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2015

Anomalies and Entanglement Entropy

Nishioka, Tatsuma, Yarom, Amos

Understand

We initiate a systematic study of entanglement and Renyi entropies in the presence of gauge and gravitational anomalies in even-dimensional quantum field theories.

We argue that the mixed and gravitational anomalies are sensitive to boosts and obtain a closed form expression for their behavior under such transformations.
Explicit constructions exhibiting the dependence of entanglement entropy on boosts is provided for theories on spacetimes with non-trivial magnetic fluxes and (or) non-vanishing Pontryagin classes.

Built on

W. Massey et. al
1962
Earlier work this paper cites.
M. F. Atiyah, V. K. Patodi, and I. M. Singer, Spectral asymmetry and riemannian geometry. i
1975
Earlier work this paper cites.
M. F. Atiyah, V. K. Patodi, and I. M. Singer, Spectral asymmetry and riemannian geometry. ii
1975
Earlier work this paper cites.
M. F. Atiyah, V. K. Patodi, and I. M. Singer, Spectral asymmetry and riemannian geometry. iii
1976
Earlier work this paper cites.
W. A. Bardeen and B. Zumino, Consistent and Covariant Anomalies in Gauge and Gravitational Theories
1984
Earlier work this paper cites.
J. Callan, Curtis G. and J. A. Harvey, Anomalies and Fermion Zero Modes on Strings and Domain Walls
1985
Earlier work this paper cites.
D. S. Hwang, Gauge and Gravitational Anomalies in Two-dimensions
1987
Earlier work this paper cites.
C. Holzhey, F. Larsen, and F. Wilczek, Geometric and Renormalized Entropy in Conformal Field Theory
1994
Earlier work this paper cites.
D. V. Fursaev and S. N. Solodukhin, On the Description of the Riemannian Geometry in the Presence of Conical Defects
1995
Earlier work this paper cites.
Clarendon Press, 2001
R. A. Bertlmann, Anomalies in Quantum Field Theory (The International Series of Monographs on Physics) · 2001
Earlier work this paper cites.
O. Lunin and S. D. Mathur, Correlation functions for M N / S N M^{N}/S_{N} orbifolds
2001
Earlier work this paper cites.
J. A. Harvey, Tasi 2003 Lectures on Anomalies
2003
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, Entanglement Entropy and Quantum Field Theory
2004
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic Derivation of Entanglement Entropy from AdS/CFT
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Aspects of Holographic Entanglement Entropy
2006
Earlier work this paper cites.