The General Warped Solution with Conical Branes in Six-dimensional Supergravity

TL;DR

This paper derives a comprehensive class of warped solutions in six-dimensional supergravity that incorporate multiple conical branes, providing a flexible framework for modeling brane-world scenarios with flux quantization.

Contribution

It introduces a general method to embed multiple conical branes into warped geometries using an arbitrary holomorphic function in six-dimensional supergravity.

Findings

Derived regular warped solutions with multiple conical branes.

Demonstrated embedding of multi-branes via holomorphic functions with zeroes.

Discussed generalized flux quantization conditions.

Abstract

We present the general regular warped solution with 4D Minkowski spacetime in six-dimensional gauged supergravity. In this framework, we can easily embed multiple conical branes into the warped geometry by choosing an undetermined holomorphic function. As an example, for the holomorphic function with many zeroes, we find warped solutions with multi-branes and discuss the generalized flux quantization in this case.