Non-relativistic supersymmetric Dp branes

TL;DR

This paper presents supergravity solutions for non-relativistic supersymmetric Dp branes, highlighting their symmetries, supersymmetry breaking patterns, and constructing intersecting brane solutions with cascading behaviors.

Contribution

It introduces new non-relativistic supergravity solutions for Dp branes, including intersecting branes and cascading solutions, expanding the understanding of non-relativistic supersymmetric backgrounds.

Findings

D1 brane breaks half of supersymmetry, others break a quarter.

Solutions exhibit translation, rotation, boost symmetries without scaling.

Constructed cascading solutions for intersecting D3 and D5 branes.

Abstract

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.