AustralieFrV1, PascalFrancis, Curation, bibRecord, 004721

Holomorphic simplicity constraints for 4D spinfoam models

Identifieur interne : 004721 ( PascalFrancis/Curation ); précédent : 004720; suivant : 004722

Holomorphic simplicity constraints for 4D spinfoam models

Auteurs : Maïté Dupuis [France, Australie] ; Etera R. Livine [France]

Source :

Classical and quantum gravity : (Print) [ 0264-9381 ] ; 2011.

RBID : Pascal:11-0492048

Descripteurs français

Pascal (Inist)
- Modèle 4 dimensions, Théorie topologique, Gravité, Théorie SU(2), Spineur, Etat cohérent, Fonctionnelle.

English descriptors

KwdEn :
- Coherent states, Four dimensional model, Functionals, Gravity, SU(2) theory, Spinors, Topological theory.

Abstract

Within the framework of spinfoam models, we revisit the simplicity constraints reducing topological BF theory to 4D Riemannian gravity. We use the reformulation of SU(2) intertwiners and spin networks in terms of spinors, which has come out from both the recently developed U(N) framework for SU(2) intertwiners and the twisted geometry approach to spin networks and spinfoam boundary states. Using these tools, we are able to perform a holomorphic/anti-holomorphic splitting of the simplicity constraints and define a new set of holomorphic simplicity constraints, which are equivalent to the standard ones at the classical level and which can be imposed strongly on intertwiners at the quantum level. We then show how to solve these new holomorphic simplicity constraints using coherent intertwiner states. We further define the corresponding coherent spin network functionals and introduce a new spinfoam model for 4D Riemannian gravity based on these holomorphic simplicity constraints and whose amplitudes are defined from the evaluation of the new coherent spin networks.

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A11	`02`	`1`		`@1 LIVINE (Etera R.)`
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A14	`02`			`@1 School of Physics, The University of Sydney. Sydney, New South Wales 2006 @3 AUS @Z 1 aut.`
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A44				`@0 0000 @1 © 2011 INIST-CNRS. All rights reserved.`
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A64	`01`	`1`		`@0 Classical and quantum gravity : (Print)`
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C01	`01`		`ENG`	@0 Within the framework of spinfoam models, we revisit the simplicity constraints reducing topological BF theory to 4D Riemannian gravity. We use the reformulation of SU(2) intertwiners and spin networks in terms of spinors, which has come out from both the recently developed U(N) framework for SU(2) intertwiners and the twisted geometry approach to spin networks and spinfoam boundary states. Using these tools, we are able to perform a holomorphic/anti-holomorphic splitting of the simplicity constraints and define a new set of holomorphic simplicity constraints, which are equivalent to the standard ones at the classical level and which can be imposed strongly on intertwiners at the quantum level. We then show how to solve these new holomorphic simplicity constraints using coherent intertwiner states. We further define the corresponding coherent spin network functionals and introduce a new spinfoam model for 4D Riemannian gravity based on these holomorphic simplicity constraints and whose amplitudes are defined from the evaluation of the new coherent spin networks.
C02	`01`	`3`		`@0 001B00D`
C03	`01`	`X`	`FRE`	`@0 Modèle 4 dimensions @5 26`
C03	`01`	`X`	`ENG`	`@0 Four dimensional model @5 26`
C03	`01`	`X`	`SPA`	`@0 Modelo 4 dimensiones @5 26`
C03	`02`	`3`	`FRE`	`@0 Théorie topologique @5 27`
C03	`02`	`3`	`ENG`	`@0 Topological theory @5 27`
C03	`03`	`3`	`FRE`	`@0 Gravité @5 28`
C03	`03`	`3`	`ENG`	`@0 Gravity @5 28`
C03	`04`	`3`	`FRE`	`@0 Théorie SU(2) @5 29`
C03	`04`	`3`	`ENG`	`@0 SU(2) theory @5 29`
C03	`05`	`3`	`FRE`	`@0 Spineur @5 30`
C03	`05`	`3`	`ENG`	`@0 Spinors @5 30`
C03	`06`	`3`	`FRE`	`@0 Etat cohérent @5 31`
C03	`06`	`3`	`ENG`	`@0 Coherent states @5 31`
C03	`07`	`3`	`FRE`	`@0 Fonctionnelle @5 32`
C03	`07`	`3`	`ENG`	`@0 Functionals @5 32`
N21				`@1 339`
N44	`01`			`@1 OTO`
N82				`@1 OTO`

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Holomorphic simplicity constraints for 4D spinfoam models

Holomorphic simplicity constraints for 4D spinfoam models

Source :

Descripteurs français

English descriptors

Abstract

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