Supersymmetric higher spin theories

Ergin Sezgin, Per Sundell

Resultado de la investigación: Article

25 Citas (Scopus)

Resumen

We revisit the higher spin extensions of the anti de Sitter algebra in four dimensions that incorporate internal symmetries and admit representations that contain fermions, classified long ago by Konstein and Vasiliev. We construct the dS4, Euclidean and Kleinian version of these algebras, as well as the corresponding fully nonlinear Vasiliev type higher spin theories, in which the reality conditions we impose on the master fields play a crucial role. The N = 2 supersymmetric higher spin theory in dS4, on which we elaborate further, is included in this class of models. A subset of the Konstein-Vasiliev algebras are the minimal higher spin extensions of the AdS4 superalgebra with osp(4|N) with N = 1, 2, 4 mod 4, whose R-symmetry can be realized using fermionic oscillators. We tensor these algebras with appropriate internal symmetry algebras, namely u(n) for N = 2 mod 4 and so(n) or usp(n) for N = 1, 4 mod 4. We show that the N = 3 mod 4 higher spin algebras are isomorphic to those with N = 4 mod 4. We describe the fully nonlinear higher spin theories based on these algebras, including the coupling between the adjoint and twisted-adjoint master fields. We elaborate further on N = 6 the model in AdS4, and provide two equivalent descriptions one of which exhibits manifestly its relation to the N = 8 model.

Idioma originalEnglish
Número de artículo214022
PublicaciónJournal of Physics A: Mathematical and Theoretical
Volumen46
N.º21
DOI
EstadoPublished - 31 may 2013

Huella dactilar

Algebra
algebra
Fully Nonlinear
Symmetry
symmetry
Tensor Algebra
Internal
Superalgebra
Fermions
Set theory
Euclidean
set theory
Isomorphic
Tensors
Model
fermions
oscillators
tensors
Subset

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Modelling and Simulation
  • Statistics and Probability

Citar esto

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Supersymmetric higher spin theories. / Sezgin, Ergin; Sundell, Per.

En: Journal of Physics A: Mathematical and Theoretical, Vol. 46, N.º 21, 214022, 31.05.2013.

Resultado de la investigación: Article

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