Membranes Wrapped on Holomorphic Curves
Jerome P. Gauntlett, Nakwoo Kim, Stathis Pakis, Daniel Waldram
TL;DR
This paper constructs supergravity solutions describing M-theory membranes wrapped on holomorphic curves in Calabi-Yau manifolds, providing new AdS/CFT examples and analyzing singularities.
Contribution
It introduces new supergravity solutions for membranes wrapped on holomorphic curves in Calabi-Yau spaces, extending the AdS/CFT correspondence.
Findings
New smooth AdS/CFT solutions for four-folds and five-folds
Analysis of singularities in wrapped membrane solutions
Interpretation of charged topological AdS black holes
Abstract
We construct supergravity solutions dual to the twisted field theories arising when M-theory membranes wrap holomorphic curves in Calabi-Yau n-folds. The solutions are constructed in an Abelian truncation of maximal D=4 gauged supergravity and then uplifted to D=11. For four-folds and five-folds we find new smooth AdS/CFT examples and for all cases we analyse the nature of the singularities that arise. Our results provide an interpretation of certain charged topological AdS black holes. We also present the generalised calibration two-forms for the solutions.
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