Lightlike reduction of the M5 brane

We obtain a Lagrangian for a lightlike dimensional reduction of the nonabelian M5 brane theory in six dimension. We assume that the six-manifold has at least one conformal Killing spinor and two commuting lightlike Killing vector fields, and we perform the dimensional reduction along one of these lightlike directions.

Automated summary

We derive a Lagrangian for a lightlike dimensional reduction of the nonabelian M5 brane theory in six dimension, assuming the six-manifold possesses at least one conformal Killing spinor and two commuting lightlike Killing vector fields. The reduction is performed along one of these lightlike directions.