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DOE OSTI · 2584025

Non-orientable AdS 3 and its holography

Pathak, Shivesh [Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)] (ORCID:0000000172798195)·Kovalsky, Lucas Kocia [Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)] (ORCID:0000000227740565)
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Abstract

Known solutions to three-dimensional gravity with negative cosmological constant consist of either AdS 3 or its orbifolds (or orientifolds). We geometrically derive a novel non-orientable AdS 3 spacetime that is an orientifold of a spinor double cover of AdS 3 . This spacetime’s universal cover contains a lightlike compact direction instead of AdS 3 ’s spacelike compact direction. We show that its gravity theory possesses a simpler excited state spectrum and a Chern-Simons/Wess-Zumino-Witt (CS/WZW) correspondence between a single 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.

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Pathak, Shivesh [Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)] (ORCID:0000000172798195), Kovalsky, Lucas Kocia [Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)] (ORCID:0000000227740565). 2025-06-13. Non-orientable AdS 3 and its holography. https://doi.org/10.1007/jhep06(2025)141

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