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The heterotic string and the geometry of the supersymmetric Einstein-Yang-Mills background

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Abstract

It is shown that the Wess-Zumino term of a heterotic superstring in aN = 1,D = 10 supergravity background can be given in terms of the torsion of the background in both versions (IA and IB) of theN = 1,D = 10 supergravity theory. The gauge degrees of freedom of the background are included according to the ideas of Kaluza and Klein. Explicit expressions for the vielbein, connection, torsion, and curvature of a space with 506 bosonic and 16 fermionic coordinates are given.

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Kuusk, P. The heterotic string and the geometry of the supersymmetric Einstein-Yang-Mills background. Gen Relat Gravit 21, 185–200 (1989). https://doi.org/10.1007/BF00761087

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