4D N = 2 supergravity and projective superspace

Sergei M. Kuzenko, U. Lindstrom, M. Rocek, Gabriele Tartaglino-Mazzucchelli

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Abstract

This paper presents a projective superspace formulation for 4D N = 2 matter-coupled supergravity. We first describe a variant superspace realization for the N = 2 Weyl multiplet. It differs from that proposed by Howe in 1982 by the choice of the structure group SO(3, 1) x SU(2) versus SO(3, 1) x U( 2)), which implies that the super-Weyl transformations are generated by a covariantly chiral parameter instead of a real unconstrained one. We introduce various off-shell supermultiplets which are curved superspace analogues of the superconformal projective multiplets in global supersymmetry and which describe matter fields coupled to supergravity. A manifestly locally supersymmetric and super-Weyl invariant action principle is given. Off-shell locally supersymmetric nonlinear sigma models are presented in this new superspace.
Original languageEnglish
Pages (from-to)ARTN 051
JournalJournal of High Energy Physics
Volume2008
Issue number9
DOIs
Publication statusPublished - 2008

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Kuzenko, Sergei M. ; Lindstrom, U. ; Rocek, M. ; Tartaglino-Mazzucchelli, Gabriele. / 4D N = 2 supergravity and projective superspace. In: Journal of High Energy Physics. 2008 ; Vol. 2008, No. 9. pp. ARTN 051.
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Kuzenko, SM, Lindstrom, U, Rocek, M & Tartaglino-Mazzucchelli, G 2008, '4D N = 2 supergravity and projective superspace' Journal of High Energy Physics, vol. 2008, no. 9, pp. ARTN 051. https://doi.org/10.1088/1126-6708/2008/09/051

4D N = 2 supergravity and projective superspace. / Kuzenko, Sergei M.; Lindstrom, U.; Rocek, M.; Tartaglino-Mazzucchelli, Gabriele.

In: Journal of High Energy Physics, Vol. 2008, No. 9, 2008, p. ARTN 051.

Research output: Contribution to journalArticle

TY - JOUR

T1 - 4D N = 2 supergravity and projective superspace

AU - Kuzenko, Sergei M.

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AU - Rocek, M.

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AB - This paper presents a projective superspace formulation for 4D N = 2 matter-coupled supergravity. We first describe a variant superspace realization for the N = 2 Weyl multiplet. It differs from that proposed by Howe in 1982 by the choice of the structure group SO(3, 1) x SU(2) versus SO(3, 1) x U( 2)), which implies that the super-Weyl transformations are generated by a covariantly chiral parameter instead of a real unconstrained one. We introduce various off-shell supermultiplets which are curved superspace analogues of the superconformal projective multiplets in global supersymmetry and which describe matter fields coupled to supergravity. A manifestly locally supersymmetric and super-Weyl invariant action principle is given. Off-shell locally supersymmetric nonlinear sigma models are presented in this new superspace.

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