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N. Margolus and L. B. Levitin, The Maximum speed of dynamical evolution , Physica D120
1998
Earlier work this paper cites.
N. Seiberg and E. Witten, String theory and noncommutative geometry , JHEP 09
1999
Earlier work this paper cites.
J. M. Maldacena and J. G. Russo, Large N limit of noncommutative gauge theories , JHEP 09
1999
Earlier work this paper cites.
A. Hashimoto and N. Itzhaki, Noncommutative Yang-Mills and the AdS / CFT correspondence , Phys. Lett. B465
1999
Earlier work this paper cites.
M. Alishahiha, Y. Oz and M. M. Sheikh-Jabbari, Supergravity and large N noncommutative field theories , JHEP 11
1999
Earlier work this paper cites.
S. Lloyd, Ultimate physical limits to computation , Nature 406
2000
Earlier work this paper cites.
R.-G. Cai and N. Ohta, On the thermodynamics of large N noncommutative superYang-Mills theory , Phys. Rev. D61
2000
Earlier work this paper cites.

Similar

W. Fischler, E. Gorbatov, A. Kashani-Poor, R. McNees, S. Paban and P. Pouliot, The Interplay between theta and T , JHEP 06
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D. S. Berman, V. L. Campos, M. Cederwall, U. Gran, H. Larsson, M. Nielsen et al., Holographic noncommutativity , JHEP 05
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2017

Couch, Josiah, Eccles, Stefan, Fischler, Willy et al.

We study the holographic complexity of noncommutative field theories.

The four-dimensional $\mathcal{N}=4$ noncommutative super Yang-Mills theory with Moyal algebra along two of the spatial directions has a well known holographic dual as a type IIB supergravity theory with a stack of D3 branes and non-trivial NS-NS B fields.
We start from this example and find that the late time holographic complexity growth rate, based on the "complexity equals action" conjecture, experiences an enhancement when the non-commutativity is turned on.
This enhancement saturates a new limit which is exactly 1/4 larger than the commutative value.

N. Margolus and L. B. Levitin, The Maximum speed of dynamical evolution , Physica D120
1998
Earlier work this paper cites.
N. Seiberg and E. Witten, String theory and noncommutative geometry , JHEP 09
1999
Earlier work this paper cites.
J. M. Maldacena and J. G. Russo, Large N limit of noncommutative gauge theories , JHEP 09
1999
Earlier work this paper cites.
A. Hashimoto and N. Itzhaki, Noncommutative Yang-Mills and the AdS / CFT correspondence , Phys. Lett. B465
1999
Earlier work this paper cites.
M. Alishahiha, Y. Oz and M. M. Sheikh-Jabbari, Supergravity and large N noncommutative field theories , JHEP 11
1999
Earlier work this paper cites.
S. Lloyd, Ultimate physical limits to computation , Nature 406
2000
Earlier work this paper cites.
R.-G. Cai and N. Ohta, On the thermodynamics of large N noncommutative superYang-Mills theory , Phys. Rev. D61
2000
Earlier work this paper cites.

W. Fischler, E. Gorbatov, A. Kashani-Poor, R. McNees, S. Paban and P. Pouliot, The Interplay between theta and T , JHEP 06
2000
Cited alongside, same era.
M. Alishahiha, H. Ita and Y. Oz, Graviton scattering on D6-branes with B fields , JHEP 06
2000
Cited alongside, same era.
D. S. Berman, V. L. Campos, M. Cederwall, U. Gran, H. Larsson, M. Nielsen et al., Holographic noncommutativity , JHEP 05
2001
Cited alongside, same era.
M. Edalati, W. Fischler, J. F. Pedraza and W. Tangarife Garcia, Fast Scramblers and Non-commutative Gauge Theories , JHEP 07
Original
2012
Cited alongside, same era.
J. L. Karczmarek and C. Rabideau, Holographic entanglement entropy in nonlocal theories , JHEP 10
Original
2013
Cited alongside, same era.