New D=6, N=(1,1) Gauged Supergravity with Supersymmetric (Minkowski)_4 X S^2 Vacuum

TL;DR

This paper introduces a new six-dimensional gauged supergravity theory derived from M-theory on K3, featuring a unique abelian gauge structure and a supersymmetric Minkowski_4 x S^2 vacuum that relates to intersecting M5-branes.

Contribution

It presents a novel gauged supergravity in six dimensions obtained via a generalized Kaluza-Klein reduction, differing from previous models by its abelian vector fields and specific vacuum solutions.

Findings

New D=6, N=(1,1) gauged supergravity constructed.

Existence of a supersymmetric Minkowski_4 x S^2 vacuum.

Vacuum can be uplifted to D=11 as intersecting M5-branes.

Abstract

We obtain a new gauged D=6, N=(1,1) pure supergravity by a generalised consistent Kaluza-Klein reduction of M-theory on K3 \times R. The reduction requires a conspiratory gauging of both the Cremmer-Julia type global (rigid) symmetry and the homogeneous rescaling symmetry of the supergravity equations of motion. The gauged supergravity is different from the Romans D=6 gauged supergravity in that the four vector fields in our new theory are all abelian. We show that it admits a supersymmetric (Minkowski)_4\times S^2 vacuum, which can be lifted to D=11 where it becomes the near-horizon geometry of two intersecting M5-branes wrapping on a supersymmetric two-cycle of K3.