Non-relativistic Branes

Abstract

We construct gravitational non-relativistic brane solutions of type IIA/IIB string theories and M-theory and their near-horizon geometries. The non-relativistic M2 and M5-brane metrics have Schroedinger symmetries with dynamical exponent z=3/2 and z=3, respectively, whereas the known D3-brane solution has z=2. The non-relativistic D-brane, NS5-brane, F-string and KK monopole metrics have asymptotically space and time translations, space rotations, Galilean symmetries and a particle number symmetry. We construct two different gravitational backgrounds of a non-relativistic D1-D5 system, both having asymptotically Schroedinger symmetry with exponent z=2. We study the properties of the solutions and their phase diagram.

24 pages, harvmac; minor corrections, references added

References in corpus (3)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Families of IIB duals for nonrelativistic CFTs

Cited by in corpus (6)

• Galilean Conformal Algebras and AdS/CFT
• Correlation Functions in Non-Relativistic Holography
• On AdS/CFT of Galilean Conformal Field Theories
• Geometry of Schroedinger Space-Times, Global Coordinates, and Harmonic Trapping
• Non-relativistic metrics with extremal limits
• Non-relativistic D3-brane in the presence of higher derivative corrections