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SL(2; R) Duality of the Noncommutative DBI Lagrangian

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Abstract

We study the action of the SL(2; R) group on the noncommutative DBI Lagrangian. The symmetry conditions of this theory under the above group will be obtained. These conditions determine the extra U(1) gauge field. By introducing some consistent relations we observe that the noncommutative (or ordinary) DBI Lagrangian and its SL(2; R) dual theory are dual of each other. Therefore, we find some SL(2; R) invariant equations. In this case the noncommutativity parameter, its T -dual and its SL(2; R) dual versions are expressed in terms of each other. Furthermore, we show that on the effective variables, T -duality and SL(2; R) duality do not commute. We also study the effects of the SL(2; R) group on the noncommutative Chern–Simons action.

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Authors and Affiliations

  1. Institute for Studies in Theoretical Physics and Mathematics (IPM), P.O. Box: 19395-5531, Tehran, Iran

    Davoud Kamani

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  1. Davoud Kamani
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Correspondence to Davoud Kamani.

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Kamani, D. SL(2; R) Duality of the Noncommutative DBI Lagrangian. Int J Theor Phys 44, 21–34 (2005). https://doi.org/10.1007/s10773-005-1431-4

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  • DOI: https://doi.org/10.1007/s10773-005-1431-4

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