M5-brane in the superspace approach

Motivated by Sen's spacetime prescription for the construction of theories with self-dual field strengths, we present a rigid superspace Lagrangian describing noninteracting tensor multiplets living on stack M5-branes and containing all physical constraints fields, yielding on-shell matching degrees freedom. The geometric approach adopted here offers natural realization superdiffeomorphisms is particularly well suited coupling to supergravity. However, within this formulation (anti-)self-duality property 3-form strengths lost when trivially restricted spacetime. We propose two main paths address issue: first-order extension results, which, once spacetime, yields dynamical equations including constraint possible way obtain full description theory, based integral forms.