Supersymmetric Dissipative Quantum Mechanics from Superstrings

TL;DR

This paper develops a supersymmetric extension of dissipative quantum mechanics inspired by superstring theory, revealing invariance under superconformal transformations and connecting to models for CPT violation in neutrinos.

Contribution

It introduces a novel supersymmetric dissipative action derived from superstring theory, expanding the framework of supersymmetric quantum mechanics.

Findings

The dissipative term is invariant under superconformal transformations.

The model provides a new example of supersymmetric dissipative quantum mechanics.

A connection to CPT violation models in neutrino physics is identified.

Abstract

Following the approach of Callan and Thorlacius applied to the superstring, we derive a supersymmetric extension of the non-local dissipative action of Caldeira and Leggett. The dissipative term turns out to be invariant under a group of superconformal transformations. When added to the usual kinetic term, it provides an example of supersymmetric dissipative quantum mechanics. As a by-product of our analysis, an intriguing connection to the homeotic/hybrid fermion model, proposed for CPT violation in neutrinos, appears.