Relative Entropy and Torsion Coupling

Feng Li Lin, Bo Ning

Research output: Contribution to journalConference article

Abstract

Based on the the geometric realization of entanglement entropy via Ryu-Takayanagi formula, in this work we evaluate the relative entropy for the holographic deformed CFT dual to the torsion gravity coupled to the fermions of nonzero vev in the Einstein-Cartan formulation. We find that the positivity and monotonicity of the relative entropy imposes constraint on the strength of axial-current coupling, fermion mass and equation of state. Our work is the first example to demonstrate the nontrivial constraint on the bulk gravity theory from the quantum information inequalities. Especially, this constraint is beyond the symmetry action principle and should be understood as the unitarity constraint. This talk is based on the work [1] of the authors.

Original languageEnglish
Article number012016
JournalJournal of Physics: Conference Series
Volume883
Issue number1
DOIs
Publication statusPublished - 2017 Aug 24
Event6th IF+YITP International Symposium on Superstring Theory, the Quantum Theory of Fields, Gravity, Cosmology, and Related Topics - Phitsanulok, Thailand
Duration: 2016 Aug 32016 Aug 5

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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