Integral solutions to boundary quantum Knizhnik–Zamolodchikov equations
| Authors |
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| Publication date | 07-01-2018 |
| Journal | Advances in Mathematics |
| Volume | Issue number | 323 |
| Pages (from-to) | 486-528 |
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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. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.1016/j.aim.2017.10.041
(Final published version)
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