Pfaffian and Determinantal Tau Functions

被引：0
|
作者：
Johan W. van de Leur
Alexander Yu. Orlov
机构：
[1] Utrecht University,Mathematical Institute
[2] Institute of Oceanology RAS,International Laboratory of Representation Theory and Mathematical Physics
[3] National Research University Higher School of Economics,undefined
来源：
Letters in Mathematical Physics | 2015年 / 105卷
关键词：
17B65; 17B80; 35Q51; 35Q53; 35Q55; integrable systems; Tau functions; BKP; DKP; two-component Toda lattice; Pfaff lattice; free fermions;
D O I：
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摘要：
Adler, Shiota and van Moerbeke observed that a tau function of the Pfaff lattice is a square root of a tau function of the Toda lattice hierarchy of Ueno and Takasaki. In this paper, we give a representation theoretical explanation for this phenomenon. We consider 2-BKP and two-component 2-KP tau functions. We shall show that a square of a BKP tau function is equal to a certain two-component KP tau function and a square of a 2-BKP tau function is equal to a certain two-component 2-KP tau function.
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页码：1499 / 1531
页数：32
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