T-duality of non-commutative gauge theories

Abstract

Via T-duality a theory of open strings on a D1-brane wrapped along a cycle of slanted torus is described by a U(1) gauge theory on a D2-brane in the B-field background. It is also known that there is another dual description of the D1-brane configuration by a non-commutative gauge theory on a D2-brane. Therefore, these two gauge theories on D2-branes are equivalent. Recently, the existence of a continuous set of equivalent gauge theories including these two was suggested. We give a dual D1-brane configuration for each theory in this set, and show that the relation among parameters for equivalent gauge theories can be easily reproduced by rotation of the D1-brane configuration. We also discuss a relation between this duality and Morita equivalence.

11 pages, 4 figures, LaTeX, a reference added

References in corpus (3)

• Morita equivalence and T-duality (or B versus $\Theta$)
• Noncommutative open strings from Dirac quantization
• A note on bosonic open strings in constant B field

Cited by in corpus (7)

• Evidence for Winding States in Noncommutative Quantum Field Theory
• T-duality and Noncommutative DBI Action
• Open Superstring and Noncommutative Geometry
• Homological mirror symmetry on noncommutative two-tori
• Kronecker foliation, D1-branes and Morita equivalence of Noncommutative two-tori
• T-duality and Actions for Non-Commutative D-Branes
• T-duality for open strings in the presence of backgrounds and noncommutativity