منابع مشابه
α-Pfaffian, pfaffian point process and shifted Schur measure
For any complex number α and any even-size skew-symmetric matrix B, we define a generalization pf α (B) of the pfaffian pf(B) which we call the α-pfaffian. The α-pfaffian is a pfaffian analogue of the α-determinant studied in [ST] and [V]. It gives the pfaffian at α = −1. We give some formulas for α-pfaffians and study the positivity. Further we define point processes determined by the α-pfaffi...
متن کاملPfaffian form of the Grammian determinant solutions of the BKP hierarchy
The Grammian determinant type solutions of the KP hierarchy, obtained through the vectorial binary Darboux transformation, are reduced, imposing suitable differential constraint on the transformation data, to Pfaffian solutions of the BKP hierarchy. On leave of absence from Beijing Graduate School, CUMT, Beijing 100083, China Supported by Beca para estancias temporales de doctores y tecnólogos ...
متن کاملOn dispersionless BKP hierarchy and its reductions
Integrable dispersionless Kadomtsev-Petviashvili (KP) hierarchy of B type is considered. Addition formula for the τ -function and conformally invariant equations for the dispersionless BKP (dBKP) hierarchy are derived. Symmetry constraints for the dBKP hierarchy are studied.
متن کاملQuasi-classical limit of BKP hierarchy and W-infinity symmetries
Previous results on quasi-classical limit of the KP and Toda hierarchies are now extended to the BKP hierarchy. Basic tools such as the Lax representation, the Baker-Akhiezer function and the tau function are reformulated so as to fit into the analysis of quasi-classical limit. Two subalgebras WB 1+∞ and w B 1+∞ of the Winfinity algebrasW1+∞ and w1+∞ are introduced as fundamental Lie algebras o...
متن کاملThe Adler-shiota-van Moerbeke Formula for the Bkp Hierarchy
We study the BKP hierarchy and prove the existence of an Adler– Shiota–van Moerbeke formula. This formula relates the action of the BW1+∞–algebra on tau–functions to the action of the “additional symmetries” on wave functions.
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2019
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2018.12.028