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We argue that the Gopakumar-Vafa interpretation of the topological string partition function can be used to compute and resum certain non-perturbative brane instanton effects of type II CY compactifications. In particular the topological…

High Energy Physics - Theory · Physics 2009-11-13 Andres Collinucci , Pablo Soler , Angel M. Uranga

We examine the problem of counting bound states of BPS black holes on local Calabi-Yau threefolds which are fibrations over a Riemann surface by computing the partition function of q-deformed Yang-Mills theory on the Riemann surface. We…

High Energy Physics - Theory · Physics 2009-11-11 Nicola Caporaso , Michele Cirafici , Luca Griguolo , Sara Pasquetti , Domenico Seminara , Richard J. Szabo

This letter discusses the orientifold projection of the quantum corrections to type IIA strings compactified on rigid Calabi-Yau threefolds. It is shown that N=2 membrane instanton effects give a holomorphic contribution to the…

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

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 study the equivariant generalization of topological strings on toric manifolds, focusing in particular on defining the contributions of constant maps in the genus expansion of the partition function. This approach regularizes the…

High Energy Physics - Theory · Physics 2025-12-05 Luca Cassia , Kiril Hristov

Orientifolds with three-form flux provide some of the simplest string examples of warped compactification. In this paper we show that some models of this type have the unusual feature of D=4, N=3 spacetime supersymmetry. We discuss their…

High Energy Physics - Theory · Physics 2009-10-09 Andrew R. Frey , Joseph Polchinski

Two classes of stringy instanton effects, stronger than standard field theory instantons, are identified in the heterotic string theory. These contributions are established using type IIA/heterotic and type I/heterotic dualities. They…

High Energy Physics - Theory · Physics 2009-10-30 Eva Silverstein

The discrete tensorial charges carried by orientifold planes define n-gerbes in space-time. The simplest way to ensure a consistent string compactification is to require these gerbes to be flat. This results in expressions for the local…

High Energy Physics - Theory · Physics 2010-02-03 Arjan Keurentjes

We show how discrete torsion can be implemented in D=4, N=1 type IIB orientifolds. Some consistency conditions are found from the closed string and open string spectrum and from tadpole cancellation. Only real values of the discrete torsion…

High Energy Physics - Theory · Physics 2009-10-31 Mathias Klein , Raul Rabadan

We embed the large N Chern-Simons/topological string duality in ordinary superstrings. This corresponds to a large $N$ duality between generalized gauge systems with N=1 supersymmetry in 4 dimensions and superstrings propagating on…

High Energy Physics - Theory · Physics 2015-06-25 Cumrun Vafa

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 a duality that relates the T^6/Z_2 orientifold with N=2 flux to standard fluxless Calabi-Yau compactifications of type IIA string theory. Using the duality map, we show that the Calabi-Yau manifolds that arise are abelian surface…

High Energy Physics - Theory · Physics 2009-11-10 Michael B. Schulz

We consider the gauge dyonic string solution of the K3 compactified heterotic string theory in a four dimensional cosmological context. Since for this solution Green-Schwarz as well as Chern-Simons corrections have been taken into account…

High Energy Physics - Theory · Physics 2009-10-30 Klaus Behrndt , Stefan Forste , Stefan Schwager

We study Calabi-Yau compactifications of non relativistic string theory and show that it can be derived from the corresponding relativistic Calabi-Yau compactifications by taking the non relativistic limit of the resulting 4D theory without…

High Energy Physics - Theory · Physics 2023-01-10 Poula Tadros , Iiro Vilja

We analyze the moduli spaces of Calabi-Yau threefolds and their associated conformally invariant nonlinear sigma-models and show that they are described by an unexpectedly rich geometrical structure. Specifically, the Kahler sector of the…

High Energy Physics - Theory · Physics 2009-10-22 P. S. Aspinwall , B. R. Greene , D. R. Morrison

We investigate membrane and fivebrane instanton effects in type IIA string theory compactified on rigid Calabi-Yau manifolds. These effects contribute to the low-energy effective action of the universal hypermultiplet, in four dimensional…

High Energy Physics - Theory · Physics 2007-05-23 Marijn Davidse

As a first step towards studying vector bundle moduli in realistic heterotic compactifications, we identify all holomorphic rational curves in a Calabi-Yau threefold X with Z_3 x Z_3 Wilson lines. Computing the homology, we find that…

High Energy Physics - Theory · Physics 2009-12-07 Volker Braun , Maximilian Kreuzer , Burt A. Ovrut , Emanuel Scheidegger

We derive stability conditions for the critical points of the no-scale scalar potential governing the dynamics of the complex structure moduli and the axio-dilaton in compactifications of type IIB string theory on Calabi-Yau three-folds. We…

High Energy Physics - Theory · Physics 2008-11-26 Katrin Becker , Yu-Chieh Chung , Guangyu Guo

We investigate holomorphic anomalies of partition functions underlying string compactifications on Calabi-Yau fourfolds with background fluxes. For elliptic fourfolds the partition functions have an alternative interpretation as elliptic…

High Energy Physics - Theory · Physics 2022-03-14 Seung-Joo Lee , Wolfgang Lerche , Guglielmo Lockhart , Timo Weigand

This paper concerns orientability of moduli spaces of Spin(7)-instantons on compact 8-manifolds $X$ with Spin(7)-structure for the Lie groups SU($m$) and U($m$), and of moduli spaces of coherent sheaves on Calabi-Yau 4-folds. Such…

Differential Geometry · Mathematics 2025-03-28 Yalong Cao , Jacob Gross , Dominic Joyce