Complexity Growth with Lifshitz Scaling and Hyperscaling Violation - INSPIRE

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Complexity Growth with Lifshitz Scaling and Hyperscaling Violation

Mohsen Alishahiha
(
- IPM, Tehran
)
,
Amin Faraji Astaneh
(
- Arak U. and
- IPM, Tehran
)
,
M. Reza Mohammadi Mozaffar
(
- IPM, Tehran
)
,
Ali Mollabashi
(
- IPM, Tehran
)

Feb 19, 2018

18 pages

Published in:

JHEP 07 (2018) 042

Published: Jul 6, 2018

e-Print:

1802.06740 [hep-th]

DOI:

10.1007/JHEP07(2018)042

Report number:

IPM-P-2018-008

View in:

reference search103 citations

Citations per year

Abstract: (Springer)

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.

Note:

17 pages, 4 figures, v2: typos corrected, references added, v3: Minor corrections, New counter terms added that also contribute to the rate of complexity growth. The conclusion is not changed, now 19 pages, v4: matches published version

AdS-CFT Correspondence
Black Holes
Gauge-gravity correspondence
Space-Time Symmetries
scaling: Lifshitz
black brane
gravitation
saturation
holography
geometry

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