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Engineering quantum field theories in String Theory in terms of branes is a powerful approach for understanding their dynamics. We review recent progress in the realization of $2d$ $\mathcal{N}=(0,2)$ gauge theories in terms of branes. We…

High Energy Physics - Theory · Physics 2022-01-27 Sebastián Franco

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 show that discrete torsion is implemented in a D-brane world-volume theory by using a projective representation of the orbifold point group. We study the example of C^3/Z_2 x Z_2 and show that the resolution of singularities agrees with…

High Energy Physics - Theory · Physics 2007-05-23 Michael R. Douglas

We study D-branes on a three complex dimensional nonabelian orbifold ${\bf C}^3/\Gamma$ with $\Gamma$ a finite subgroup of SU(3). We present general formulae necessary to obtain quiver diagrams which represent the gauge group and the…

High Energy Physics - Theory · Physics 2010-02-03 Tomomi Muto

We present a new categorical classification framework for D-brane charges on noncommutative manifolds using methods of bivariant K-theory. We describe several applications including an explicit formula for D-brane charge in cyclic homology,…

High Energy Physics - Theory · Physics 2008-11-26 J. Brodzki , V. Mathai , J. Rosenberg , R. J. Szabo

The observable universe could be a 1+3-surface (the "brane") embedded in a 1+3+\textit{d}-dimensional spacetime (the "bulk"), with Standard Model particles and fields trapped on the brane while gravity is free to access the bulk. At least…

High Energy Physics - Theory · Physics 2015-05-18 Roy Maartens , Kazuya Koyama

We discuss dual formulations of D-brane intersections. The duality is between world volume field theories of different dimensionalities which both describe the same D-brane configuration but are valid in complementary regions of parameter…

High Energy Physics - Theory · Physics 2016-09-06 Neil R. Constable , Robert C. Myers , Oyvind Tafjord

We evaluate bulk distribution of energies, pressures and various D-brane/F-string charges generated by nontrivial matrix configurations in nonabelian D-brane effective field theories, using supergravity source density formulas derived…

High Energy Physics - Theory · Physics 2009-11-10 Koji Hashimoto

It is shown how two-dimensional states corresponding to D-branes arise in orbifolds of topologically massive gauge and gravity theories. Brane vertex operators naturally appear in induced worldsheet actions when the three-dimensional gauge…

High Energy Physics - Theory · Physics 2010-04-05 P. Castelo Ferreira , I. I. Kogan , R. J. Szabo

D-branes are string theory solitons defined by boundary conditions on open strings that end on them. They play an important role in the non-perturbative dynamics of string theory and have found a wide range of applications. These lectures…

High Energy Physics - Theory · Physics 2009-10-30 Larus Thorlacius

This is an introduction to the physics of D-branes. Topics covered include Polchinski's original calculation, a critical assessment of some duality checks, D-brane scattering, and effective worldvolume actions.

High Energy Physics - Theory · Physics 2007-05-23 Constantin P. Bachas

In this highly speculative note we conjecture that it may be possible to understand features of coincident D-branes, such as the appearance of enhanced non-abelian gauge symmetry, in a purely geometric fashion, using a form of geometry…

High Energy Physics - Theory · Physics 2007-05-23 Tomas Gomez , Eric R. Sharpe

We "solve" the Freed-Witten anomaly equation, i.e., we find a geometrical classification of the B-field and A-field configurations in the presence of D-branes that are anomaly-free. The mathematical setting being provided by the geometry of…

High Energy Physics - Theory · Physics 2008-12-25 Loriano Bonora , Fabio Ferrari Ruffino , Raffaele Savelli

In this article, we study how the Grothendieck group of coherent sheaves can be used to describe D-branes. We show how global bound state construction in topological $K$-theory can be adapted to our context, showing that D-branes wrapping a…

High Energy Physics - Theory · Physics 2007-05-23 Eunsang Kim

We study two-dimensional SQED viewed as the world-volume theory of a D-string in the presence of D5-branes with non-zero background fields that induce attractive forces between the branes. In various approximations, the low-energy dynamics…

High Energy Physics - Theory · Physics 2009-10-31 Neil. D. Lambert , David Tong

We study type IIA configurations of D4 branes and three kinds of NS fivebranes. The D4 brane world-volume has finite extent in three directions, giving rise to a two-dimensional low-energy field theory. The models have generically $(0,2)$…

High Energy Physics - Theory · Physics 2009-10-09 H. Garcia-Compean , A. M. Uranga

This is an exposition of recent progress in the categorical approach to D-brane physics. I discuss the physical underpinnings of the appearance of homotopy categories and triangulated categories of D-branes from a string field theoretic…

High Energy Physics - Theory · Physics 2009-11-10 C. I. Lazaroiu

In this note we explain how world-volume geometries of D-branes can be reconstructed within the microscopic framework where D-branes are described through boundary conformal field theory. We extract the (non-commutative) world-volume…

High Energy Physics - Theory · Physics 2009-10-31 Volker Schomerus

We examine the system where a string stretches between pair of D-branes, and study the bending of the D-brane caused by the tension of the string. If the distance between the pair of D-branes is sent to infinity, the tension of the string…

High Energy Physics - Theory · Physics 2016-08-25 Akikazu Hashimoto

We review the concept of a graded bundle as a natural generalisation of a vector bundle. Such geometries are particularly nice examples of more general graded manifolds. With hindsight there are many examples of graded bundles that appear…

Differential Geometry · Mathematics 2016-05-12 Andrew J. Bruce , K. Grabowska , J. Grabowski