English

Membranes Wrapped on Holomorphic Curves

High Energy Physics - Theory 2009-11-07 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0105250,
  title  = {Membranes Wrapped on Holomorphic Curves},
  author = {Jerome P. Gauntlett and Nakwoo Kim and Stathis Pakis and Daniel Waldram},
  journal= {arXiv preprint arXiv:hep-th/0105250},
  year   = {2009}
}

Comments

22 pages, 6 figures

R2 v1 2026-07-22T15:04:23.122Z