Elsevier

Nuclear Physics B

Volume 137, Issue 3, 22 May 1978, Pages 333-339
Nuclear Physics B

N = 4 supergravity theory with local SU(2) × SU(2) invariance

https://doi.org/10.1016/0550-3213(78)90526-6Get rights and content

Abstract

N = 4 supergravity theory has been formulated in two different equivalent forms, which may be expected to become inequivalent when the internal symmetry is gauged. The extension of the first form to include local SO(4) internal symmetry is known. In this paper the extension of the second form to local SU(2) × SU(2) invariance is given, and is indeed inequivalent to the first form. The second form is in general parity non-conserving, while both forms have scalar field potentials that are unbounded from below.

References (9)

  • F. Gliozzi et al.

    Nucl. Phys.

    (1977)
    L. Brink et al.

    Nucl. Phys.

    (1977)
    J.H. Schwarz

    Caltech preprint CALT-68-637

    (1978)
  • E. Cremmer et al.

    Phys. Lett.

    (1978)
  • D.Z. Freedman et al.

    Nucl. Phys.

    (1977)
  • E.S. Fradkin and M. Vasiliev, Lebedev Institute...
There are more references available in the full text version of this article.

Cited by (153)

  • Gauged supergravities

    2017, Physics Reports
    Citation Excerpt :

    The way in which the notion of gauged supergravities has been introduced in our discussion should not lead the reader to the incorrect conclusion that these models were first derived from flux-compactifications. Historically the very first instances of gauged extended supergravities were constructed soon after the discovery of supergravity itself, see for instance [147–149]. These early examples already exhibited some of the generic features of this type of locally supersymmetric models such as fermion masses, spontaneous supersymmetry breaking and a scalar potential (or a cosmological constant when scalars were not present).

  • The Rubakov-Callan scattering on the supergravity monopole

    2011, Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
  • Quantum cosmology: Susys stage

    2013, International Journal of Modern Physics D
  • Ren-integrable and ren-symmetric integrable systems

    2024, Communications in Theoretical Physics
View all citing articles on Scopus

Work supported in part by the U.S. Department of Energy, under Contract No. EY76-C-03-0068.

∗∗

On leave of absence from State University of New York, Stony Brook, NY 11794, USA.Suppoted in part by the National Science Foundation Grant No. PHY-76-15328.

View full text