Extended supersymmetry in massless conformal higher spin theory

Abstract

We propose superfield equations in tensorial N-extended superspaces to describe the N=2,4,8 supersymmetric generalizations of free conformal higher spin theories. These can be obtained by quantizing a superparticle model in N-extended tensorial superspace. The N-extended higher spin supermultiplets just contain scalar and 'spinor' fields in tensorial space so that, in contrast with the standard (super)space approach, no nontrivial generalizations of the Maxwell or Einstein equations to tensorial space appear when N>2. For N=4,8, the higher spin-tensorial components of the extended tensorial superfields are expressed through additional scalar and spinor fields in tensorial space which obey the same free higher spin equations, but that are axion-like in the sense that they possess Peccei-Quinn-like symmetries.

0ne reference added; to appear in Nucl. Phys. B. 18 pages, plain latex

References in corpus (6)

• Free massless higher-superspin superfields on the anti-de Sitter superspace
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Cited by in corpus (6)

• Conformal geometry and (super)conformal higher-spin gauge theories
• Higher Spins in Hyper-Superspace
• Higher Spins in Hyperspace
• The Schouten tensor as a connection in the unfolding of 3D conformal higher-spin fields
• Correlation Functions of Sp(2n) Invariant Higher-Spin Systems
• Induced Action for Conformal Higher Spins from Worldline Path Integrals