Cosets of the Wk(Sl4, fsubreg)-algebra

Creutzig T, Linshaw AR (2018)

Publication Type: Conference contribution

Publication year: 2018

Journal

Contemporary Mathematics American Mathematical Societ

Publisher: American Mathematical Society

Book Volume: 711

Pages Range: 105-117

Conference Proceedings Title: Contemporary Mathematics

DOI: 10.1090/conm/711/14301

Abstract

Let W^k(sl4, fsubreg) be the universal W-algebra associated to sl4 with its subregular nilpotent element, and let Wk(sl4, fsubreg) be its simple quotient. There is a Heisenberg subalgebra H, and we denote by C^k the coset Com(H,W^k(sl4, fsubreg)), and by Ck its simple quotient. We show that for k = −4 + (m + 4)/3 where m is an integer greater than 2 and m + 1 is coprime to 3, Ck is isomorphic to a rational, regular W-algebra W (slm, freg). In particular, Wk(sl4, fsubreg) is a simple current extension of the tensor product of W(slm, freg) with a rank one lattice vertex operator algebra, and hence is rational.

Involved external institutions

University of Alberta

Canada (CA) University of Denver

United States (USA) (US)

How to cite

APA:

Creutzig, T., & Linshaw, A.R. (2018). Cosets of the Wk(Sl4, fsubreg)-algebra. In Contemporary Mathematics (pp. 105-117). American Mathematical Society.

MLA:

Creutzig, Thomas, and Andrew R. Linshaw. "Cosets of the Wk(Sl4, fsubreg)-algebra." Proceedings of the Contemporary Mathematics American Mathematical Society, 2018. 105-117.

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