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Duality and Non-Commutative Gauge Theory

Ori J. Ganor·Govindan Rajesh·Savdeep Sethi
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Abstract

We study the generalization of S-duality to non-commutative gauge theories. For rank one theories, we obtain the leading terms of the dual theory by Legendre transforming the Lagrangian of the non-commutative theory expressed in terms of a commutative gauge field. The dual description is weakly coupled when the original theory is strongly coupled if we appropriately scale the non-commutativity parameter. However, the dual theory appears to be non-commutative in space-time when the original theory is non-commutative in space. This suggests that locality in time for non-commutative theories is an artifact of perturbation theory.

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Ori J. Ganor, Govindan Rajesh, Savdeep Sethi. 2000-08-18. Duality and Non-Commutative Gauge Theory. https://doi.org/10.1103/physrevd.62.125008

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