Consistent Warped \mathbb R× T^1,1 Reduction of Heterotic Supergravity

2025/01/08 by Ma, Liang, Lu, H.
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2501.04771

Abstract

We find a curious duality between the bosonic sector of heterotic supergravity and the noncritical bosonic string with conformal anomaly. This allows us to map the Mink₄× S³× S³ vacuum of the bosonic string to a new warped \mathbb R× (T^1,1×Mink₄) vacuum of the heterotic theory, which turns out to be supersymmetric, preserving 1/4 of the supersymmetry. We perform consistent dimensional reduction of the heterotic theory on the warped \mathbb R× T^1,1 internal space and obtain \cal N=1, D=4 supergravity, with one complex scalar multiplet and SU(2)× SU(2) Yang-Mills multiplets, where the gauge symmetry is originated from the isometry group of T^1,1.

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