Gravity duals of N=2 SCFTs and asymptotic emergence of the electrostatic description

TL;DR

This paper constructs eleven-dimensional supergravity solutions with specific symmetries that asymptotically reveal an additional U(1) isometry, linking complex geometric structures to electrostatic quiver descriptions of N=2 SCFTs.

Contribution

It presents the first supergravity solutions demonstrating asymptotic emergence of an extra U(1) symmetry, connecting geometric and electrostatic quiver frameworks.

Findings

Solutions exhibit asymptotic U(1) isometry emergence

Connects supergravity solutions with electrostatic quiver models

Uses Toda frame of Kahler surfaces with SU(2) symmetry

Abstract

We built the first eleven-dimensional supergravity solutions with SO(2,4)xSO(3)xU(1)_R symmetry that exhibit the asymptotic emergence of an extra U(1) isometry. This enables us to make the connection with the usual electrostatics-quiver description. The solution is obtained via the Toda frame of Kahler surfaces with vanishing scalar curvature and SU(2) action.