Quantum Knizhnik-Zamolodchikov Equation, Totally Symmetric Self-Complementary Plane Partitions and Alternating Sign Matrices

Simple item page
dc.creatorDi Francesco, P.
dc.creatorZinn-Justin, P.
dc.date2007-03-03
dc.date2007-04-20
dc.date.accessioned2026-07-07T07:57:25Z
dc.date.available2026-07-07T07:57:25Z
dc.descriptionWe present multiresidue formulae for partial sums in the basis of link patterns of the polynomial solution to the level 1 U_q(\hat sl_2) quantum Knizhnik--Zamolodchikov equation at generic values of the quantum parameter q. These allow for rewriting and generalizing a recent conjecture [Di Francesco '06] connecting the above 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.
dc.identifierhttps://arxiv.org/abs/math-ph/0703015
dc.identifierhttp://arxiv.org/abs/math-ph/0703015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127640
dc.subjectMathematical Physics
dc.subjectCombinatorics
dc.titleQuantum Knizhnik-Zamolodchikov Equation, Totally Symmetric Self-Complementary Plane Partitions and Alternating Sign Matrices
dc.typetext

Files

Collections

arXiv