More stringy effects in target space from Double Field Theory

Abstract In Double Field Theory, the mass-squared of doubled fields associated with bosonic closed string states is proportional to N L + N R − 2. Massless states are therefore not only the graviton, anti-symmetric, and dilaton fields with (N L = 1, N R = 1) such theory is focused on, but also the s...

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Main Authors: Chen-Te Ma, Franco Pezzella
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP08(2020)113
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author Chen-Te Ma
Franco Pezzella
author_facet Chen-Te Ma
Franco Pezzella
author_sort Chen-Te Ma
collection DOAJ
description Abstract In Double Field Theory, the mass-squared of doubled fields associated with bosonic closed string states is proportional to N L + N R − 2. Massless states are therefore not only the graviton, anti-symmetric, and dilaton fields with (N L = 1, N R = 1) such theory is focused on, but also the symmetric traceless tensor and the vector field relative to the states (N L = 2, N R = 0) and (N L = 0, N R = 2) which are massive in the lower-dimensional non-compactified space. While they are not even physical in the absence of compact dimensions, they provide a sample of states for which both momenta and winding numbers are non-vanishing, differently from the states (N L = 1, N R = 1). A quadratic action is therefore here built for the corresponding doubled fields. It results that its gauge invariance under the linearized double diffeomorphisms is based on a generalization of the usual weak constraint, giving rise to an extra mass term for the symmetric traceless tensor field, not otherwise detectable: this can be interpreted as a mere stringy effect in target space due to the simultaneous presence of momenta and windings. Furthermore, in the context of the generalized metric formulation, a non-linear extension of the gauge transformations is defined involving the constraint extended from the weak constraint that can be uniquely defined in triple products of fields. Finally, we show that the above mentioned stringy effect does not appear in the case of only one compact doubled space dimension.
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spelling doaj.art-9b4aad68cc63467db3f4429d437754332022-12-22T00:22:33ZengSpringerOpenJournal of High Energy Physics1029-84792020-08-012020811510.1007/JHEP08(2020)113More stringy effects in target space from Double Field TheoryChen-Te Ma0Franco Pezzella1Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal UniversityIstituto Nazionale di Fisica Nucleare — Sezione di Napoli, Complesso Universitario di Monte S. Angelo ed. 6Abstract In Double Field Theory, the mass-squared of doubled fields associated with bosonic closed string states is proportional to N L + N R − 2. Massless states are therefore not only the graviton, anti-symmetric, and dilaton fields with (N L = 1, N R = 1) such theory is focused on, but also the symmetric traceless tensor and the vector field relative to the states (N L = 2, N R = 0) and (N L = 0, N R = 2) which are massive in the lower-dimensional non-compactified space. While they are not even physical in the absence of compact dimensions, they provide a sample of states for which both momenta and winding numbers are non-vanishing, differently from the states (N L = 1, N R = 1). A quadratic action is therefore here built for the corresponding doubled fields. It results that its gauge invariance under the linearized double diffeomorphisms is based on a generalization of the usual weak constraint, giving rise to an extra mass term for the symmetric traceless tensor field, not otherwise detectable: this can be interpreted as a mere stringy effect in target space due to the simultaneous presence of momenta and windings. Furthermore, in the context of the generalized metric formulation, a non-linear extension of the gauge transformations is defined involving the constraint extended from the weak constraint that can be uniquely defined in triple products of fields. Finally, we show that the above mentioned stringy effect does not appear in the case of only one compact doubled space dimension.http://link.springer.com/article/10.1007/JHEP08(2020)113Bosonic StringsFlux compactificationsString DualityString Field Theory
spellingShingle Chen-Te Ma
Franco Pezzella
More stringy effects in target space from Double Field Theory
Journal of High Energy Physics
Bosonic Strings
Flux compactifications
String Duality
String Field Theory
title More stringy effects in target space from Double Field Theory
title_full More stringy effects in target space from Double Field Theory
title_fullStr More stringy effects in target space from Double Field Theory
title_full_unstemmed More stringy effects in target space from Double Field Theory
title_short More stringy effects in target space from Double Field Theory
title_sort more stringy effects in target space from double field theory
topic Bosonic Strings
Flux compactifications
String Duality
String Field Theory
url http://link.springer.com/article/10.1007/JHEP08(2020)113
work_keys_str_mv AT chentema morestringyeffectsintargetspacefromdoublefieldtheory
AT francopezzella morestringyeffectsintargetspacefromdoublefieldtheory