Universal character, phase model and topological strings on $$\pmb {\mathbb {C}^3}$$ C3

• Published in: The European physical journal. C, Particles and fields Vol. 79; no. 11; pp. 1 - 9
• Main Authors: Na Wang, Chuanzhong Li
• Format: Journal Article
• Language: English
• Published: SpringerOpen 01.11.2019
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-019-7483-z

Abstract In this paper, we consider two different subjects: the algebra of universal characters $$S_{[\lambda ,\mu ]}(\mathbf{x},\mathbf{y})$$ S[λ,μ](x,y) (a generalization of Schur functions) and the phase model of strongly correlated bosons. We find that the two-site generalized phase model can be realized in the algebra of universal characters, and the entries in the monodromy matrix of the phase model can be represented by the vertex operators $$\Gamma _i^\pm (z) (i=1,2)$$ Γi±(z)(i=1,2) which generate universal characters. Meanwhile, we find that these vertex operators can also be used to obtain the A-model topological string partition function on $$\mathbb {C}^3$$ C3 .