Complexity and Behind the Horizon Cut Off
Motivated by \(T{\overline T}\) deformation of a conformal field theory we compute holographic complexity for a black brane solution with a cut off using "complexity=action" proposal. In order to have a late time behavior consistent with Lloyd's bound one is forced to have a cut off b...
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| Veröffentlicht in: | arXiv.org 2018-11 |
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| creator | Akhavan, Amin Alishahiha, Mohsen Naseh, Ali Zolfi, Hamed |
| description | Motivated by \(T{\overline T}\) deformation of a conformal field theory we compute holographic complexity for a black brane solution with a cut off using "complexity=action" proposal. In order to have a late time behavior consistent with Lloyd's bound one is forced to have a cut off behind the horizon whose value is fixed by the boundary cut off. 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 cut off where the complexity approaches a constant at the late time. |
| doi_str_mv | 10.48550/arxiv.1810.12015 |
| format | Article |
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| subjects | Complexity Deformation Field theory Horizon Physics - General Relativity and Quantum Cosmology Physics - High Energy Physics - Theory Physics - Quantum Physics |
| title | Complexity and Behind the Horizon Cut Off |
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