Holographic Correlators of Boundary/Crosscap CFTs in Two Dimensions - INSPIRE

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Holographic Correlators of Boundary/Crosscap CFTs in Two Dimensions

Yun-Ze Li
(
- Jilin U.
)
,
Yunfei Xie
(
- Jilin U.
)
,
Song He
(
- Jilin U. and
- Ningbo U. and
- Potsdam, Max Planck Inst.
)

Jan 30, 2025

51 pages

e-Print:

2501.18386 [hep-th]

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Abstract: (arXiv)

This work explores holographic correlators within the frameworks of two-dimensional Boundary Conformal Field Theory (BCFT) and Crosscap Conformal Field Theory (XCFT). Utilizing the AdS/CFT correspondence, we compute stress tensor correlators in BCFT, considering both tensionless and tensionful end-of-the-world (EOW) brane scenarios. We derive recurrence relations for two-point and three-point correlators and examine the impact of non-zero brane tension on correlators. Extending these results, we investigate the holographic duals of XCFTs, presenting explicit scalar and stress tensor correlator computations on projective geometries such as

\mathbb{RP}^2

. Additionally, we analyze stress tensor correlators at a finite cutoff, uncovering deformations to one-point and two-point functions induced by the cutoff. Our findings provide novel insights into the holographic structures of BCFT and XCFT while laying the groundwork for future research into higher-dimensional extensions.

Note:

51 pages, 2 figures

References(112)

Figures(2)

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