Non-Orientable AdS$_3$ and its Holography
High Energy Physics - Theory
2025-03-05 v3
Abstract
Known solutions to three-dimensional gravity with negative cosmological constant so far consist of either AdS or its orbifolds (or orientifolds). We geometrically derive a novel non-orientable AdS spacetime that is an orientifold of a spinor double cover of AdS, unlike existing solutions. This spacetime's universal cover contains a lightlike instead of spacelike compact direction. We show that its gravity theory possesses a simpler excited state spectrum and exhibits a Chern-Simons/Wess-Zumino-Witt (CS/WZW) correspondence between only one independent CS term and boundary chiral WZW term. This leads us to suggest that CS theory is able to more fully describe non-orientable pure gravity theory compared to orientable gravity.
Cite
@article{arxiv.2404.12546,
title = {Non-Orientable AdS$_3$ and its Holography},
author = {Shivesh Pathak and Lucas Kocia Kovalsky},
journal= {arXiv preprint arXiv:2404.12546},
year = {2025}
}