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dc.contributor.author
Giribet, Gaston Enrique
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dc.date.available
2021-11-26T19:18:35Z
dc.date.issued
2019-12
dc.identifier.citation
Giribet, Gaston Enrique; A note on the spectral flow operator; American Physical Society; Physical Review D: Particles, Fields, Gravitation and Cosmology; 100; 12; 12-2019; 1-17
dc.identifier.issn
2470-0029
dc.identifier.uri
http://hdl.handle.net/11336/147560
dc.description.abstract
The insertion of the spectral flow operator in a string scattering amplitude on AdS3×N produces a change in the winding number of one of the incoming (or outgoing) states, making it possible to compute amplitudes of processes in which the winding number in AdS3 is not conserved. The insertion of such an operator, however, might seem artificial from the world sheet theory perspective, as it appears as an unintegrated vertex operator of conformal dimension zero that does not represent any normalizable state. Here, we show that the spectral flow operator naturally emerges in the Liouville field theory description of the Wess-Zumino-Witten (WZW) correlation functions once it is combined with a series of duality relations among conformal integrals. By considering multiple insertions of spectral flow operators, we study the dependence on the moduli for an arbitrary number of them, and we show explicitly that the amplitude does not depend on the specific locations of the accessory insertions in the world sheet, as required by consistency. This generalizes previous computations in which particular cases were considered. This can also be thought of as an alternative proof of the WZW-Liouville correspondence in the case of maximally winding-violating correlators.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
String theory
dc.subject
AdS spacetime
dc.subject.classification
Física de Partículas y Campos
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
A note on the spectral flow operator
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-11-20T15:56:00Z
dc.journal.volume
100
dc.journal.number
12
dc.journal.pagination
1-17
dc.journal.pais
Estados Unidos
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dc.description.fil
Fil: Giribet, Gaston Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Abdus Salam International Centre for Theoretical Physics; Italia
dc.journal.title
Physical Review D: Particles, Fields, Gravitation and Cosmology
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prd/abstract/10.1103/PhysRevD.100.126007
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1103/PhysRevD.100.126007
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1907.04439
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