Double Field Theory at Order $\alpha'$

Understand

We investigate $\alpha'$ corrections of bosonic strings in the framework of double field theory.

• The previously introduced "doubled $\alpha'$-geometry" gives $\alpha'$-deformed gauge transformations arising in the Green-Schwarz anomaly cancellation mechanism but does not apply to bosonic strings.
• These require a different deformation of the duality-covariantized Courant bracket which governs the gauge structure.
• This is revealed by examining the $\alpha'$ corrections in the gauge algebra of closed string field theory.