Canonical quantization of supergravity

D’Eath, P. D.

doi:10.1103/physrevd.29.2199

Cited by 88 publications

(232 citation statements)

References 25 publications

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“…On the other hand, in supergravity the Bianchi class A models seem to have the same kind of state as was pointed out by D'Eath, Hawking and Obregón [6] and for the Bianchi IX case D'Eath [7] proved that only the term exp(−I) is permitted in the wave funtion.…”

Section: Introductionmentioning

confidence: 57%

“…Graham found, as Ryan and Moncrief proved and is also connected to the state obtained by means of supergravity [6,7]. This state could be understood as the wormhole quantum state [7,9,10].…”

Section: Discussionmentioning

confidence: 91%

“…This state appears as related to the wormhole ground state [6,7,9]. It is also present in the full theory of supergravity N = 1 [10].…”

Section: Introductionmentioning

confidence: 99%

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Bianchi cosmologies: New variables and a hidden supersymmetry

1993

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We find a supersymmetrization of the Bianchi IX cosmology in terms of Ashtekar's new variables. This provides a framework for connecting the recent results of Graham and those of Ryan and Moncrief for quantum states of this model. These states are also related with the states obtained particularizing supergravity for a minisuperspace. Implications for the general theory are also briefly discussed.

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Section: Introductionmentioning

confidence: 57%

Section: Discussionmentioning

confidence: 91%

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Bianchi cosmologies: New variables and a hidden supersymmetry

1993

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“…The study of N = 1 supergravity models has been limited so far to minisuperspace models [5,6,7,8,9,10,11,12] as direct generalizations of quantum cosmology models. The standard approach to quantum cosmology consists in canonically quantizing a minisuperspace model which is obtained by imposing certain symmetry conditions on the metrics allowed on the spacelike slices of the universe.…”

Section: Introductionmentioning

confidence: 99%

Gowdy T3 Cosmological Models in N = 1 Supergravity

Macı́as

Quevedo

Sánchez³

2006

AIP Conference Proceedings

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We investigate the canonical quantization of supergravity N = 1 in the case of a midisuperspace described by Gowdy T 3 cosmological models. The quantum constraints are analyzed and the wave function of the universe is derived explicitly. Unlike the minisuperspace case, we show the existence of physical states in midisuperspace models. The analysis of the wave function of the universe leads to the conclusion that the classical curvature singularity present in the evolution of Gowdy models is removed at the quantum level due to the presence of the Rarita-Schwinger field.File: gowsg2.tex; 30.03.2005

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“…Hence, we have a canonical formulation of N=1 supergravity which constitutes a (Dirac) like square root of gravity [3,4,5]. Quantum wormhole and Hartle-Hawking solutions were found in minisuperspaces for pure N=1 supergravity [8,[11][12][13][14][15]18,19,36,37,39] but the former state is absent in the literature 2 , for pure gravity cases [1,9,16,[28][29][30].…”

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confidence: 99%

Is there a problem with quantum wormhole states inN=1 supergravity?

Moniz¹

1996

Gen Relat Gravit

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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.

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Canonical quantization of supergravity

Cited by 88 publications

References 25 publications

Bianchi cosmologies: New variables and a hidden supersymmetry

Bianchi cosmologies: New variables and a hidden supersymmetry

Gowdy T3 Cosmological Models in N = 1 Supergravity

Is there a problem with quantum wormhole states inN=1 supergravity?

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