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Kac-Moody Symmetries of Ten-dimensional Non-maximal Supergravity Theories

Igor Schnakenburg·Peter West
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Abstract

A description of the bosonic sector of ten-dimensional N=1 supergravity as a non-linear realisation is given. We show that if a suitable extension of this theory were invariant under a Kac-Moody algebra, then this algebra would have to contain a rank eleven Kac-Moody algebra, that can be identified to be a particular real form of very-extended D_8. We also describe the extension of N=1 supergravity coupled to an abelian vector gauge field as a non-linear realisation, and find the Kac-Moody algebra governing the symmetries of this theory to be very-extended B_8. Finally, we discuss the related points for the N=1 supergravity coupled to an arbitrary number of abelian vector gauge fields.

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Igor Schnakenburg, Peter West. 2004-01-26. Kac-Moody Symmetries of Ten-dimensional Non-maximal Supergravity Theories. https://doi.org/10.1088/1126-6708%2F2004%2F05%2F019

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