Abstract

The supergravity solutions to various p-branes are presented and typically break one quarter of supersymmetry except for the D1 brane case, where they break one half of supersymmetry and are manifestly non-relativistic in nature. The symmetries that the solutions enjoy are that of space and time translations, rotations, boosts but without any scaling and special conformal transformations except for p ≠ 3. We have also constructed supersymmetric non-relativistic cascading solutions to intersecting D3 and D5 branes on both the singular and on deformed conifold, where D5's are wrapped on S2 of the Calabi–Yau, i.e. the analogs of Klebanov–Tseytlin and Klebanov–Strassler solutions and the supersymmetric non-relativistic M2 brane solution.

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