Note on holographic torus stress tensor correlators in AdS gravity
May 2, 2024
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Abstract: (Springer)
In the AdS/CFT framework, the Euclidean BTZ black hole corresponds to the dominant high-temperature phase of its dual field theory. We initially employ perturbative methods to solve the Einstein equations as boundary value problems, providing correlators for the energy-momentum tensor operator at low points. Utilizing operator equations established in our previous work, we further compute arbitrary high-point correlators for the energy-momentum tensor operator in the high-temperature phase and recursive relations for these high-point functions. Concurrently, we employ the Chern-Simons formalism to derive consistent results. Further, using the cut-off AdS/-deformed CFT duality, we calculate the energy-momentum tensor correlators, contributing to the comprehensive understanding of the system’s dynamics. Finally, stress tensor correlators enable us to ascertain the corresponding KdV operator correlators at low-temperature.Note:
- 46 pages
- AdS-CFT Correspondence
- Field Theories in Lower Dimensions
- Gauge-Gravity Correspondence
- Conformal and W Symmetry
- tensor: energy-momentum
- field theory: conformal
- operator: tensor
- black hole: BTZ
- correlation function
- anti-de Sitter
References(71)
Figures(0)
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