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Correlation functions and quantum measures of descendant states

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Brehm,  Enrico M.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Broccoli,  Matteo
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Brehm, E. M., & Broccoli, M. (2021). Correlation functions and quantum measures of descendant states. Journal of High Energy Physics, 2021(04): 227. doi:10.1007/JHEP04(2021)227.


Cite as: https://hdl.handle.net/21.11116/0000-0007-AE9B-7
Abstract
We discuss a computer implementation of a recursive formula to calculate
correlation functions of descendant states in two-dimensional CFT. This allows
us to obtain any N-point function of vacuum descendants, or to express the
correlator as a differential operator acting on the respective primary
correlator in case of non-vacuum descendants. With this tool at hand, we then
study some entanglement and distinguishability measures between descendant
states, namely the Renyi entropy, trace square distance and sandwiched Renyi
divergence. Our results provide a test of the conjectured Renyi QNEC and new
challenges for the holographic description of descendant states at large c.