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- W2570563369 abstract "We study the BKP hierarchy and its n-reduction, for the case that n is odd. This is related to the principal realization of the basic module of the twisted affine Lie algebra % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqaqpepeea0dXdb9aqVe% 0larpepe0lb9cs0-LqLs-Jarpepeea0-qqVe0Firpepa0xar-xfr-x% fj-hmeGabaqaciGacaGaaeqabaWaaeaaeaaakeaadaWfGaqaaiGaco% hacaGGSbWaaSbaaSqaaiaac6gaaeqaaaqabKqaGhaacqWIh4ETaaGc% daahaaWcbeqaaiaacIcacaaIYaGaaiykaaaaaaa!3B2F![mathop {{mathop{rm sl}nolimits} _n }limits^ ^{(2)} ]. We show that the following two statements for a BKP τ function are equivalent: (1) τ is is n-reduced and satisfies the string equation, i.e., L -1τ=0, where L -1 is an element of some ‘natural’ Virasoro algebra. (2) τ satisfies the vacuum constraints of the BW 1+∞ algebra. Here BW 1+∞ is the natural analog of the W 1+∞ algebra, which plays a role in the KP case." @default.
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- W2570563369 date "1996-08-01" @default.
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- W2570563369 title "The nth reduced BKP hierarchy, the string equation and BW 1+∞-constraints" @default.
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- W2570563369 doi "https://doi.org/10.1007/bf00116521" @default.
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