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T-Duality in the Green-Schwarz Formalism, and the Massless/Massive IIA Duality Map | | M. Cvetic
; H. Lu
; C.N. Pope
; K.S. Stelle
; | | Date: |
28 Jul 1999 | | Journal: | Nucl.Phys. B573 (2000) 149-176 | | Subject: | hep-th | | Abstract: | 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 heta. 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( heta^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=8 SL(3,R)xSL(2,R) invariant supergravity with two mass parameters that form a doublet under the SL(2,R) factor. | | Source: | arXiv, hep-th/9907202 | | Services: | Forum | Review | PDF | Favorites | |
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