Supersymmetric IIB Solutions with Schrödinger Symmetry

Details Supersymmetric IIB Solutions with Schrödinger Symmetry Supersymmetric IIB Solutions with Schrödinger Symmetry

2009-05-05

arxiv.org/abs/0905.0673v1

JHEP 0907:107,2009

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, LaTeX

Scientific paper

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.

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