Supersymmetry and Nonreciprocity

Nonreciprocal theories are used to model a broad array of non-equilibrium phenomena found in nature ranging from biological systems like networks of neurons to the behavior of overflowing water fountains.

This includes systems broadly classified as active matter systems.

We show that the stochastic theories which describe nonreciprocal interactions can be mapped into quantum field theories described by a supersymmetric action with a single supercharge.

The theories are generically non-Hermitian.

This generalizes the past work of Parisi and Sourlas on reciprocal theories, which model systems with interactions derived from potentials.