Background harmonic superfields in \(N=2\) supergravity
type: Item
instance of: scholarly article
title: Background harmonic superfields in \(N=2\) supergravity
zbMATH Open document ID: 0919.53038
DOI: 10.1007/BF02557138
published in: Theoretical and Mathematical Physics
publication date: 1999-08-26T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-th/9803202
review text: The author considers the problem of background supersymmetry in the harmonic formalism for \(D=4\) \(N=2\) supergravity (SG\(^{N=2}_{D=4}\)) in the superfield approach. Such a background supersymmetry emerges in the perturbation expansion of the SG\(^{N=2}_{D=4}\) action in powers of the gravitational constant. Imposition of the covariance with respect to this supersymmetry enables the author to give solutions of the harmonic constraints in the SG\(^{N=2}_{D=4}\). Moreover, using harmonic formalism he constructs iteratively the superfield action of the theory (where the leading term is the quadratic action of the linearized theory). Finally, it is suggested how the method considered in the paper can be used for the superfield quantization of \(N=2\) supergravity in the flat background superspace.
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 83E50
zbMATH DE Number: 1238090
zbMATH Keywords: \(N=2\) supergravity
zbMATH Keywords: harmonic superspace
zbMATH Keywords: superfield method
zbMATH Keywords: perturbative approach
author: B. M. Zupnik
reviewed by: Andrzej Frydryszak
MaRDI profile type: Publication
arXiv ID: hep-th/9803202
cites work: Linearized \(N=2\) superfield supergravity
cites work: Q3825718
cites work: Harmonic supergraphs: Green functions
cites work: N=2 supergravity in superspace: solution to the constraints and the invariant action
cites work: N=2 supergravity in superspace: different versions and matter couplings
cites work: Superspace. One thousand and one lessons in supersymmetry. With a foreword by David Pines
cites work: Harmonic-superspace integrability of \(N=1\), \(D=6\) supersymmetric gauge theory
cites work: Induced hypermultiplet self-interactions in \(N=2\) gauge theories
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description: scientific article