Higher Spin Double Field Theory : A Proposal

Understand

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 $\mathbf{O}(4,4)$ T-duality, doubled diffeomorphisms, $\mathbf{Spin}(1,3)$ local Lorentz symmetry and, separately, $\mathbf{HS}(4)$ 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.