Parallelisable Heterotic Backgrounds
Jos\'e Figueroa-O'Farrill (Univ. of Edinburgh), Teruhiko Kawano,, Satoshi Yamaguchi (Univ. of Tokyo)
TL;DR
This paper classifies all simply-connected supersymmetric parallelisable backgrounds in heterotic supergravity, identifying examples with various levels of preserved supersymmetry based on parallelised Lie groups.
Contribution
It provides a complete classification of such backgrounds, linking them to parallelised Lie groups with bi-invariant Lorentzian metrics, and details the supersymmetry preserved.
Findings
Examples with 4, 8, 10, 12, 14, and 16 supersymmetries identified.
All backgrounds correspond to parallelised Lie groups with bi-invariant Lorentzian metrics.
Complete classification of simply-connected supersymmetric parallelisable heterotic backgrounds.
Abstract
We classify the simply-connected supersymmetric parallelisable backgrounds of heterotic supergravity. They are all given by parallelised Lie groups admitting a bi-invariant lorentzian metric. We find examples preserving 4, 8, 10, 12, 14 and 16 of the 16 supersymmetries.
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