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• W3176592260 abstract "We study three families of infinite-dimensional Lie algebras defined from Vertex Operator Algebras and their properties. For $N=0$ VOAs, we review the construction of the Fock space $V_L$ from an even lattice $L$ and provide an algebraic description of the Lie algebra $g_{II_{25,1}}$ from the perspective of $24$ different Niemeier lattices $N$ via the decomposition $II_{25,1} = N oplus II_{1,1}$ using the no-ghost theorem. For $N=1$ SVOAs we review the construction of the Fock space $V_{NS}$ and provide an explicit basis for the spectrum-generating algebra of the Lie algebra $g_{NS}$. For $N=2$ SVOAs, we describe the structure of $g^{(2)}_{NS}$ explicitly as a $mathbb{Q}$-graded Lie algebra and we lift a left and right $SL(2,mathbb{Z})$ action on $II_{2,2}$ to $g^{(2)}_{NS}$." @default.
• W3176592260 created "2021-07-05" @default.
• W3176592260 creator A5003604407 @default.
• W3176592260 date "2021-06-30" @default.
• W3176592260 modified "2023-09-27" @default.
• W3176592260 title "Three Families of Lie Algebras of Exponential Growth From Vertex Operator Algebras" @default.
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