QPolynomial expansion for BrezinGrossWitten taufunction
Abstract
In this paper, we prove a conjecture of Alexandrov that the generalized BrezinGrossWitten taufunctions are hypergeometric tau functions of BKP hierarchy after rescaling. In particular, this shows that the original BGW taufunction, which has enumerative geometric interpretations, can be represented as a linear combination of Schur Qpolynomials with simple coefficients.
 Publication:

arXiv eprints
 Pub Date:
 April 2021
 DOI:
 10.48550/arXiv.2104.01357
 arXiv:
 arXiv:2104.01357
 Bibcode:
 2021arXiv210401357L
 Keywords:

 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 High Energy Physics  Theory;
 Mathematical Physics;
 Mathematics  Algebraic Geometry;
 Mathematics  Differential Geometry
 EPrint:
 27 pages. Published version