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Scalar potential for the gauged Heisenberg algebra and a non-polynomial antisymmetric tensor theory

Riccardo D'Auria·Sergio Ferrara·Mario Trigiante·Silvia Vaula
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Abstract

We study some issues related to the effective theory of Calabi-Yau compactifications with fluxes in Type II theories. At first the scalar potential for a generic electric abelian gauging of the Heisenberg algebra, underlying all possible gaugings of RR isometries, is presented and shown to exhibit, in some circumstances, a "dual'' no-scale structure under the interchange of hypermultiplets and vector multiplets. Subsequently a new setting of such theories, when all RR scalars are dualized into antisymmetric tensors, is discussed. This formulation falls in the class of non-polynomial tensor theories considered long ago by Freedman and Townsend and it may be relevant for the introduction of both electric and magnetic charges.

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Riccardo D'Auria, Sergio Ferrara, Mario Trigiante, Silvia Vaula. 2004-12-07. Scalar potential for the gauged Heisenberg algebra and a non-polynomial antisymmetric tensor theory. https://doi.org/10.1016/j.physletb.2005.01.083

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