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
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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