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BKP-Affine Coordinates and Emergent Geometry of Generalized Brézin-Gross-Witten Tau-Functions | | Zhiyuan Wang
; Chenglang Yang
; Qingsheng Zhang
; | | Date: |
3 Jan 2023 | | Abstract: | Following Zhou’s framework, we consider the emergent geometry of the
generalized Brézin-Gross-Witten models whose partition functions are known to
be a family of tau-functions of the BKP hierarchy. More precisely, we construct
a spectral curve together with its special deformation, and show that the
Eynard-Orantin topological recursion on this spectral curve emerges naturally
from the Virasoro constraints for the generalized BGW tau-functions. Moreover,
we give the explicit expressions for the BKP-affine coordinates of these
tau-functions and their generating series. The BKP-affine coordinates and the
topological recursion provide two different approaches towards the concrete
computations of the connected $n$-point functions. Finally, we show that the
quantum spectral curve of type $B$ in the sense of Gukov-Sułkowski emerges
from the BKP-affine coordinates and Eynard-Orantin topological recursion. | | Source: | arXiv, 2301.01131 | | Services: | Forum | Review | PDF | Favorites | |
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