Generalizing the N=2 supersymmetric RG flow solution of IIB supergravity

TL;DR

This paper constructs explicit supersymmetry transformations for N=2 supersymmetric RG flow solutions in IIB supergravity, enabling a general algebraic framework for a new class of solutions parametrized by a single function.

Contribution

It provides an explicit algebraic construction of supersymmetry transformations for N=2 RG flow solutions, generalizing to a broader class of solutions in IIB supergravity.

Findings

Supersymmetry transformations are explicitly constructed.

The solutions are algebraically determined by supersymmetry.

A new class of solutions parametrized by a single function is introduced.

Abstract

We explicitly construct the supersymmetry transformations for the N=2 supersymmetric RG flow solution of chiral IIB supergravity. We show that the metric, dilaton/axion, five-index tensor and half of the three index tensor are determined algebraically in terms of the Killing spinor of the unbroken supersymmetry. The algebraic nature of the solution allows us to generalize this construction to a new class of N=2 supersymmetric solutions of IIB supergravity. Each solution in this class is algebraically determined by supersymmetry and is parametrized by a single function of two variables that satisfies a non-linear equation akin to the Laplace equation on the space transverse to the brane.