Abstract
We present a deterministic way of finding contraction maps for candidate holographic entanglement entropy inequalities modulo choices due to actual degeneracy. We characterize its complexity and give an argument for the completeness of the contraction map proof method as a necessary and sufficient condition for the validity of an entropy inequality for holographic entanglement.
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Acknowledgments
We thank Sergio Hernandez-Cuenca for initial collaboration. We thank Scott Aaronson, Bartek Czech, Miles Cranmer and Jason Pollack for discussions during the writing of this paper. We would also like to thank Xi Dong, Gabriel Treviño, Michael Walter, and Wayne Weng for earlier discussions on similar ideas. N.B. is supported by the Computational Science Initiative at Brookhaven National Laboratory, Northeastern University, and by the U.S. Department of Energy QuantISED Quantum Telescope award. J.N. is supported by the graduate assistantship at Northeastern University.
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Bao, N., Naskar, J. Properties of the contraction map for holographic entanglement entropy inequalities. J. High Energ. Phys. 2024, 39 (2024). https://doi.org/10.1007/JHEP06(2024)039
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DOI: https://doi.org/10.1007/JHEP06(2024)039