$\mathcal{N}=1$ SUGRA Noether Charges

TL;DR

This paper proposes a generic set of boundary conditions for $ abla=1$ supergravity that equate Hamiltonian charges with Noether charges, including supercharges, clarifying the charge structure in this theory.

Contribution

It introduces a new boundary condition framework for $ abla=1$ supergravity ensuring Hamiltonian and Noether charges coincide, including supercharges.

Findings

Boundary conditions unify Hamiltonian and Noether charges.

Supercharges are explicitly included in the charge equivalence.

Framework applies to generic $ abla=1$ supergravity setups.

Abstract

In this work a generic set of boundary conditions for $\mathcal{N}=1$ SUGRA is proposed. This conditions defines that Hamiltonian charges equals Noether ones, including supercharge.