Built on

K. Goto, H. Marrochio, R. C. Myers, L. Queimada and B. Yoshida, “Holographic Complexity Equals Which Action?,” JHEP 02
Original
1901
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys. 38
1998
Earlier work this paper cites.
R. Emparan, C. V. Johnson and R. C. Myers, “Surface terms as counterterms in the AdS / CFT correspondence,” Phys. Rev. D 60
1999
Earlier work this paper cites.
S. Lloyd, “Ultimate physical limits to computation,” Nature 406
2000
Earlier work this paper cites.
D. J. Navarro, J. Navarro-Salas and P. Navarro, “Holography, degenerate horizons and entropy,” Nucl. Phys. B 580
2000
Earlier work this paper cites.
A. Fabbri, D. J. Navarro and J. Navarro-Salas, “Quantum evolution of near extremal Reissner-Nordstrom black holes,” Nucl. Phys. B 595
2001
Earlier work this paper cites.
M. Bianchi, D. Z. Freedman and K. Skenderis, “Holographic renormalization,” Nucl. Phys. B 631
2002
Earlier work this paper cites.
K. Skenderis, “Lecture notes on holographic renormalization,” Class. Quant. Grav. 19
2002
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT, ” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
A. Sen, “Quantum Entropy Function from AdS(2)/CFT(1) Correspondence,” Int. J. Mod. Phys. A 24
Original
2009
Earlier work this paper cites.
D. Galante and M. Schvellinger, “Thermalization with a chemical potential from AdS spaces,” JHEP 1207
Original
2012
Earlier work this paper cites.

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2019

Complexity and Near Extremal Charged Black Branes

Alishahiha, Mohsen, Velni, Komeil Babaei, Tanhayi, Mohammad Reza

Understand

We compute holographic complexity of charged black brane solutions in arbitrary dimensions for the near horizon limit of near extremal case using two different methods.

The corresponding complexity may be obtained either by taking the limit from the complexity of the charged black brane, or by computing the complexity for near horizon limit of near extremal solution.
One observes that these results coincide if one assumes to have a cutoff behind horizon whose value is fixed by UV cutoff and also taking into account a proper counterterm evaluated on this cutoff.
We also consider the situation for Vaidya charged black branes too.

Built on

K. Goto, H. Marrochio, R. C. Myers, L. Queimada and B. Yoshida, “Holographic Complexity Equals Which Action?,” JHEP 02
Original
1901
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys. 38
1998
Earlier work this paper cites.
R. Emparan, C. V. Johnson and R. C. Myers, “Surface terms as counterterms in the AdS / CFT correspondence,” Phys. Rev. D 60
1999
Earlier work this paper cites.
S. Lloyd, “Ultimate physical limits to computation,” Nature 406
2000
Earlier work this paper cites.
D. J. Navarro, J. Navarro-Salas and P. Navarro, “Holography, degenerate horizons and entropy,” Nucl. Phys. B 580
2000
Earlier work this paper cites.
A. Fabbri, D. J. Navarro and J. Navarro-Salas, “Quantum evolution of near extremal Reissner-Nordstrom black holes,” Nucl. Phys. B 595
2001
Earlier work this paper cites.
M. Bianchi, D. Z. Freedman and K. Skenderis, “Holographic renormalization,” Nucl. Phys. B 631
2002
Earlier work this paper cites.
K. Skenderis, “Lecture notes on holographic renormalization,” Class. Quant. Grav. 19
2002
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT, ” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
A. Sen, “Quantum Entropy Function from AdS(2)/CFT(1) Correspondence,” Int. J. Mod. Phys. A 24
Original
2009
Earlier work this paper cites.
D. Galante and M. Schvellinger, “Thermalization with a chemical potential from AdS spaces,” JHEP 1207
Original
2012
Earlier work this paper cites.