Supersymmetric Perturbations of the M5 brane

Understand

We study long-wavelength supersymmetric deformations of brane solutions in supergravity using an extension of previous ideas within the general scheme of the blackfold approach.

• As a concrete example, we consider long-wavelength perturbations of the planar M2-M5 bound state solution in eleven-dimensional supergravity.
• We propose a specific ansatz for the first order deformation of the supergravity fields and explore how this deformation perturbs the Killing spinor equations.
• We find that a special part of these equations gives a projection equation on the Killing spinors that has the same structure as the $\kappa$-symmetry condition of the abelian M5 brane theory.