INVARIANT SUBALGEBRAS OF THE SMALL N = 4 SUPERCONFORMAL ALGEBRA

Creutzig T, Linshaw AR, Riedler W (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Transformation Groups Springer Verlag (Germany)

DOI: 10.1007/s00031-021-09652-1

Abstract

Various aspects of orbifolds and cosets of the small N = 4 superconformal algebra are studied First, we determine minimal strong generators for generic and specific levels As a corollary, we obtain the vertex algebra of global sections of the chiral de Rham complex on any complex Enriques surface We also identify orbifolds of cosets of the small N = 4 superconformal algebra with Com (Vl(sl2); Vl+1(sl2) W-5=2(sl4; frect)) and in addition at special levels with Grassmanian cosets and principal W-algebras of type A at degenerate admissible levels These coincidences lead us to a novel level-rank duality involving Grassmannian supercosets.

Involved external institutions

University of Alberta CA Canada (CA) University of Denver US United States (USA) (US)

How to cite

APA:

Creutzig, T., Linshaw, A.R., & Riedler, W. (2021). INVARIANT SUBALGEBRAS OF THE SMALL N = 4 SUPERCONFORMAL ALGEBRA. Transformation Groups. https://doi.org/10.1007/s00031-021-09652-1

MLA:

Creutzig, Thomas, Andrew R. Linshaw, and Wolfgang Riedler. "INVARIANT SUBALGEBRAS OF THE SMALL N = 4 SUPERCONFORMAL ALGEBRA." Transformation Groups (2021).

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