On even spin W infinity

Prochazka, Tomas (2020): On even spin W infinity. In: Journal of High Energy Physics, Nr. 6, 057

Abstract

We study the even spin W infinity which is a universal W -algebra for orthosymplectic series of W-algebras. We use the results of Fateev and Lukyanov to embed the algebra into W1+infinity. Choosing the generators to be quadratic in those of W1+infinity, we find that the algebra has quadratic operator product expansions. Truncations of the universal algebra include principal DrinfeId -Sokolov reductions of BC D series of simple Lie algebras, orthogonal and symplectic cosets as well as orthosymplectic Y -algebras of Gaiotto and Rapak. Based on explicit calculations we conjecture a complete list of co-dimension 1 truncations of the algebra.

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