Lifshitz to AdS flow with interpolating p-brane solutions

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.

18 pages; v2: minor changes, including a bad typo in the eqs of Sec-(4.3), references added

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• Gravity duals for non-relativistic CFTs
• Lifshitz Solutions of D=10 and D=11 supergravity
• Charged Black Branes with Hyperscaling Violating Factor
• Constructing Lifshitz solutions from AdS
• Lifshitz solutions in supergravity and string theory
• Special limits and non-relativistic solutions
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Cited by in corpus (11)

• Boundary Stress-Energy Tensor and Newton-Cartan Geometry in Lifshitz Holography
• Interpolating from Bianchi Attractors to Lifshitz and AdS Spacetimes
• On the reconstruction of Lifshitz spacetimes
• What do non-relativistic CFTs tell us about Lifshitz spacetimes?
• Lifshitz flows in IIB and dual field theories
• Interpolating solution from AdS${}_5$ to hyperscaling violating Lifshitz space-time
• Supersymmetric Lifshitz-like backgrounds from N=4 SYM with heavy quark density
• Holographic Lifshitz flows
• Five-dimensional Nernst branes from special geometry
• RG flows and cascades of $Li{f}_4^{(2)}\times S^1\times S^5$ vacua
• Holographic entanglement entropy for $Li{f}_4^{(2)}\times S^1\times S^5$ spacetime with string excitations