Is there a problem with quantum wormhole states in N=1 Supergravity?

TL;DR

This paper investigates the existence and mathematical structure of quantum wormhole states in N=1 supergravity models, highlighting issues with their presence and proposing a framework for their Hilbert space formulation.

Contribution

It identifies factors affecting wormhole states in supergravity and proposes a Hilbert space structure for supersymmetric quantum wormholes.

Findings

Wormhole states are absent in certain supergravity models.

A Hartle-Hawking type solution can be constructed with scalar-dependent terms.

The choice of Lagrange multipliers and fermionic ordering influences wormhole solutions.

Abstract

The issue concerning the existence of wormhole states in locally supersymmetric minisuperspace models with matter is addressed. Wormhole states are apparently absent in models obtained from the more general theory of N=1 supergravity with supermatter. A Hartle-Hawking type solution can be found, even though some terms (which are scalar field dependent) cannot be determined in a satisfactory way. A possible cause is investigated here. As far as the wormhole situation is concerned, we argue here that the type of Lagrange multipliers and fermionic derivative ordering used can make a difference. A proposal is made for supersymmetric quantum wormholes to also be invested with a Hilbert space structure, associated with a maximal analytical extension of the corresponding minisuperspace.is concerned, we argue here that the type of Lagrange multipliers and fermionic derivative ordering used can make a difference. A proposal is made for supersymmetric quantum wormholes to also be invested with a Hilbert space structure, associated with a maximal analytical extension of the corresponding minisuperspace.