Comment on star-star relations in statistical mechanics and elliptic gamma-function identities

Bazhanov, Vladimir; Kels, Andrew; Sergeev, Sergey M.

Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Comment on star-star relations in statistical mechanics and elliptic gamma-function identities

Date

2013

Authors

Bazhanov, Vladimir

Kels, Andrew

Sergeev, Sergey M.

Publisher

IOP Electronic Journals

Abstract

We prove a recently conjectured star-star relation, which plays the role of an integrability condition for a class of 2D Ising-type models with multicomponent continuous spin variables. Namely, we reduce this relation to an identity for elliptic gamma fun