A commutant realization of script W signn(2) at critical level

Creutzig T, Gao P, Linshaw AR (2014)

Publication Type: Journal article

Publication year: 2014

Journal

International Mathematics Research Notices Oxford University Press (OUP): Policy H - Oxford Open Option A

Book Volume: 2014

Pages Range: 577-609

Journal Issue: 3

DOI: 10.1093/imrn/rns229

Abstract

For n≥2, there is a free field realization of the affine vertex superalgebra associated to at critical level inside the bcβγ system of rank n². We show that the commutant is purely bosonic and is freely generated by n+1 fields. We identify the Zhu algebra of with the ring of invariant differential operators on the space of n×n matrices under SLn×SLn, and we classify the irreducible, admissible -modules with finite-dimensional graded pieces. For n≤4, is isomorphic to the -algebra at critical level, and we conjecture that this holds for all n. © The Author(s) 2012. Published by Oxford University Press. All rights reserved.

Involved external institutions

Technische Universität Darmstadt

Germany (DE) State University of New York at Albany (UNY Albany / UAlbany)

United States (USA) (US) Brandeis University

United States (USA) (US)

How to cite

APA:

Creutzig, T., Gao, P., & Linshaw, A.R. (2014). A commutant realization of script W signn(2) at critical level. International Mathematics Research Notices, 2014(3), 577-609. https://doi.org/10.1093/imrn/rns229

MLA:

Creutzig, Thomas, Peng Gao, and Andrew R. Linshaw. "A commutant realization of script W signn(2) at critical level." International Mathematics Research Notices 2014.3 (2014): 577-609.

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