Holographic Correlators from Thermal Bootstrap
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912598354558976 |
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| author | Burić, Ilija Gusev, Ivan Parnachev, Andrei |
| author_facet | Burić, Ilija Gusev, Ivan Parnachev, Andrei |
| contents | Holographic thermal two-point functions can be analyzed using the operator product expansion which contains contributions from both multi-stress-tensor and double-trace operators. The former can be computed by analyzing the bulk equation of motion in a near-boundary expansion, but the latter has remained elusive-in practice, one resorts to solving a partial differential equation with limited accuracy. We show that imposing the Euclidean periodicity condition on the holographic correlator (also known as the KMS condition or thermal bootstrap), followed by Padé-Borel resummation, provides an efficient method for computing double-trace thermal coefficients. The resulting series converges rapidly and yields numerical values in excellent agreement with those obtained from solving the partial differential equation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_08373 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Holographic Correlators from Thermal Bootstrap Burić, Ilija Gusev, Ivan Parnachev, Andrei High Energy Physics - Theory Holographic thermal two-point functions can be analyzed using the operator product expansion which contains contributions from both multi-stress-tensor and double-trace operators. The former can be computed by analyzing the bulk equation of motion in a near-boundary expansion, but the latter has remained elusive-in practice, one resorts to solving a partial differential equation with limited accuracy. We show that imposing the Euclidean periodicity condition on the holographic correlator (also known as the KMS condition or thermal bootstrap), followed by Padé-Borel resummation, provides an efficient method for computing double-trace thermal coefficients. The resulting series converges rapidly and yields numerical values in excellent agreement with those obtained from solving the partial differential equation. |
| title | Holographic Correlators from Thermal Bootstrap |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.08373 |