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Abelian duality, walls and boundary conditions in diverse dimensions

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Anton Kapustina and Mikhail Tikhonovb

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We systematically apply the formalism of duality walls to study the action of duality transformations on boundary conditions and local and nonlocal operators in two, three, and four-dimensional free field theories. In particular, we construct a large class of D-branes for two-dimensional sigma-models with toroidal targets and determine the action of the T-duality group on it. It is manifest in this formalism that T-duality transformations on D-branes are given by a differential-geometric version of the Fourier-Mukai transform.

Keywords

Duality in Gauge Field Theories

Chern-Simons Theories

D-branes

 

E-print Number: 0904.0840

Cited: by |

Refers: to

PACS

11.25.Uv D branes

11.25.Tq Gauge/string duality

Subjects

Particle physics and field theory

Dates

Issue 11 (November 2009)

Received 21 September 2009, accepted for publication 14 October 2009

Published 4 November 2009



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