Relative Entropy and Torsion Coupling

6th IF-YITP GR+HEP+Cosmo International Symposium

Lin, Feng-Li^1 ; Ning, Bo^2

Department of Physics, National Taiwan Normal University, Taipei

11677, Taiwan^1

Center for Theoretical Physics, College of Physical Science and Technology, Sichuan University, Chengdu

610064, China^2

关键词: Axial currents;    Entanglement entropy;    Equation of state;    Gravity theory;    Monotonicity;    Quantum Information;    Relative entropy;    Torsion coupling;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/883/1/012016/pdf
DOI  :  10.1088/1742-6596/883/1/012016

来源: IOP

【 摘 要 】

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.