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• W2967096656 abstract "We describe a reproduction procedure which, given a solution of the $${mathfrak {g}}{mathfrak {l}}_{M|N}$$ Gaudin Bethe ansatz equation associated to a tensor product of polynomial modules, produces a family P of other solutions called the population. To a population we associate a rational pseudodifferential operator R and a superspace W of rational functions. We show that if at least one module is typical then the population P is canonically identified with the set of minimal factorizations of R and with the space of full superflags in W. We conjecture that the singular eigenvectors (up to rescaling) of all $${mathfrak {g}}{mathfrak {l}}_{M|N}$$ Gaudin Hamiltonians are in a bijective correspondence with certain superspaces of rational functions." @default.
• W2967096656 created "2019-08-22" @default.
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• W2967096656 date "2019-08-14" @default.
• W2967096656 modified "2023-10-16" @default.
• W2967096656 title "The solutions of $${mathfrak {g}}{mathfrak {l}}_{M|N}$$ Bethe ansatz equation and rational pseudodifferential operators" @default.
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• W2967096656 doi "https://doi.org/10.1007/s00029-019-0498-3" @default.
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