Rationality of the Exceptional $$\mathcal {W}$$-Algebras $$\mathcal {W}_k(\mathfrak {sp}_{4},f_{subreg})$$ Associated with Subregular Nilpotent Elements of $$\mathfrak {sp}_{4}$$
نویسندگان
چکیده
We prove the rationality of exceptional W-algebras associated with simple Lie algebra $\mathfrak{sp}_4$ and subregular nilpotent elements, proving a new particular case conjecture Kac-Wakimoto. Moreover, we describe $\mathcal{W}_k(\mathfrak{sp}_4,f_{subreg})$-modules compute their characters. also explicit nontrivial action component group on set these modules.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2022
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-021-04294-6