Abstract
We present multiple-residue integral formulas for partial sums in the basis of link patterns of the polynomial solution of the level-1 Uq (sl2̂) quantum Knizhnik-Zamolodchikov equation at arbitrary values of the quantum parameter q. These formulas allow rewriting and generalizing a recent conjecture of Di Francesco connecting these sums to generating polynomials for weighted totally symmetric self-complementary plane partitions. We reduce the corresponding conjectures to a single integral identity, yet to be proved.
Original language | English (US) |
---|---|
Pages (from-to) | 331-348 |
Number of pages | 18 |
Journal | Theoretical and Mathematical Physics |
Volume | 154 |
Issue number | 3 |
DOIs | |
State | Published - Mar 2008 |
Externally published | Yes |
Keywords
- Combinatorics
- Loop model
- Quantum integrability
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics