https://doi.org/10.1140/epjc/s10052-014-2778-6
Regular Article - Theoretical Physics
Comments on 
solutions from M2-branes on complex curves and the backreacted Kähler geometry
Department of Physics and Research Institute of Basic Science, Kyung Hee University, Seoul, 130-701, Korea
* e-mail: nkim@khu.ac.kr
Received:
6
December
2013
Accepted:
6
February
2014
Published online:
27
February
2014
We consider solutions of M-theory which are obtained by twisted compactifications of M2-branes on a complex curve. They are of a generalized class, in the sense that the non-abelian part of the connection for the holomorphic bundle over the supersymmetric cycle is nontrivial. They are solutions of 
gauged supergravity in 
, with magnetic flux over the curve, and then uplifted to 
. We discuss the behavior of conformal fixed points as a function of the non-abelian connection. We also describe how they fit into the general description of wrapped M2-brane solutions and their higher-order generalizations, by showing that they satisfy the master equation for the eight-dimensional Kähler base space.
© The Author(s), 2014
