Higher Spins from Nonlinear Realizations of $OSp(1|8)$

Abstract

We exhibit surprising relations between higher spin theory and nonlinear realizations of the supergroup $OSp(1|8)$, a minimal superconformal extension of N=1, 4D supersymmetry with tensorial charges. We construct a realization of $OSp(1|8)$ on the coset supermanifold $OSp(1|8)/SL(4,R)$ which involves the tensorial superspace $R^{(10|4)}$ and Goldstone superfields given on it. The covariant superfield equation encompassing the component ones for all integer and half-integer massless higher spins amounts to the vanishing of covariant spinor derivatives of the suitable Goldstone superfields, and, via Maurer-Cartan equations, to the vanishing of $SL(4,R)$ supercurvature in odd directions of $R^{(10|4)}$. Aiming at higher spin extension of the Ogievetsky-Sokatchev formulation of N=1 supergravity, we generalize the notion of N=1 chirality and construct first examples of invariant superfield actions involving a non-trivial interaction. Some other potential implications of $OSp(1|8)$ in the proposed setting are briefly outlined.

LaTeX, 13 pages. Minor, mostly typographic corrections. Version which appears in Physics Letters B

References in corpus (5)

• Nonlinear higher spin theories in various dimensions
• Dynamics of Higher Spin Fields and Tensorial Space
• Superfield Theories in Tensorial Superspaces and the Dynamics of Higher Spin Fields
• Higher-Spin Theories and $Sp(2M)$ Invariant Space--Time
• GL Flatness of OSp(1|2n) and Higher Spin Field Theory from Dynamics in Tensorial Spaces

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