Non-orientable AdS3 and its holography

被引:1
作者
Pathak, Shivesh [1 ]
Kovalsky, Lucas Kocia [1 ]
机构
[1] Sandia Natl Labs, Quantum Algorithms & Applicat Collaboratory, 1515 Eubank Ave, Albuquerque, NM 87123 USA
关键词
AdS-CFT Correspondence; Classical Theories of Gravity; Discrete Symmetries; Space-Time Symmetries; DE-SITTER SPACE; FIELD-THEORIES; BLACK-HOLE; GRAVITY;
D O I
10.1007/JHEP06(2025)141
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Known solutions to three-dimensional gravity with negative cosmological constant consist of either AdS3 or its orbifolds (or orientifolds). We geometrically derive a novel non-orientable AdS3 spacetime that is an orientifold of a spinor double cover of AdS3. This spacetime's universal cover contains a lightlike compact direction instead of AdS3'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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页数:24
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