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Celestial CFT from $H_3^+$-WZW Model

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arxiv 2404.12049 v2 pith:W3GHHY2Y submitted 2024-04-18 hep-th gr-qc

classification hep-thgr-qc
keywords dualcelestialholographymodelamplitudesasymptoticallybeenbulk
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abstract

Recently, there has been a growing interest in celestial holography, which is holography in asymptotically flat spacetimes. This holographic duality exhibits numerous mysterious and fruitful features, particularly on the dual CFT side. In this paper, we present the candidate of dual CFT for Minkowski spacetime extracted from $SL(2,\mathbb{C})/SU(2)\cong H^+_3$ Wess-Zumino-Witten (WZW) model, the simplest non-compact CFT. We demonstrate that it reproduces the well-known principal series and correlation functions dual to the bulk scattering amplitudes.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Worldsheet CFT$_2$ and Celestial CFT$_2$ : An AdS$_3$-CFT$_2$ perspective

    hep-th 2025-06 conditional novelty 6.0 of 10

    A near-boundary scaling limit of AdS/CFT is proposed to produce celestial CFTs, and the long-string sector of string theory on AdS3 is identified as a Lorentz-only celestial CFT2.

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