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Baron, W.H.; Núñez, C.A. "On modular properties of the AdS3 CFT" (2011) Physical Review D - Particles, Fields, Gravitation and Cosmology. 83(10)
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Abstract:

We study modular properties of the AdS3 Wess-Zumino-Novikov- Witten model. Although the Euclidean partition function is modular invariant, the characters on the Euclidean torus diverge and the regularization proposed in the literature removes information on the spectrum and the usual one to one map between characters and representations of rational models is lost. Reconsidering the characters defined on the Lorentzian torus and focusing on their structure as distributions, we obtain expressions that recover those properties. We study their modular transformations and find a generalized S matrix, depending on the sign of the real modular parameters, which has two diagonal blocks and one off-diagonal block, mixing discrete and continuous representations, that we fully determine. We then explore the relations among the modular transformations, the fusion algebra and the boundary states. We explicitly construct Ishibashi states for the maximally symmetric D-branes and show that the generalized S matrix defines the one-point functions associated to pointlike and H2-branes as well as the fusion rules of the degenerate representations of sl(2,R) appearing in the open string spectrum of the pointlike D-branes, through a generalized Verlinde theorem. © 2011 American Physical Society.

Registro:

Documento: Artículo
Título:On modular properties of the AdS3 CFT
Autor:Baron, W.H.; Núñez, C.A.
Filiación:Instituto de Astronomía y Física Del Espacio (CONICET-UBA), C. C. 67 - Suc. 28, 1428 Buenos Aires, Argentina
Departamento de Física, FCEN, Ciudad Universitaria, Pab. I., 1428 Buenos Aires, Argentina
Año:2011
Volumen:83
Número:10
DOI: http://dx.doi.org/10.1103/PhysRevD.83.106010
Título revista:Physical Review D - Particles, Fields, Gravitation and Cosmology
Título revista abreviado:Phys Rev D Part Fields Gravit Cosmol
ISSN:15507998
CODEN:PRVDA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v83_n10_p_Baron

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Citas:

---------- APA ----------
Baron, W.H. & Núñez, C.A. (2011) . On modular properties of the AdS3 CFT. Physical Review D - Particles, Fields, Gravitation and Cosmology, 83(10).
http://dx.doi.org/10.1103/PhysRevD.83.106010
---------- CHICAGO ----------
Baron, W.H., Núñez, C.A. "On modular properties of the AdS3 CFT" . Physical Review D - Particles, Fields, Gravitation and Cosmology 83, no. 10 (2011).
http://dx.doi.org/10.1103/PhysRevD.83.106010
---------- MLA ----------
Baron, W.H., Núñez, C.A. "On modular properties of the AdS3 CFT" . Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 83, no. 10, 2011.
http://dx.doi.org/10.1103/PhysRevD.83.106010
---------- VANCOUVER ----------
Baron, W.H., Núñez, C.A. On modular properties of the AdS3 CFT. Phys Rev D Part Fields Gravit Cosmol. 2011;83(10).
http://dx.doi.org/10.1103/PhysRevD.83.106010