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<p>Known solutions to three-dimensional gravity with negative cosmological constant consist of either AdS<sub>3</sub> or its orbifolds (or orientifolds). We geometrically derive a novel non-orientable AdS<sub>3</sub> spacetime that is an orientifold of a spinor double cover of AdS<sub>3</sub>. This spacetime’s universal cover contains a lightlike compact direction instead of AdS<sub>3</sub>’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.</p>

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Non-orientable AdS3 and its holography

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月13日

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  • Shivesh Pathak,
  • Lucas Kocia Kovalsky

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.