T-duality of non-commutative gauge theories

Details T-duality of non-commutative gauge theories T-duality of non-commutative gauge theories

2000-01-18

arxiv.org/abs/hep-th/0001105v2

JHEP 0001 (2000) 039

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 4 figures, LaTeX, a reference added

Scientific paper

10.1088/1126-6708/2000/01/039

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.

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