Supersymmetric IIB Solutions with Schr\"{o}dinger Symmetry

TL;DR

This paper constructs non-relativistic supersymmetric solutions in type IIB supergravity with Schr"odinger symmetry, exploring various internal manifolds and dynamical exponents, including explicit solutions with different exponents.

Contribution

It introduces a new class of supersymmetric IIB solutions with Schr"odinger symmetry, extending previous work to include various internal manifolds and dynamical exponents.

Findings

Solutions with dynamical exponent n=2 and U(1)^3 symmetry

Supersymmetry preserved with two or four supercharges depending on the internal manifold

Explicit solutions characterized by eigenfunctions of the Laplacian on Einstein manifolds

Abstract

We find a class of non-relativistic supersymmetric solutions of IIB supergravity with non-trivial B-field that have dynamical exponent n=2 and are invariant under the Schrodinger group. For a general Sasaki-Einstein internal manifold with U(1)^3 isometry, the solutions have two real supercharges. When the internal manifold is S^5, the number of supercharges can be four. We also find a large class of non-relativistic scale invariant type IIB solutions with dynamical exponents different from two. The explicit solutions and the values of the dynamical exponents are determined by vector eigenfunctions and eigenvalues of the Laplacian on an Einstein manifold.