Deformations of Lifshitz holography with the Gauss-Bonnet term in ($n+1$) dimensions

Abstract

We investigate deformations of Gauss-Bonnet-Lifshitz holography in $(n+1)$ dimensional spacetime. Marginally relevant operators are dynamically generated by a momentum scale $\Lambda \sim 0$ and correspond to slightly deformed Gauss-Bonnet-Lifshitz spacetimes via a holographic picture. To admit (non-trivial) sub-leading orders of the asymptotic solution for the marginal mode, we find that the value of the dynamical critical exponent $z$ is restricted by $z=n-1-2(n-2)\tilde{\alpha }$, where $\tilde{\alpha }$ is the (rescaled) Gauss-Bonnet coupling constant. The generic black hole solution, which is characterized by the horizon flux of the vector field and $\tilde{\alpha }$, is obtained in the bulk, and we explore its thermodynamic properties for various values of $n$ and $\tilde{\alpha }$.

40 pages, 13 figures

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Cited by in corpus (1)

• Holographic renormalization and anisotropic black branes in higher curvature gravity