Author:
Akhavan Amin,Alishahiha Mohsen,Naseh Ali,Zolfi Hamed
Abstract
Abstract
Motivated by
$$ T\overline{T} $$
T
T
¯
deformation of a conformal field theory we compute holographic complexity for a black brane solution with a cutoff using “complexity=action” proposal. In order to have a late time behavior consistent with Lloyd’s bound one is forced to have a cutoff behind the horizon whose value is fixed by the boundary cutoff. Using this result we compute holographic complexity for two dimensional AdS solutions where we get expected late times linear growth. It is in contrast with the naively computation which is done without assuming the cutoff where the complexity approaches a constant at the late time.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference30 articles.
1. A.R. Brown, D.A. Roberts, L. Susskind, B. Swingle and Y. Zhao, Holographic Complexity Equals Bulk Action?, Phys. Rev. Lett.
116 (2016) 191301 [arXiv:1509.07876] [INSPIRE].
2. A.R. Brown, D.A. Roberts, L. Susskind, B. Swingle and Y. Zhao, Complexity, action and black holes, Phys. Rev.
D 93 (2016) 086006 [arXiv:1512.04993] [INSPIRE].
3. S. Lloyd, Ultimate Physical limits to computation, Nature
406 (2000) 1047 [quant-ph/9908043].
4. D. Carmi, S. Chapman, H. Marrochio, R.C. Myers and S. Sugishita, On the Time Dependence of Holographic Complexity, JHEP
11 (2017) 188 [arXiv:1709.10184] [INSPIRE].
5. A.B. Zamolodchikov, Expectation value of composite field
$$ T\overline{T} $$
in two-dimensional quantum field theory, hep-th/0401146 [INSPIRE].
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