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Quantum Simulation

Universal Character, Phase Model and Topological Strings on mathbb C3

arXiv
Authors: Na Wang, Chuanzhong Li

Year

2017

Paper ID

25083

Status

Preprint

Abstract Read

~2 min

Abstract Words

96

Citations

N/A

Abstract

In this paper, we consider two different subjects: the algebra of universal characters S[λ,μ]\({bf x},{bf y}\) (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 Γipm(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 C3.

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  • In this paper, we consider two different subjects: the algebra of universal characters S[λ,μ](bf x,bf y) (a generalization of Schur functions) and the phase model of strongly...

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