Perturbative double field theory on general backgrounds

We develop the perturbation theory of double field theory around arbitrary solutions of its field equations. The exact gauge transformations are written in a manifestly background covariant way and contain at most quadratic terms in the field fluctuations. We expand the generalized curvature scalar...

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Publicado: 2016
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v93_n2_p_Hohm
http://hdl.handle.net/20.500.12110/paper_24700010_v93_n2_p_Hohm
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_24700010_v93_n2_p_Hohm2023-06-08T16:36:21Z Perturbative double field theory on general backgrounds We develop the perturbation theory of double field theory around arbitrary solutions of its field equations. The exact gauge transformations are written in a manifestly background covariant way and contain at most quadratic terms in the field fluctuations. We expand the generalized curvature scalar to cubic order in fluctuations and thereby determine the cubic action in a manifestly background covariant form. As a first application we specialize this theory to group manifold backgrounds, such as SU(2)≃S3 with H-flux. In the full string theory this corresponds to a Wess-Zumino-Witten background CFT. Starting from closed string field theory, the cubic action around such backgrounds has been computed before by Blumenhagen, Hassler, and Lüst. We establish precise agreement with the cubic action derived from double field theory. This result confirms that double field theory is applicable to arbitrary curved background solutions, disproving assertions in the literature to the contrary. © 2016 American Physical Society. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v93_n2_p_Hohm http://hdl.handle.net/20.500.12110/paper_24700010_v93_n2_p_Hohm
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We develop the perturbation theory of double field theory around arbitrary solutions of its field equations. The exact gauge transformations are written in a manifestly background covariant way and contain at most quadratic terms in the field fluctuations. We expand the generalized curvature scalar to cubic order in fluctuations and thereby determine the cubic action in a manifestly background covariant form. As a first application we specialize this theory to group manifold backgrounds, such as SU(2)≃S3 with H-flux. In the full string theory this corresponds to a Wess-Zumino-Witten background CFT. Starting from closed string field theory, the cubic action around such backgrounds has been computed before by Blumenhagen, Hassler, and Lüst. We establish precise agreement with the cubic action derived from double field theory. This result confirms that double field theory is applicable to arbitrary curved background solutions, disproving assertions in the literature to the contrary. © 2016 American Physical Society.
title Perturbative double field theory on general backgrounds
spellingShingle Perturbative double field theory on general backgrounds
title_short Perturbative double field theory on general backgrounds
title_full Perturbative double field theory on general backgrounds
title_fullStr Perturbative double field theory on general backgrounds
title_full_unstemmed Perturbative double field theory on general backgrounds
title_sort perturbative double field theory on general backgrounds
publishDate 2016
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v93_n2_p_Hohm
http://hdl.handle.net/20.500.12110/paper_24700010_v93_n2_p_Hohm
_version_ 1768542961946066944

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