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- W4225509518 abstract "Abstract We prove a new quasiparticle sum expression for the character of the Ising model vertex algebra, related to the Jackson–Slater $q$-series identity of Rogers–Ramanujan type and to Nahm sums for the matrix $left (begin {smallmatrix}8&33&2 end {smallmatrix}right ) $. We find, as consequences, an explicit monomial basis for the Ising model and a description of its singular support. We find that the ideal sheaf of the latter, defining it as a subscheme of the arc space of its associated scheme, is finitely generated as a differential ideal. We prove three new $q$-series identities of the Rogers–Ramanujan–Slater type associated with the three irreducible modules of the Virasoro Lie algebra of central charge $1/2$. We give a combinatorial interpretation to the identity associated with the vacuum module." @default.
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- W4225509518 date "2022-05-06" @default.
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- W4225509518 title "The Singular Support of the Ising Model" @default.
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- W4225509518 doi "https://doi.org/10.1093/imrn/rnab328" @default.
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