Aspects of Noncommutative Scalar/Tensor Duality
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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 $θ$. 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 $θ$ is also derived.
7 pages, typos corrected, a footnote removed and a sentence added in the text
7 pages, typos corrected, a footnote removed and a sentence added in the text