dS Solutions with co-dimension two branes in six dimensions

TL;DR

This paper explores six-dimensional models with co-dimension two branes to realize four-dimensional de Sitter solutions, analyzing conditions involving holomorphic functions, brane configurations, and topology to achieve finite Planck mass.

Contribution

It identifies specific conditions and classes of six-dimensional compactifications with branes and holomorphic functions that can produce 4D de Sitter solutions with finite Planck mass.

Findings

Different classes of solutions characterized by holomorphic functions.

Brane configurations depend on singularities and topology.

Conditions for achieving 4D de Sitter space with finite Planck mass.

Abstract

We investigate 4D dS solutions with co-dimension two branes and finite 4D Planck mass in six dimensions. We present the conditions under which six-dimensional compactifications with holomorphic axion-dilaton field or models with pure gravity with local sources can yield 4D dS solutions. Different classes of solutions are specified by a holomorphic function describing different embeddings of multiple conical branes. Depending on the local singularities of this holomorphic function and the topology of the compact dimension one has to introduce D3-branes creating a deficit angle equal to \pi and/or D4-branes with positive tensions.