Second level semi-degenerate fields in W3 Toda theory: matrix element and differential equation
In: ISSN: 1126-6708, 2017
academicJournal
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22 pages. Published JHEP version: Typos corrected, references added. Section 5.2.3 added ; International audience ; In a recent study we considered W3 Toda 4-point functions that involve matrix elements of a primary field with the highest-weight in the adjoint representation of sl3. We generalize this result by considering a semi-degenerate primary field, which has one null vector at level two. We obtain a sixth-order Fuchsian differential equation for the conformal blocks. We discuss the presence of multiplicities, the matrix elements and the fusion rules.
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Second level semi-degenerate fields in W3 Toda theory: matrix element and differential equation
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Autor/in / Beteiligte Person: | Belavin, Vladimir ; Cao, Xiangyu ; Estienne, Benoit ; Santachiara, Raoul ; P. N. Lebedev Physical Institute of the Russian Academy of Sciences Moscow (LPI RAS) ; Russian Academy of Sciences Moscow (RAS) ; Institute for Information Transmission Problems (IITP) ; Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS) ; Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS) ; Laboratoire de Physique Théorique et Hautes Energies (LPTHE) ; Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS) |
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Zeitschrift: | ISSN: 1126-6708, 2017 |
Veröffentlichung: | HAL CCSD ; Springer, 2017 |
Medientyp: | academicJournal |
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