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  of the authors.
|Journal||Journal of Physics: Conference Series|
|Publication status||Published - 2017 Aug 24|
|Event||6th IF+YITP International Symposium on Superstring Theory, the Quantum Theory of Fields, Gravity, Cosmology, and Related Topics - Phitsanulok, Thailand|
Duration: 2016 Aug 3 → 2016 Aug 5
ASJC Scopus subject areas
- Physics and Astronomy(all)