Integral solutions to boundary quantum Knizhnik–Zamolodchikov equations
| Authors |
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| Publication date |
07-01-2018
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| Journal |
Advances in Mathematics
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| Volume | Issue number |
323
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| Pages (from-to) |
486-528
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| Organisations |
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Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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| Abstract |
We construct integral representations of solutions to the boundary quantum Knizhnik–Zamolodchikov equations. These are difference equations taking values in tensor products of Verma modules of quantum affine , with the K-operators acting diagonally. The integrands in question are products of scalar-valued elliptic weight functions with vector-valued trigonometric weight functions (boundary Bethe vectors). These integrals give rise to a basis of solutions of the boundary qKZ equations over the field of quasi-constant meromorphic functions in weight subspaces of the tensor product.
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| Document type |
Article
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| Language |
English
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| Published at |
https://doi.org/10.1016/j.aim.2017.10.041
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