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Original
1928
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N. Seiberg and E. Witten, String theory and noncommutative geometry
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2002
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2013

Holographic entanglement entropy in nonlocal theories

Karczmarek, Joanna L., Rabideau, Charles

Understand

We compute holographic entanglement entropy in two strongly coupled nonlocal field theories: the dipole and the noncommutative deformations of SYM theory.

We find that entanglement entropy in the dipole theory follows a volume law for regions smaller than the length scale of nonlocality and has a smooth cross-over to an area law for larger regions.
In contrast, in the noncommutative theory the entanglement entropy follows a volume law for up to a critical length scale at which a phase transition to an area law occurs.
The critical length scale increases as the UV cutoff is raised, which is indicative of UV/IR mixing and implies that entanglement entropy in the noncommutative theory follows a volume law for arbitrary large regions when the size of the region is fixed as the UV cutoff is removed to infinity.

Built on

J. L. Barbon and C. A. Fuertes, Holographic entanglement entropy probes (non)locality
Original
1928
Earlier work this paper cites.
E. Bergshoeff, C. M. Hull, and T. Ortin, Duality in the type II superstring effective action
1995
Earlier work this paper cites.
A. Hashimoto and N. Itzhaki, Noncommutative Yang-Mills and the AdS / CFT correspondence
1999
Earlier work this paper cites.
J. M. Maldacena and J. G. Russo, Large N limit of noncommutative gauge theories
1999
Earlier work this paper cites.
N. Seiberg and E. Witten, String theory and noncommutative geometry
1999
Earlier work this paper cites.
S. Minwalla, M. Van Raamsdonk, and N. Seiberg, Noncommutative perturbative dynamics
2000
Earlier work this paper cites.
S. Chakravarty, K. Dasgupta, O. J. Ganor, and G. Rajesh, Pinned branes and new nonLorentz invariant theories
2000
Earlier work this paper cites.
A. Bergman and O. J. Ganor, Dipoles, twists and noncommutative gauge theory
2000
Earlier work this paper cites.
K. Dasgupta, O. J. Ganor, and G. Rajesh, Vector deformations of N=4 superYang-Mills theory, pinned branes, and arched strings
2001
Earlier work this paper cites.
A. Hashimoto and N. Itzhaki, Traveling faster than the speed of light in noncommutative geometry
2001
Earlier work this paper cites.
A. Bergman, K. Dasgupta, O. J. Ganor, J. L. Karczmarek, and G. Rajesh, Nonlocal field theories and their gravity duals
2002
Earlier work this paper cites.
K. Dasgupta and M. Sheikh-Jabbari, Noncommutative dipole field theories
2002
Earlier work this paper cites.

Similar

B. Durhuus and T. Jonsson, Noncommutative waves have infinite propagation speed
2004
Cited alongside, same era.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT
2006
Cited alongside, same era.
S. Ryu and T. Takayanagi, Aspects of Holographic Entanglement Entropy
2006
Cited alongside, same era.
T. Nishioka and T. Takayanagi, AdS Bubbles, Entropy and Closed String Tachyons
2007
Cited alongside, same era.
V. E. Hubeny, M. Rangamani, and T. Takayanagi, A Covariant holographic entanglement entropy proposal
Original
2007
Cited alongside, same era.
M. Headrick and T. Takayanagi, A Holographic proof of the strong subadditivity of entanglement entropy