paper

Higher Spin Double Field Theory : A Proposal

arXiv:1605.00403 · doi:10.1007/JHEP07(2016)062

Abstract

We construct a double field theory coupled to the fields present in Vasiliev's equations. Employing the "semi-covariant" differential geometry, we spell a functional in which each term is completely covariant with respect to T-duality, doubled diffeomorphisms, local Lorentz symmetry and, separately, higher spin gauge symmetry. We identify a minimal set of BPS-like conditions whose solutions automatically satisfy the full Euler-Lagrange equations. As such a solution, we derive a linear dilaton vacuum. With extra algebraic constraints further supplemented, the BPS-like conditions reduce to the bosonic Vasiliev equations.

1+52 pages. v3) Eq.(2.57) added. To appear in JHEP

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