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

Abstract

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.

21 pages, v2: minor changes in section 2, refs added

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Cited by in corpus (27)

• Branes are Waves and Monopoles
• The Geometry, Branes and Applications of Exceptional Field Theory
• A worldsheet supersymmetric Newton-Cartan string
• On the Non-commutativity of Closed String Zero Modes
• Local $\beta$-deformations and Yang-Baxter sigma model
• Green-Schwarz superstring on doubled-yet-gauged spacetime
• Non-commutativity and non-associativity of the doubled string in non-geometric backgrounds
• Five-brane actions in double field theory
• The Exceptional Sigma Model
• Aspects of the Doubled Worldsheet
• Doubled strings, negative strings and null waves
• Particle actions and brane tensions from double and exceptional geometry
• Old Dualities and New Anomalies
• Currents, charges and algebras in exceptional generalised geometry
• Beta functions for the duality-invariant sigma model
• New Cosmological Signatures from Double Field Theory
• T-dual Superstring Lagrangian with double zweibeins
• Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories
• T-dualization of type II superstring theory in double space
• Stringy Newton Gravity with $H$-flux
• Noncommutativity and nonassociativity of closed bosonic string on T-dual toroidal backgrounds
• Fermionic T-duality in fermionic double space
• Geometric Low-Energy Effective Action in a Doubled Spacetime
• Advantage of the second-order formalism in double space T-dualization of type II superstring
• Solution-generating transformations in duality-invariant theories and the fluid/gravity correspondence
• Classical worldvolumes as generalised geodesics
• The canonical formulation of E${}_{6(6)}$ exceptional field theory