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Abstract:

A generalization of Selberg's beta integral involving Schur polynomials associated with partitions with entries not greater than 2 is explicitly computed. The complex version of this integral is given after proving a general statement concerning the complex extensions of Selberg-Schur integrals. All these results have interesting applications in both mathematics and physics, particularly in conformal field theory, because the conformal blocks for the Wess-Zumino-Novikov-Witten model with underlying affine structure can be obtained by analytical continuation of these integrals. © 2009 Springer.

Registro:

Documento: Artículo
Título:On a Selberg-Schur integral
Autor:Iguri, S.M.
Filiación:Instituto de Astronomía y Física del Espacio (CONICET-UBA), C. C. 67, Suc. 28, 1428 Buenos Aires, Argentina
Palabras clave:Aomoto integrals; Schur polynomials; Selberg integral
Año:2009
Volumen:89
Número:2
Página de inicio:141
Página de fin:158
DOI: http://dx.doi.org/10.1007/s11005-009-0330-7
Título revista:Letters in Mathematical Physics
Título revista abreviado:Lett. Math. Phys.
ISSN:03779017
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03779017_v89_n2_p141_Iguri

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Citas:

---------- APA ----------
(2009) . On a Selberg-Schur integral. Letters in Mathematical Physics, 89(2), 141-158.
http://dx.doi.org/10.1007/s11005-009-0330-7
---------- CHICAGO ----------
Iguri, S.M. "On a Selberg-Schur integral" . Letters in Mathematical Physics 89, no. 2 (2009) : 141-158.
http://dx.doi.org/10.1007/s11005-009-0330-7
---------- MLA ----------
Iguri, S.M. "On a Selberg-Schur integral" . Letters in Mathematical Physics, vol. 89, no. 2, 2009, pp. 141-158.
http://dx.doi.org/10.1007/s11005-009-0330-7
---------- VANCOUVER ----------
Iguri, S.M. On a Selberg-Schur integral. Lett. Math. Phys. 2009;89(2):141-158.
http://dx.doi.org/10.1007/s11005-009-0330-7