UV Caps and Modulus Stabilization for 6D Gauged Chiral Supergravity

TL;DR

This paper presents a method to regularize brane singularities in 6D gauged chiral supergravity, demonstrating how to stabilize extra dimensions and realize the Goldberger-Wise mechanism through explicit brane cap constructions.

Contribution

It introduces an explicit UV regularization of brane singularities in 6D supergravity and shows how to stabilize extra dimensions via brane properties and scalar potential analysis.

Findings

Explicit UV regularization of brane singularities achieved

Stable extra dimensions through brane-induced scalar potential

Realization of Goldberger-Wise stabilization in 6D supergravity

Abstract

We describe an explicit UV regularization of the brane singularities for all 4D flat configurations of 6D gauged chiral supergravity compactified on axially symmetric internal spaces (for which the general solutions are known). All such solutions have two or fewer co-dimension two singularities, which we resolve in terms of microscopic co-dimension one cylindrical 4-branes, whose interiors are capped using the most general possible 4D flat solution of the 6D field equations. By so doing we show that such a cap is always possible for any given bulk geometry, and obtain an explicit relationship between the properties of the capped 4-branes and the various parameters which describe the bulk solution. We show how these branes generically stabilize the size of the extra dimensions by breaking the scale invariance which relates classical solutions to 6D supergravity, and we compute the scalar potential for this modulus in the 4D effective theory. The lifting of this marginal direction provides a natural realization of the Goldberger-Wise stabilization mechanism in six dimensions.