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Thenth reduced BKP hierarchy, the string equation andBW1+∞-constraints

✍ Scribed by Johan Leur


Book ID
104626904
Publisher
Springer Netherlands
Year
1996
Tongue
English
Weight
718 KB
Volume
44
Category
Article
ISSN
0167-8019

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✦ Synopsis


We study the BKP hierarchy and its n-reduction, for the case that n is odd. This is related .~(2) to the principal realization of the basic module of the twisted affine Lie algebra Sl~ . We show that the following two statements for a BKP ~-function are equivalent: (1) 7 is is n-reduced and satisfies the string equation, i.e., L_~T = 0, where L-l is an element of some 'natural' Virasoro algebra. (2) ~-satisfies the vacuum constraints of the BWI+~ algebra. Here BW~+~ is the natural analog of the W~+~ algebra, which plays a role in the KP case.