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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 elucidate how integrable lattice models described by Costello's 4d Chern-Simons theory can be realized via a stack of D4-branes ending on an NS5-brane in type IIA string theory, with D0-branes on the D4-brane worldvolume sourcing a…

High Energy Physics - Theory · Physics 2020-07-01 Meer Ashwinkumar , Meng-Chwan Tan , Qin Zhao

We construct D-brane states on an asymmetric orbifold of type IIA on a four-torus, which is modded out by T-duality. We find explicit boundary states charged under the twisted sector gauge fields. Unlike other cases, the boundary states…

High Energy Physics - Theory · Physics 2010-11-19 Ilka Brunner , Arvind Rajaraman , Moshe Rozali

We generalize the previously established (0,2) triality of exactly solvable models, Landau-Ginzburg theories and Calabi-Yau manifolds to a number of different classes of (0,2) compactifications derived from (2,2) vacua. For the resulting…

High Energy Physics - Theory · Physics 2009-10-30 Ralph Blumenhagen , Rolf Schimmrigk , Andreas Wisskirchen

We consider Type II string theories on ${\bf T^n}/{{\bf Z_2}^m}$ Joyce orbifolds. This class contains orbifolds which can be desingularised to give manifolds of $G_2$ $({\bf n}$$=$$7)$ and $Spin(7)$ holonomy $({\bf n}$$=$$8)$. In the $G_2$…

High Energy Physics - Theory · Physics 2009-10-30 B. S. Acharya

Two-dimensional $\mathcal{N}=(0,4)$ supersymmetric quiver gauge theories are realized as D3-brane box configurations (two dimensional intervals) which are bounded by NS5-branes and intersect with D5-branes. The periodic brane configuration…

High Energy Physics - Theory · Physics 2019-03-08 Amihay Hanany , Tadashi Okazaki

We finalize the study of collapsing D-branes in one-parameter models by completing the analysis of the associated hypergeometric hierarchy. This brings further evidence that the phenomenon of collapsing 6-branes at the mirror of the…

High Energy Physics - Theory · Physics 2009-10-31 C. I. Lazaroiu

We construct a special D4-D2-brane configuration on the K3 fibered Calabi-Yau threefolds: canonical D4-branes on K3 fiberations and another D2-branes on its base $\mathbb{P}_1$, by using the ordinary nonlinear sigma model in two dimensions.…

Mathematical Physics · Physics 2022-10-18 Fei Wang

Using D2-brane probes, we study various properties of M-theory on singular, non-compact manifolds of G_2 and Spin(7) holonomy. We derive mirror pairs of N=1 supersymmetric three-dimensional gauge theories, and apply this technique to…

High Energy Physics - Theory · Physics 2009-11-07 Sergei Gukov , David Tong

If $X$ and $Y$ are a mirror pair of Calabi--Yau threefolds, mirror symmetry should extend to an isomorphism between the type IIA string theory compactified on $X$ and the type IIB string theory compactified on $Y$, with all nonperturbative…

High Energy Physics - Theory · Physics 2009-10-28 David R. Morrison

We study geometries for the NS5-, the KK5- and the $5^2_2$-branes of codimension two in type II and heterotic string theories. The geometries are classified by monodromies that each brane has. They are the $B$-, the general coordinate and…

High Energy Physics - Theory · Physics 2024-01-05 Tetsuji Kimura , Shin Sasaki , Kenta Shiozawa

In this work we consider the relation between finite isometries of the internal space and symmetries of the transverse field theory in Geometric Engineering. On top of the established relation between branes wrapping torsional cycles and…

High Energy Physics - Theory · Physics 2025-07-04 Mario De Marco , Shani Nadir Meynet

We study the chiral ring of four-dimensional superconformal field theories obtained by wrapping M5-branes on a complex curve inside a Calabi-Yau three-fold. We propose a field theoretic construction of all the theories found by Bah, Beem,…

High Energy Physics - Theory · Physics 2017-04-19 Marco Fazzi , Simone Giacomelli

Fibrewise T-duality (Fourier-Mukai transform) for D-branes on an elliptic Calabi-Yau three-fold $X$ is seen to have an expected adiabatic form for its induced cohomology operation only when an appropriately twisted operation resp. twisted…

Algebraic Geometry · Mathematics 2007-05-23 Bjorn Andreas , Gottfried Curio , Daniel Hernandez Ruiperez , Shing-Tung Yau

Five-branes lead in four dimensions to massless N=1 supermultiplets if M-theory is compactified on S1/Z2 x (a Calabi-Yau threefold). One of them describes the modulus associated with the position of the five-brane along the circle S1. We…

High Energy Physics - Theory · Physics 2009-10-31 Jean-Pierre Derendinger , Roger Sauser

We investigate (2+1)-dimensional quiver Chern-Simons theories that arise from the study of M2-branes probing toric Calabi-Yau 4-folds. These theories can be elegantly described using brane tilings. We present several theories that admit a…

High Energy Physics - Theory · Physics 2009-10-28 John Davey , Amihay Hanany , Noppadol Mekareeya , Giuseppe Torri

We reconsider the study of the geometric transitions and brane/flux dualities in various dimensions. We first give toric interpretations of the topology changing transitions in the Calabi-Yau conifold and the $Spin(7)$ manifold. The latter,…

High Energy Physics - Theory · Physics 2014-11-18 Adil Belhaj

Three-dimensional N=2 superconformal field theories are constructed by compactifying M5-branes on three-manifolds. In the infrared the branes recombine, and the physics is captured by a single M5-brane on a branched cover of the original…

High Energy Physics - Theory · Physics 2012-11-16 Clay Cordova , Sam Espahbodi , Babak Haghighat , Ashwin Rastogi , Cumrun Vafa

Modifications to the singularity structure of D3-branes that result from turning on a flux for the R-R and NS-NS 3-forms (fractional D3-branes) provide important gravity duals of four-dimensional N=1 super-Yang-Mills theories. We construct…

High Energy Physics - Theory · Physics 2009-09-17 M. Cvetic , H. Lu , C. N. Pope

A generalization of the Maldacena conjecture asserts that Type IIB string theory on $\S^5/\Z_3$ is equivalent to a certain supersymmetric $SU(N)^3$ gauge theory with bifundamental matter. To test this assertion, we analyze the wrapped…

High Energy Physics - Theory · Physics 2010-04-07 Sergei Gukov , Mukund Rangamani , Edward Witten