Lifshitz to AdS flow with interpolating p-brane solutions

TL;DR

This paper introduces a new class of supersymmetric solutions that smoothly connect Lifshitz and AdS geometries, enabling the study of entanglement entropy and duality properties in holographic models.

Contribution

It presents novel interpolating solutions between Lifshitz and AdS spacetimes, expanding the understanding of holographic dualities and entanglement in these backgrounds.

Findings

Interpolating solutions are smooth and connect IR Lifshitz to UV AdS regimes.

Modified entropy functional due to the bulk solutions.

Observation of electric-magnetic duality effects on thermal entropy.

Abstract

In continuation with our studies of Lifshitz like D$p$-brane solutions, we propose a class of 1/4 BPS supersymmetric interpolating solutions which interpolate between IR Lifshitz solutions and UV AdS solutions smoothly. We demonstrate properties of these classical solutions near the two fixed points. These interpolating solutions are then used to calculate the entanglement entropies of strip-like subsystems. With these bulk solutions the entropy functional also gets modified. We also make a curious observation about the electric-magnetic duality and the thermal entropy of the Hodge-dual Lifshitz D$p$ brane systems.