-compact Calabi-Yau manifolds. Its definition is given in terms of a system of differential equations that annihilate certain…

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

We formulate and study a class of massive N=2 supersymmetric gauge field theories coupled to boundary degrees of freedom on the strip. For some values of the parameters, the infrared limits of these theories can be interpreted as open…

High Energy Physics - Theory · Physics 2009-11-07 Simeon Hellerman , Shamit Kachru , Albion Lawrence , John McGreevy

We use mirror symmetry to determine and sum up a class of membrane instanton corrections to the hypermultiplet moduli space metric arising in Calabi-Yau threefold compactifications of type IIA strings. These corrections are mirror to the D1…

High Energy Physics - Theory · Physics 2008-12-18 Daniel Robles-Llana , Frank Saueressig , Ulrich Theis , Stefan Vandoren

We study the F-terms in N=1 supersymmetric, d=4 gauge theories arising from D(p+3)-branes wrapping supersymmetric p-cycles in a Calabi-Yau threefold. If p is even the spectrum and superpotential for a single brane are determined by purely…

High Energy Physics - Theory · Physics 2009-10-07 Shamit Kachru , Sheldon Katz , Albion Lawrence , John McGreevy

We consider non-perturbative superpotentials from world-sheet instantons wrapped on holomorphic genus zero curves in heterotic string theory. These superpotential contributions feature prominently in moduli stabilization and large field…

High Energy Physics - Theory · Physics 2020-03-18 Evgeny I. Buchbinder , Andre Lukas , Burt A. Ovrut , Fabian Ruehle

We derive the fivebrane instanton corrections to the hypermultiplet moduli space $M_H$ of Calabi-Yau string vacua using S-duality symmetry of the type IIB formulation. The result is given in terms of a set of holomorphic functions on the…

High Energy Physics - Theory · Physics 2015-01-07 Sergei Alexandrov , Sibasish Banerjee

In this note, we study D-brane instantons which intersect N=1 supersymmetric configurations of space-filling D-branes in general Calabi-Yau compactifications of type IIB string theory. Our focus is on rigid ``stringy instantons'' -- those…

High Energy Physics - Theory · Physics 2008-03-19 Shamit Kachru , Dusan Simic

We investigate membrane instanton effects in type IIA strings compactified on rigid Calabi-Yau manifolds. These effects contribute to the low-energy effective action of the universal hypermultiplet. In the absence of additional fivebrane…

High Energy Physics - Theory · Physics 2007-05-23 Marijn Davidse , Frank Saueressig , Ulrich Theis , Stefan Vandoren

For the resolved conifold with one outer D-brane in arbitrary framing, we present some results for the open string partition functions obtained by some operator manipulations. We prove some conjectures by Aganagic-Vafa and…

Algebraic Geometry · Mathematics 2010-01-05 Jian Zhou

We use toric geometry to study open string mirror symmetry on compact Calabi-Yau manifolds. For a mirror pair of toric branes on a mirror pair of toric hypersurfaces we derive a canonical hypergeometric system of differential equations,…

High Energy Physics - Theory · Physics 2009-10-02 M. Alim , M. Hecht , P. Mayr , A. Mertens

We study, by means of mirror symmetry, the quantum geometry of the K\"ahler-class parameters of a number of Calabi-Yau manifolds that have $b_{11}=2$. Our main interest lies in the structure of the moduli space and in the loci corresponding…

High Energy Physics - Theory · Physics 2009-10-22 Philip Candelas , Xenia de la Ossa , Anamaria Font , Sheldon Katz , David R. Morrison

We investigate quantum corrections to the hypermultiplet moduli space M in Calabi-Yau compactifications of type II string theories, with particular emphasis on instanton effects from Euclidean NS5-branes. Based on the consistency of D- and…

High Energy Physics - Theory · Physics 2015-03-30 Sergei Alexandrov , Daniel Persson , Boris Pioline
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