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- W4285429145 abstract "In this paper, we investigate generalized volume-complexity $mathcal{C}_{rm gen}$ for a two-sided uncharged HV black brane in $d+2$ dimensions. This quantity which was recently introduced in [arXiv:2111.02429], is an extension of volume in the Complexity=Volume (CV) proposal, by adding higher curvature corrections with a coupling constant $lambda$ to the volume functional. We numerically calculate the growth rate of $mathcal{C}_{rm gen}$ for different values of the hyperscaling violation exponent $theta$ and dynamical exponent $z$. It is observed that $mathcal{C}_{rm gen}$ always grows linearly at late times provided that we choose $lambda$ properly. Moreover, it approaches its late time value from below. For the case $lambda=0$, we find an analytic expression for the late time growth rate for arbitrary values of $theta$ and $z$. However, for $lambda neq 0$, the late time growth rate can only be calculated analytically for some specific values of $theta$ and $z$. We also examine the dependence of the growth rate on $d$, $theta$, $z$ and $lambda$. Furthermore, we calculate the complexity of formation obtained from volume-complexity and show that it is not UV divergent. We also examine its dependence on the thermal entropy and temperature of the black brane." @default.
- W4285429145 created "2022-07-15" @default.
- W4285429145 creator A5057802490 @default.
- W4285429145 date "2022-07-11" @default.
- W4285429145 modified "2023-09-26" @default.
- W4285429145 title "Generalized Volume-Complexity For Two-Sided Hyperscaling Violating Black Branes" @default.
- W4285429145 doi "https://doi.org/10.48550/arxiv.2207.05287" @default.
- W4285429145 hasPublicationYear "2022" @default.
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