Rationality of the Exceptional $$\mathcal {W}$$-Algebras $$\mathcal {W}_k(\mathfrak {sp}_{4},f_{subreg})$$ Associated with Subregular Nilpotent Elements of $$\mathfrak {sp}

Rationality of the Exceptional $$\mathcal {W}$$-Algebras $$\mathcal {W}_k(\mathfrak {sp}_{4},f_{subreg})$$ Associated with Subregular Nilpotent Elements of $$\mathfrak {sp}_{4}$$

Published:2022-01-20 Issue:1 Volume:390 Page:33-65
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Fasquel Justine^ORCID

Funder

Université de Lille

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://link.springer.com/content/pdf/10.1007/s00220-021-04294-6.pdf

Reference43 articles.

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3. Arakawa, T.: Representation theory of superconformal algebras and the Kac–Roan–Wakimoto conjecture. Duke Math. J. 130(3), 435–478 (2005)

4. Arakawa, T.: Representation theory of $${\cal{W}}$$-algebras. II. Adv. Stud. Pure Math. 61, 51–90 (2011)

5. Arakawa, T.: A remark on the $$C_2$$ cofiniteness condition on vertex algebras. Math. Z. 270(1), 559–575 (2012)

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