It is known that the topological A-model allows the existence of $\frac{1}{2} \left[ D + \mathrm{rank} \left( B \right) \right]$-dimensional branes, where $D$ is a dimensionality of space-time, and $B$ is a B-field.

Witten showed that the A-model with the target space being the cotangent bundle $T^*M$ to some 3-fold $M$ is equivalent to the Chern-Simons theory defined on this space which is interpreted as an effective theory living on the stack of 3-branes wrapping the base $M$. More general 3-branes configurations are possible if these branes wrap a Lagrangian submanifold of the embedding space. Generically, in accordance to what stated above, 5-branes are also allowed in a CY 3-fold if one has a non-zero $B$-field.

**Question:** Could anybody recommend any literature on these higher-dimensional topological branes and their world volume theories?

This post imported from StackExchange Physics at 2016-11-26 08:49 (UTC), posted by SE-user Andrew Feldman