论文标题

多项式KP和BKP $τ$ - 功能和相关器

Polynomial KP and BKP $τ$-functions and correlators

论文作者

Harnad, J., Orlov, A. Yu.

论文摘要

Lattices of polynomial KP and BKP $τ$-functions labelled by partitions, with the flow variables equated to finite power sums, as well as associated multipair KP and multipoint BKP correlation functions are expressed via generalizations of Jacobi's bialternant formula for Schur functions and Nimmo's Pfaffian ratio formula for Schur $Q$-functions.这些是通过将WICK定理应用于费米子真空期望值表示形式来获得的,其中无限组元件作用于基态晶格稳定真空。

Lattices of polynomial KP and BKP $τ$-functions labelled by partitions, with the flow variables equated to finite power sums, as well as associated multipair KP and multipoint BKP correlation functions are expressed via generalizations of Jacobi's bialternant formula for Schur functions and Nimmo's Pfaffian ratio formula for Schur $Q$-functions. These are obtained by applying Wick's theorem to fermionic vacuum expectation value representations in which the infinite group element acting on the lattice of basis states stabilizes the vacuum.

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