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arXiv · 2603.04120

Heterotic horizons and AdS$_3$ backgrounds that preserve 6 supersymmetries

Georgios Papadopoulos
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Abstract

We prove, under suitable global assumptions, that the only heterotic horizons with closed 3-form field strength that preserve strictly 6 supersymmetries have spatial horizon section diffeomorphic to either $SU(3)$ or $S^2\times S^3\times SO(3)$, up to identifications with the action of a discrete group. Under similar assumptions, which include the compactness of the transverse space, we demonstrate that there are no heterotic AdS$_3$ solutions that preserve 6 supersymmetries. The proof is based on a topological argument. We also re-examine the conditions required for the existence of such backgrounds that preserve 4 supersymmetries focusing on those that admit an additional $\oplus^2\mathfrak{u}(1)$ symmetry. We provide some additional explanation for the existence of solutions and point out the similarities that these conditions have with those that have recently emerged in the classification of compact strong 6-dimensional Calabi-Yau manifolds with torsion.

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Georgios Papadopoulos. 2026-03-04. Heterotic horizons and AdS$_3$ backgrounds that preserve 6 supersymmetries. https://arxiv.org/abs/2603.04120

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