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The lift of type IIA supergravity with D6 sources: M-theory with torsion

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Abstract

This paper is concerned with an extension of the well known Kaluza-Klein mechanism. As the standard ansatz for Kaluza-Klein reduction implies the existence of a gauge potential associated with the KK field strength, it follows immediately that this field strength satisfies its Bianchi identity. Hence, the standard KK formalism breaks down in the presence of a violated Bianchi identity. This occurs for example in the context of D6 sources.

We will investigate and partially solve this problem in the context of the type IIA/M-theory duality. Our discussion is motivated by the construction of gauge/string duals with backreacting flavor branes using D6-branes, which appear in M-theory as KK-monopoles.

We are able to derive source-modified equations of motion for the eleven-dimensional theory, and are subsequently able to obtain the source-modified type IIA equations by direct dimensional reduction.

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Authors and Affiliations

  1. Department of Physics, Swansea University, Swansea, SA2 8PP, U.K.

    Jérôme Gaillard & Johannes Schmude

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  1. Jérôme Gaillard
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  2. Johannes Schmude
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Correspondence to Jérôme Gaillard.

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ArXiv ePrint: 0908.0305

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Gaillard, J., Schmude, J. The lift of type IIA supergravity with D6 sources: M-theory with torsion. J. High Energ. Phys. 2010, 32 (2010). https://doi.org/10.1007/JHEP02(2010)032

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