T-Duality in the Green-Schwarz Formalism, and the Massless/Massive IIA Duality Map

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dc.creatorCvetic, M.
dc.creatorLu, H.
dc.creatorPope, C. N.
dc.creatorStelle, K. S.
dc.date1999-07-27
dc.date2002-08-22
dc.date.accessioned2026-07-07T10:34:26Z
dc.date.available2026-07-07T10:34:26Z
dc.descriptionWe 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 θ. 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(θ^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.
dc.descriptionLatex, 34 pages. Minor typographical corrections, and various improvements to notation and conventions. Detailed discussion of changes given in Addendum section
dc.identifierhttps://arxiv.org/abs/hep-th/9907202
dc.identifierhttp://arxiv.org/abs/hep-th/9907202
dc.identifierNucl.Phys.B573:149-176,2000
dc.identifierdoi:10.1016/S0550-3213(99)00740-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179470
dc.subjectHigh Energy Physics - Theory
dc.titleT-Duality in the Green-Schwarz Formalism, and the Massless/Massive IIA Duality Map
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