An O(D,D) Invariant Hamiltonian Action for the Superstring

Understand

We construct O(D,D) invariant actions for the bosonic string and RNS superstring, using Hamiltonian methods and ideas from double field theory.

• In this framework the doubled coordinates of double field theory appear as coordinates on phase space and T-duality becomes a canonical transformation.
• Requiring the algebra of constraints to close leads to the section condition, which splits the phase space coordinates into spacetime coordinates and momenta.