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• W3119254224 abstract "Abstract We show that the Virasoro fusion kernel is equal to Ruijsenaars’ hypergeometric function up to normalization. More precisely, we prove that the Virasoro fusion kernel is a joint eigenfunction of four difference operators. We find a renormalized version of this kernel for which the four difference operators are mapped to four versions of the quantum relativistic hyperbolic Calogero–Moser Hamiltonian tied with the root system $$BC_1$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>B</mml:mi> <mml:msub> <mml:mi>C</mml:mi> <mml:mn>1</mml:mn> </mml:msub> </mml:mrow> </mml:math> . We consequently prove that the renormalized Virasoro fusion kernel and the corresponding quantum eigenfunction, the (renormalized) Ruijsenaars hypergeometric function, are equal." @default.
• W3119254224 created "2021-01-18" @default.
• W3119254224 creator A5036881615 @default.
• W3119254224 date "2021-01-09" @default.
• W3119254224 modified "2023-09-30" @default.
• W3119254224 title "The Virasoro fusion kernel and Ruijsenaars’ hypergeometric function" @default.
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• W3119254224 doi "https://doi.org/10.1007/s11005-020-01351-4" @default.
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