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arXiv · hep-th/0001105

T-duality of non-commutative gauge theories

Yosuke Imamura
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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.

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Yosuke Imamura. 2000-01-26. T-duality of non-commutative gauge theories. https://doi.org/10.1088/1126-6708%2F2000%2F01%2F039

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