The deformed conifold as a geometry on the space of unit charge CP^1 lumps

TL;DR

This paper explores the geometric relationship between the deformed conifold and the moduli space of CP^1 lumps, revealing new insights into D3 brane dynamics and curvature properties of the conifold.

Contribution

It identifies a structural similarity that allows interpreting D3 brane results through lump dynamics and deduces curvature features of the deformed conifold.

Findings

Revealed geometric similarity between deformed conifold and CP^1 lump moduli space

Reinterpreted D3 brane results in terms of lump dynamics

Deduced curvature properties of the deformed conifold

Abstract

The strong structural similarity between the deformed conifold of Candelas and de la Ossa (a noncompact Calabi-Yau manifold) and the moduli space of unit charge CP^1 lumps equipped with its L^2 metric is pointed out. This allows one to reinterpret certain recent results on D3 branes in terms of lump dynamics, and to deduce certain curvature properties of the deformed conifold.