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Abstract:

We continue the study of hidden Z2 symmetries of the four-point sl (2) k Knizhnik-Zamolodchikov equation initiated by Giribet [Phys. Lett. B 628, 148 (2005)]. Here, we focus our attention on the four-point correlation function in those cases where one spectral flowed state of the sector ω=1 is involved. We give a formula that shows how this observable can be expressed in terms of the four-point function of non spectral flowed states. This means that the formula holding for the winding violating four-string scattering processes in AdS3 has a simple expression in terms of the one for the conservative case, generalizing what is known for the case of three-point functions, where the violating and the nonviolating structure constants turn out to be connected one to each other in a similar way. What makes this connection particularly simple is the fact that, unlike what one would naively expect, it is not necessary to explicitly solve the five-point function containing a single spectral flow operator to this end. Instead, nondiagonal functional relations between different solutions of the Knizhnik-Zamolodchikov equation turn out to be the key point for this short path to exist. Considering such functional relation is necessary but it is not sufficient; besides, the formula also follows from the relation existing between correlators in both Wess-Zumino-Novikov-Witten (WZNW) and Liouville conformal theories. © 2007 American Institute of Physics.

Registro:

Documento: Artículo
Título:Note on Z2 symmetries of the Knizhnik-Zamolodchikov equation
Autor:Giribet, G.E.
Filiación:Departamento de Física, Universidad de Buenos Aires, Pabellón I, 1428 Buenos Aires, Argentina
Año:2007
Volumen:48
Número:1
DOI: http://dx.doi.org/10.1063/1.2424789
Título revista:Journal of Mathematical Physics
Título revista abreviado:J. Math. Phys.
ISSN:00222488
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00222488_v48_n1_p_Giribet.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v48_n1_p_Giribet

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Citas:

---------- APA ----------
(2007) . Note on Z2 symmetries of the Knizhnik-Zamolodchikov equation. Journal of Mathematical Physics, 48(1).
http://dx.doi.org/10.1063/1.2424789
---------- CHICAGO ----------
Giribet, G.E. "Note on Z2 symmetries of the Knizhnik-Zamolodchikov equation" . Journal of Mathematical Physics 48, no. 1 (2007).
http://dx.doi.org/10.1063/1.2424789
---------- MLA ----------
Giribet, G.E. "Note on Z2 symmetries of the Knizhnik-Zamolodchikov equation" . Journal of Mathematical Physics, vol. 48, no. 1, 2007.
http://dx.doi.org/10.1063/1.2424789
---------- VANCOUVER ----------
Giribet, G.E. Note on Z2 symmetries of the Knizhnik-Zamolodchikov equation. J. Math. Phys. 2007;48(1).
http://dx.doi.org/10.1063/1.2424789