Non-relativistic Branes

TL;DR

This paper constructs and analyzes non-relativistic brane solutions in string theory and M-theory, revealing their symmetries, geometries, and phase structures, with potential applications in holography and condensed matter physics.

Contribution

It introduces new non-relativistic brane solutions with specific symmetries and explores their properties and phase diagrams, expanding the landscape of holographic models.

Findings

M2 and M5-brane metrics exhibit Schroedinger symmetries with z=3/2 and z=3.

D3-brane solution has z=2 Schroedinger symmetry.

Various branes have asymptotic symmetries including Galilean and particle number symmetry.

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.