Reparameterization Dependence is Useful for Holographic Complexity
High Energy Physics - Theory
2021-07-06 v3
Abstract
Holographic complexity in the "complexity equals action" approach is reconsidered relaxing the requirement of reparameterization invariance of the action with the prescription that the action vanish in any vacuum causal diamond. This implies that vacuum anti-de Sitter space plays the role of the reference state. Moreover, the complexity of an anti-de Sitter-Schwarzschild black hole becomes intrinsically finite and saturates Lloyd's bound after a critical time. It is also argued that several artifacts, such as the unphysical negative-time interval, can be removed by truly considering the bulk dual of the thermofield double state.
Keywords
Cite
@article{arxiv.2101.10909,
title = {Reparameterization Dependence is Useful for Holographic Complexity},
author = {Ayoub Mounim and Wolfgang Mück},
journal= {arXiv preprint arXiv:2101.10909},
year = {2021}
}
Comments
33 pages, 7 figures, v2: references added, v3: added section on BTZ black hole, version to appear in JHEP