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arXiv:1509.01008

Boundary state of $U_q(\hat{gl}(N|N))$ analog of half-infinite $t-J$ model

Takeo Kojima

Published Sep 3, 2015• 0 citations
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Abstract

The $U_q(\hat{gl}(N|N))$-analog of the half-infinite $t-J$ model with a boundary is considered by using the vertex operator approach. We find explicit bosonic formula of the boundary state in the integrable highest-weight module over the quantum superalgebra $U_q(\hat{gl}(N|N))$.

DOI
10.48550/arxiv.1509.01008

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The Uq(gl^(N∣N))U_q(\hat{gl}(N|N))Uq​(gl^​(N∣N))-analog of the half-infinite t−Jt-Jt−J model with a boundary is considered by using the vertex operator approach. We find explicit bosonic formula of the boundary state in the integrable highest-weight module over the quantum superalgebra Uq(gl^(N∣N))U_q(\hat{gl}(N|N))Uq​(gl^​(N∣N)).
In this study, an integrable vertex model based on the quantum affine superalgebra Uq(gl^(2∣2))U_q\bigl(\hat{gl}(2|2)\bigr)Uq​(gl^​(2∣2)) is constructed. The model is characterized by a particular assignment of spectral parameters and lowest as well as highest weight Uq(gl(2∣2))U_q\bigl(gl(2|2) \bigr)Uq​(gl(2∣2)) modules to its lattice links. Solutions of the corresponding intertwining conditions yield the Boltzmann weights. The set of mutually commuting charges contains a quantity equivalent to the super spin chain Hamiltonian proposed for the description of the integer quantum Hall transition.