Conical Singularities in Three or Four-Dimensions and Supersymmetry Breaking

TL;DR

This paper explores mechanisms to generate conical singularities in 3D and 4D supergravity systems, which can be used for supersymmetry breaking while preserving zero cosmological constant, and investigates a duality connecting these dimensions.

Contribution

It introduces new mechanisms for creating conical singularities in supergravity theories applicable to supersymmetry breaking with zero cosmological constant.

Findings

Mechanisms for conical singularities in 3D and 4D supergravity are developed.

A strong coupling duality between three and four dimensions is analyzed.

Potential applications for supersymmetry breaking without cosmological constant are identified.

Abstract

We present mechanisms for generating conical singularities both in three and four-dimensions in the systems with copies of scalar or chiral multiplets coupled to $N=2$ or $N=1$ supergravity. Our mechanisms are useful for supersymmetry breaking, maintaining the zero cosmological constants in three and four-dimensions. A strong coupling duality connecting these two dimensionalities is also studied.