BROWSE

Related Scientist

cgp's photo.

cgp
기하학수리물리연구단
more info

ITEM VIEW & DOWNLOAD

Cut-and-join description of generalized Brezin-Gross-Witten model

Cited 0 time in webofscience Cited 3 time in scopus
1,037 Viewed 180 Downloaded
Title
Cut-and-join description of generalized Brezin-Gross-Witten model
Author(s)
Alexandrov A.
Publication Date
2019-05
Journal
ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, v.22, no.6, pp.1347 - 1399
Publisher
INT PRESS BOSTON
Abstract
We investigate the Brezin-Gross-Witten model, a tau-function of the KdV hierarchy, and its natural one-parameter deformation, the generalized Brezin-Gross-Witten tau-function. In particular, we derive the Virasoro constraints, which completely specify the partition function. We solve them in terms of the cut-and-join operator. The Virasoro constraints lead to the loop equations, which we solve in terms of the correlation functions. Explicit expressions for the coefficients of the tau-function and the free energy are derived, and a compact formula for the genus zero contribution is conjectured. A family of polynomial solutions of the KdV hierarchy, given by the Schur functions, is obtained for the half-integer values of the parameter. The quantum spectral curve and its classical limit are discussed. © by International Press of Boston, Inc.
URI
https://pr.ibs.re.kr/handle/8788114/5930
DOI
10.4310/atmp.2018.v22.n6.a1
ISSN
1095-0761
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
Files in This Item:
2018_AA_Cut-and-join description of generalized Brezin-Gross-Witten model.pdfDownload

qrcode

  • facebook

    twitter

  • Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
해당 아이템을 이메일로 공유하기 원하시면 인증을 거치시기 바랍니다.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse