Type II chiral affine Lie algebras and string actions in doubled space

Abstract

We present affine Lie algebras generated by the supercovariant derivatives and the supersymmetry generators for the left and right moving modes in the doubled space. Chirality is manifest in our doubled space as well as the T-duality symmetry. We present gauge invariant bosonic and superstring actions preserving the two-dimensional diffeomorphism invariance and the kappa-symmetry where doubled spacetime coordinates are chiral fields. The doubled space becomes the usual space by dimensional reduction constraints.

32 pages. References added

References in corpus (7)

• Double Field Theory
• Generalised Geometry for M-Theory
• Doubled Geometry and T-Folds
• Ramond-Ramond Cohomology and O(D,D) T-duality
• Superspace with manifest T-duality from type II superstring
• Ramond-Ramond gauge fields in superspace with manifest T-duality
• T-duality off shell in 3D Type II superspace

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• O(D,D) gauge fields in the T-dual string Lagrangian
• Perturbative F-theory 10-brane and M-theory 5-brane
• On section conditions of E7(7) exceptional field theory and superparticle in N=8 central charge superspace
• Manifestly T-dual formulation of AdS space
• Perturbative quantization of Yang-Mills theory with classical double as gauge algebra