Abstract
We construct, in D=3,4,6 and 10 space-time dimensions, supersymmetric Lagrangians for free massless higher spin fields which belong to reducible representations of the Poincaré group. The fermionic part of these models consists of spinor-tensor fields which are totally symmetrical with respect to their tensor indices, while the bosonic part contains totally symmetric tensor fields as well as the simplest mixed-symmetry fields. A peculiar feature of these models is that they describe higher- and lower-spin supermultiplets in different dimensions in a uniform way.
Highlights
Understanding the relation between string theory and higher spin gauge theory remains a challenging problem
Further connection between string theory and higher spin gauge theory is provided by the fact that AdS spaces, which are natural backgrounds for interacting higher spin gauge theories, play an important role in string theory as the geometric basis for the AdS/CFT correspondence
We show how the triplets decompose into various representations of the corresponding D-dimensional supersymmetry algebra which closes on-shell and is not plagued by the problem of picture changing
Summary
Understanding the relation between string theory and higher spin gauge theory remains a challenging problem. The systems contain pure gauge and auxiliary fields (not to be confused with those of the off-shell supermultiplets) To find these supersymmetric higher-spin systems, their supersymmetry transformations and Lagrangians, we will use the fact that the fermionic and bosonic triplets (either generilized or not) can be obtained from the Ramond-Neveu-Schwarz Open String Field Theory by formally taking its tensionless limit [32]. They consist of a fermionic triplets (spinor fields which are symmetric tensors of the Lorentz group) and generalized bosonic triplets containing symmetric tensors and fields of the simplest mixed symmetry of the Y (s − 1, 1) type. In conclusion we discuss open problems and possible developments of our results
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