T-duality in the Green-Schwarz formalism, and the massless/massive IIA duality map
File(s)
Accepted version
Author(s)
Cvetic, M
Lu, H
Pope, CN
Stelle, KS
Type
Journal Article
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 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(θ2). Implementation 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 invariant supergravity with two mass parameters that form a doublet under the SL(2,R) factor.
Date Issued
2000-05-01
Date Acceptance
1999-11-23
Citation
Nuclear Physics B, 2000, 573 (1-2), pp.149-176
ISSN
0550-3213
Publisher
Elsevier
Start Page
149
End Page
176
Journal / Book Title
Nuclear Physics B
Volume
573
Issue
1-2
Copyright Statement
© 2000 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000086600900009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
11-DIMENSIONAL SUPERGRAVITY
SUPERSPACE
SUPERMEMBRANES
SUPERSTRINGS
BACKGROUNDS
Publication Status
Published
Date Publish Online
2000-04-12