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In the first part of this article, we find fractional D3-branes supergravity solutions on orientifolded C^2/Z_2 orbifolds of type IIB string theory. The one-loop corrected gauge couplings for the symplectic or orthogonal groups living on…

High Energy Physics - Theory · Physics 2009-11-07 P. Bain

We demonstrate that a strongly exceptional collection on a singular toric surface can be used to derive the gauge theory on a stack of D3-branes probing the Calabi-Yau singularity caused by the surface shrinking to zero size. A strongly…

High Energy Physics - Theory · Physics 2009-11-11 Christopher P. Herzog , Robert L. Karp

We introduce brane brick models, a novel type of Type IIA brane configurations consisting of D4-branes ending on an NS5-brane. Brane brick models are T-dual to D1-branes over singular toric Calabi-Yau 4-folds. They fully encode the infinite…

High Energy Physics - Theory · Physics 2016-02-16 Sebastian Franco , Sangmin Lee , Rak-Kyeong Seong

With model building applications in mind, we collect and develop basic techniques to analyze the landscape of D7-branes in type IIB compact Calabi-Yau orientifolds, in three different pictures: F-theory, the D7 worldvolume theory and…

High Energy Physics - Theory · Physics 2009-02-09 Andres Collinucci , Frederik Denef , Mboyo Esole

We develop tools for determining the gauge theory resulting from a configuration of Type IIB D3-branes probing a non-compact, toric Calabi-Yau 3-fold, in the presence of additional flavor D7-branes with general embeddings. Two main…

High Energy Physics - Theory · Physics 2015-06-16 Sebastian Franco , Angel Uranga

We study local mirror symmetry on non-compact Calabi-Yau manifolds (conifold type of singularities) in the presence of D3 brane probes. Using an intermediate brane setup of NS 5-branes `probed' by D4 resp. D5 branes, we can explicitly…

High Energy Physics - Theory · Physics 2009-10-07 Mina Aganagic , Andreas Karch , Dieter Lust , Andre Miemiec

The theory of coverings of the two-dimensional torus is a standard part of algebraic topology and has applications in several topics in string theory, for example, in topological strings. This paper initiates applications of this theory to…

High Energy Physics - Theory · Physics 2015-03-19 Amihay Hanany , Vishnu Jejjala , Sanjaye Ramgoolam , Rak-Kyeong Seong

We report on a broad new class of N=1 gauge theory dualities which relate the worldvolume gauge theories of D3 branes probing different orientifolds of the same Calabi-Yau singularity. In this paper, we focus on the simplest example of…

High Energy Physics - Theory · Physics 2013-10-03 Iñaki García-Etxebarria , Ben Heidenreich , Timm Wrase

We classify the first few brane tilings on a genus 2 Riemann surface and identify their toric Calabi-Yau moduli spaces. These brane tilings are extensions of tilings on the 2-torus, which represent one of the largest known classes of 4d N=1…

High Energy Physics - Theory · Physics 2013-10-08 Stefano Cremonesi , Amihay Hanany , Rak-Kyeong Seong

We develop computational tools for the tree-level superpotential of B-branes in Calabi-Yau orientifolds. Our method is based on a systematic implementation of the orientifold projection in the geometric approach of Aspinwall and Katz. In…

High Energy Physics - Theory · Physics 2010-03-26 Duiliu-Emanuel Diaconescu , Alberto Garcia-Raboso , Robert L. Karp , Kuver Sinha

The superconformal index of quiver gauge theories realized on D3-branes in toric Calabi-Yau cones is investigated. We use the AdS/CFT correspondence and study D3-branes wrapped on supersymmetric cycles. We focus on brane configurations in…

High Energy Physics - Theory · Physics 2020-05-06 Reona Arai , Shota Fujiwara , Yosuke Imamura , Tatsuya Mori

We study the Gepner model description of D-branes in Calabi-Yau manifolds with singular curves. From a geometrical point of view, the resolution of singularities leads to additional homology cycles around which branes can wrap. Using…

High Energy Physics - Theory · Physics 2010-11-19 Ilka Brunner , Volker Schomerus

A classification of D-branes in Type IIB Op^- orientifolds and orbifolds in terms of Real and equivariant KK-groups is given. We classify D-branes intersecting orientifold planes from which are recovered some special limits as the spectrum…

High Energy Physics - Theory · Physics 2009-01-06 H. Garcia-Compean , W. Herrera-Suarez , B. A. Itza-Ortiz , O. Loaiza-Brito

We study orientability issues of moduli spaces from gauge theories on Calabi-Yau manifolds. Our results generalize and strengthen those for Donaldson-Thomas theory on Calabi-Yau manifolds of dimensions 3 and 4. We also prove a corresponding…

Algebraic Geometry · Mathematics 2022-07-08 Yalong Cao , Naichung Conan Leung

We study string theory propagating on R^6 times K3 by constructing orientifolds of Type IIB string theory compactified on the T^4/Z_N orbifold limits of the K3 surface. This generalises the Z_2 case studied previously. The orientifold…

High Energy Physics - Theory · Physics 2014-11-18 Eric G. Gimon , Clifford V. Johnson

We apply a variety of machine learning methods to the study of Seiberg duality within 4d $\mathcal{N}=1$ quantum field theories arising on the worldvolumes of D3-branes probing toric Calabi-Yau 3-folds. Such theories admit an elegant…

High Energy Physics - Theory · Physics 2026-05-04 Pietro Capuozzo , Tancredi Schettini Gherardini , Benjamin Suzzoni

We study the dynamics of a single M2-brane probing toric Calabi-Yau four-fold singularity in the context of the recently proposed M-theory crystal model of AdS4/CFT3 dual pairs. We obtain an effective abelian gauge theory in which the…

High Energy Physics - Theory · Physics 2008-11-26 Seok Kim , Sangmin Lee , Sungjay Lee , Jaemo Park

An orientifold of Type-IIB theory on a $K3$ realized as a $Z_2$ orbifold is constructed which corresponds to F-theory compactification on a Calabi-Yau orbifold with Hodge numbers $(51, 3)$. The T-dual of this model is analogous to an…

High Energy Physics - Theory · Physics 2009-10-30 Atish Dabholkar , Jaemo Park

We study D1-branes on the fourfold $\C^4/(\Z_2\times\Z_2\times\Z_2)$, in the presence of discrete torsion. Discrete torsion is incorporated in the gauge theory of the D1-branes by considering a projective representation of the finite group…

High Energy Physics - Theory · Physics 2009-10-31 Subir Mukhopadhyay , Koushik Ray

Given a brane tiling, that is, a bipartite graph on a torus, we can associate with it a singular 3-Calabi-Yau variety. Using the brane tiling, we can also construct all crepant resolutions of the above variety. We give an explicit toric…

Algebraic Geometry · Mathematics 2009-09-11 Martin Bender , Sergey Mozgovoy