Supersymmetric solutions based on Y^{p,q} and L^{p,q,r}

TL;DR

This paper constructs explicit supersymmetric solutions in type-IIB supergravity using cones over Y^{p,q} and L^{p,q,r} spaces, providing new geometric backgrounds for D-brane configurations.

Contribution

It explicitly realizes supersymmetric cones over Y^{p,q} and L^{p,q,r} spaces and constructs corresponding supergravity solutions with D-branes.

Findings

Explicit supersymmetric cone constructions over Y^{p,q} and L^{p,q,r}

New supergravity solutions with D3- and D5-branes

Warped product geometries based on Einstein--Sasaki spaces

Abstract

We explicitly realize supersymmetric cones based on the five-dimensional Y^{p,q} and L^{p,q,r} Einstein--Sasaki spaces. We use them to construct supersymmetric type-IIB supergravity solutions representing a stack of D3- and D5-branes as warped products of the six-dimensional cones and R^{1,3}.