Supersymmetric extension of the Carrollian Dp-brane

Establish a supersymmetric extension with worldvolume fermions of the electric and magnetic Carrollian Dp-brane theories obtained through the Polyakov–Kaluza–Klein reduction of the O(F^2)-truncated Dp+1-brane theory.

Background

The paper constructs electric and magnetic Carrollian Dp-brane theories by applying a single-mode Kaluza–Klein-like null reduction, a Carrollian contraction, and a Dirac constraint analysis to the Polyakov formulation of an O(F^2)-truncated Dp+1-brane theory. The resulting systems retain an auxiliary worldvolume frame during constraint classification and include a worldvolume U(1) gauge sector alongside transverse embedding scalars.

The constructed theories are purely bosonic. A supersymmetric completion would need to incorporate worldvolume fermions consistently with the Carrollian limit, the reduced U(1) sector, the auxiliary-frame constraint structure, and the distinct electric and magnetic Hamiltonian families. The paper explicitly identifies this extension as an unresolved problem.