Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-04-23
Class.Quant.Grav.26:245014,2009
Physics
High Energy Physics
High Energy Physics - Theory
v2: 1+27 pages, Typos fixed, references added and the solution for $h\neq 0$ added, v3: More typos fixed -- especially the sig
Scientific paper
10.1088/0264-9381/26/24/245014
The supergravity solutions to various $p$-branes are presented and typically it breaks one quarter of supersymmetry except for the D1 brane case, where it breaks one half of supersymmetry and are manifestly non-relativistic in nature. The symmetries that the solutions enjoys are that of space and time translations, rotations, boosts but without any scaling and special conformal transformations except for $p\neq 3$. We have also constructed supersymmetric non-relativistic cascading solutions to intersecting $D3$ and $D5$ branes on both the singular as well as on deformed conifold, where the $D5$'s are wrapped on the $S^2$ 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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