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arXiv · 1004.1348

IIA/IIB Supergravity and Ten-forms

E. A. Bergshoeff·J. Hartong·P. S. Howe·T. Ortin·F. Riccioni
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Abstract

We perform a careful investigation of which p-form fields can be introduced consistently with the supersymmetry algebra of IIA and/or IIB ten-dimensional supergravity. In particular the ten-forms, also known as "top-forms", require a careful analysis since in this case, as we will show, closure of the supersymmetry algebra at the linear level does not imply closure at the non-linear level. Consequently, some of the (IIA and IIB) ten-form potentials introduced in earlier work of some of us are discarded. At the same time we show that new ten-form potentials, consistent with the full non-linear supersymmetry algebra can be introduced. We give a superspace explanation of our work. All of our results are precisely in line with the predictions of the E(11) algebra.

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E. A. Bergshoeff, J. Hartong, P. S. Howe, T. Ortin, F. Riccioni. 2010-04-08. IIA/IIB Supergravity and Ten-forms. https://doi.org/10.1007/jhep05(2010)061

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