A deformed conifold with a cosmological constant
Stanislav Kuperstein
TL;DR
This paper presents a new regular six-dimensional Einstein solution with a positive cosmological constant, interpolating between deformed and resolved conifold geometries, using superpotential methods.
Contribution
It introduces a novel compact solution with specific deformation and resolution parameters determined by the cosmological constant.
Findings
The solution is regular and compact.
It interpolates between deformed and resolved conifold geometries.
Deformation and resolution parameters are set by the cosmological constant.
Abstract
We find a new regular solution of six-dimensional Einstein's equations with a positive cosmological constant. It has the same isometry group as the (deformed) conifold geometry, and the superpotential approach is used to solve the equations of motion. The space is compact and interpolates between the deformed conifold and the resolved cone with a blown-up four cycle. The deformation/resolution parameters are set by the cosmological constant.
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