Geometry and Phase Structure of Non-Relativistic Branes

Abstract

We use the solution generating technique, the TsT transformation, to obtain new solutions in type II string theory as well as in M-theory. We explicitly work out examples starting with rotating D3 and M2 branes as well as D1-D5-p system. Among a variety of solutions, we find many of them have asymptotic Schrödinger symmetry. We also device a new method of deriving free energy of black brane systems, which is more efficient than the Euclidean action procedure. We test our method on known examples before applying it to new asymptotically Schrödinger backgrounds. We study phase structure of these backgrounds by analysing the free energy thus derived.

43 pages, 1 figure, references added

References in corpus (18)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Precision holography for non-conformal branes
• Non-relativistic conformal symmetries and Newton-Cartan structures
• The geometry of Schrödinger symmetry in non-relativistic CFT
• The Incompressible Non-Relativistic Navier-Stokes Equation from Gravity
• Conformal non-relativistic hydrodynamics from gravity
• Thermodynamics of Black Holes in Schroedinger Space
• On Euclidean and Noetherian Entropies in AdS Space
• Phase transitions and critical behavior of black branes in canonical ensemble
• Non-relativistic Branes
• Supersymmetric non-relativistic geometries in M-theory
• Non-relativistic metrics with extremal limits
• Gauduchon-Tod structures, Sim holonomy and De Sitter supergravity
• Phase Transition of Electrically Charged Ricci-flat Black Holes
• Black hole complementarity with local horizons and Horowitz-Maldacena's proposal
• Null Melvin Twist to Sakai-Sugimoto model