TY - JOUR
T1 - Relative Entropy and Torsion Coupling
AU - Lin, Feng Li
AU - Ning, Bo
N1 - Funding Information:
FLL would like to thank APCTP for the travel support to attend and present this work in IF-YITP GR+HEP+Cosmo International Symposium VI held at IF, Naresuan University, Thailand, 3-5 August, 2016. This work is supported by Taiwan Ministry of Science and Technology through Grant No. 103-2112-M-003 -001 -MY3 and 103-2811-M-003 -024.
Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
PY - 2017/8/24
Y1 - 2017/8/24
N2 - 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.
AB - 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.
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U2 - 10.1088/1742-6596/883/1/012016
DO - 10.1088/1742-6596/883/1/012016
M3 - Conference article
AN - SCOPUS:85029486455
VL - 883
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 1
M1 - 012016
T2 - 6th IF+YITP International Symposium on Superstring Theory, the Quantum Theory of Fields, Gravity, Cosmology, and Related Topics
Y2 - 3 August 2016 through 5 August 2016
ER -