A hierarchic array of integrable models

Peter G.O. Freund, Anton V. Zabrodin

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


Motivated by Harish-Chandra theory, starting from a simple CDD-pole S matrix, a hierarchy of new S matrices involving ever "higher" (in the sense of Barnes) gamma functions are constructed. These new S matrices correspond to scattering of excitations in ever more complex integrable models. From each of these models, new ones are obtained either by "q deformation," or by considering the Selberg-type Euler products of which they represent the "infinite place." A hierarchic array of integrable models is thus obtained. A remarkable diagonal link in this array is established. Though many entries in this array correspond to familiar integrable models, the array also leads to new models. Setting up this array led to new results on the q-gamma function and on the q-deformed Bloch-Wigner function.

Original languageEnglish
Pages (from-to)5832-5842
Number of pages11
JournalJournal of Mathematical Physics
Issue number12
Publication statusPublished - 1993
Externally publishedYes


Dive into the research topics of 'A hierarchic array of integrable models'. Together they form a unique fingerprint.

Cite this