The matrix-extended W1+infinity algebra

Eberhardt, Lorenz und Prochazka, Tomas (2019): The matrix-extended W1+infinity algebra. In: Journal of High Energy Physics, Nr. 12, 175

Abstract

We construct a quadratic basis of generators of matrix-extended W1+infinity using a generalization of the Miura transformation. This makes it possible to conjecture a closed-form formula for the operator product expansions defining the algebra. We study truncations of the algebra. An explicit calculation at low levels shows that these are parametrized in a way consistent with the gluing description of the algebra. It is perhaps surprising that in spite of the fact that the algebras are rather complicated and non-linear, the structure of their truncations follows very simple gluing rules.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 1029-8479
• Sprache: Englisch