Complexity of Einstein-Maxwell-non-minimal coupling $R^2F^2$: the role of the penalty factor

• URL: http://arxiv.org/abs/2509.25165v1
• Date: Mon, 29 Sep 2025 17:58:08 GMT
• Title: Complexity of Einstein-Maxwell-non-minimal coupling $R^2F^2$: the role of the penalty factor
• Authors: Mojtaba Shahbazi, Mehdi Sadeghi,
• Abstract summary: We introduce a perturbative black brane solution in AdS spacetime up to the first order of the non-minimal coupling.<n>Because the model exhibits the resistivity proportional to the temperature, it could describe strange metals.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this paper, we examine the holographic complexity of a theory of Einstein-Maxwell with a non-minimal coupling $R^2 F_{\mu \nu }F^{\mu \nu} $ term via complexity=anything. We introduce a perturbative black brane solution in AdS spacetime up to the first order of the non-minimal coupling. Because the model exhibits the resistivity proportional to the temperature, it could describe strange metals. The complexity of the solution could be characterized by three quantities: the conserved charge, the non-minimal coupling and the generalized term in the complexity. The generalized term is chosen to be $C^2$, the Weyl squared tensor, $R^2F^2$ and $F^2$. The physical interpretation of the three quantities has been provided where the generalized term is interpreted as a bulk penalty factor, the non-minimal coupling and the conserved charge as an effective scrambling time of the dual theory which contains the choice of the generalization parameter.

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