Complexity growth with Lifshitz scaling and hyperscaling violation

Autor: Mohsen Alishahiha, Amin Faraji Astaneh, M. Reza Mohammadi Mozaffar, Ali Mollabashi
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2018, Iss 7, Pp 1-18 (2018)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP07(2018)042
Popis: Abstract Using “complexity=action” proposal we study the growth rate of holographic complexity for Lifshitz and hyperscaling violating geometries. We will consider both one and two sided black branes in an Einstein-Maxwell-Dilaton gravitational theory. We find that in either case Lloyd’s bound is violated and the rate of growth of complexity saturate to a value which is greater than twice the mass of the corresponding black brane. This value reduces to the mass of the black brane in the isotropic case. We show that in two sided black brane the saturation happens from above while for one sided black brane it happens from below.
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