Aspects of Noncommutative Scalar/Tensor Duality

Details Aspects of Noncommutative Scalar/Tensor Duality Aspects of Noncommutative Scalar/Tensor Duality

2008-01-14

arxiv.org/abs/0801.2040v3

Phys.Rev.D77:085010,2008

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, typos corrected, a footnote removed and a sentence added in the text

Scientific paper

10.1103/PhysRevD.77.085010

We study the noncommutative massless Kalb-Ramond gauge field coupled to a dynamical U(1) gauge field in the adjoint representation together with a compensating vector field. We derive the Seiberg-Witten map and obtain the corresponding mapped action to first order in $\theta$. The (emergent) gravity structure found in other situations is not present here. The off-shell dual scalar theory is derived and it does not coincide with the Seiberg-Witten mapped scalar theory. Dispersion relations are also discussed. The p-form generalization of the Seiberg-Witten map to order $\theta $ is also derived.

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