On type 2 superstrings in bosonic backgrounds and their T duality relation

We derive the actions for type II Green-Schwarz strings up to second order in the fermions, for general bosonic backgrounds. We base our work on the so-called normal coordinate expansion. The resulting actions are

\kappa

-symmetric and, for the case of surviving background supersymmetries, supersymmetric. We first obtain the type IIa superstring action from the 11D supermembrane by double dimensional reduction. Then, by means of a generalization of T-duality we derive the type IIb superstring action. The resulting actions are surprisingly simple and elegant.

string model
supersymmetry
dimension: 10
background field: boson
field theory: action
T-duality
membrane model: D-brane
dimension: 11
kappa symmetry
dimensional reduction

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