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T-Duality in the Green-Schwarz Formalism, and the Massless/Massive IIA Duality Map by Cvetic, M.; Lu, H.; Pope, C. N.; Stelle, K. S. is a scholarly article available to read on EtoBox.

What is T-Duality in the Green-Schwarz Formalism, and the Massless/Massive IIA Duality Map about?

We derive a component-field expansion of the Green-Schwarz action for the type IIA string, in an arbitrary background of massless NS-NS and R-R bosonic fields, up to quadratic order in the fermionic coordinates \theta. Using this action, we extend the usual derivation of Buscher T-duality rules to include not only NS-NS, but also R-R fields. Our implementation of the T-duality transformation rules makes use of adapted background-field parametrizations, which provide a more geometrically natural and elegant description for the duality maps than the ones previously presented. These T-duality rules allow us to derive the Green-Schwarz action for the type IIB string in an arbitrary background of massless NS-NS and R-R bosonic fields, up to O(\theta^2). Implemention of another T-duality transformation on this type IIB action then allows us also to derive the Green-Schwarz action for the massive IIA string. By further considering T-duality transformations for backgrounds with the two U(1) isometries of a 2-torus, we give a string-theoretic derivation of the direct T-duality relation between the massless and massive type IIA strings. In addition, we give an explicit construction of the D=

Author

Cvetic, M.; Lu, H.; Pope, C. N.; Stelle, K. S.

Published

1999

Language

EN