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

Vladimir V. Bazhanov; Andrew P. Kels; Sergey M. Sergeev

doi:10.1088/1751-8113/46/15/152001

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

Vladimir V. Bazhanov^*
, Andrew P. Kels
, Sergey M. Sergeev

^*Corresponding author for this work

Research output: Contribution to journal › Review article › peer-review

20 Citations (Scopus)

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 functions, previously obtained by Rains.

Original language	English
Article number	152001
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	46
Issue number	15
DOIs	https://doi.org/10.1088/1751-8113/46/15/152001
Publication status	Published - 19 Apr 2013

Access to Document

10.1088/1751-8113/46/15/152001

Cite this

@article{2690b9c0176a4df8924674750996e69c,

title = "Comment on star-star relations in statistical mechanics and elliptic gamma-function identities",

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 functions, previously obtained by Rains.",

author = "Bazhanov, \{Vladimir V.\} and Kels, \{Andrew P.\} and Sergeev, \{Sergey M.\}",

year = "2013",

month = apr,

day = "19",

doi = "10.1088/1751-8113/46/15/152001",

language = "English",

volume = "46",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "IOP Publishing Ltd.",

number = "15",

}

TY - JOUR

T1 - Comment on star-star relations in statistical mechanics and elliptic gamma-function identities

AU - Bazhanov, Vladimir V.

AU - Kels, Andrew P.

AU - Sergeev, Sergey M.

PY - 2013/4/19

Y1 - 2013/4/19

N2 - 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 functions, previously obtained by Rains.

AB - 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 functions, previously obtained by Rains.

UR - https://www.scopus.com/pages/publications/84876473080

U2 - 10.1088/1751-8113/46/15/152001

DO - 10.1088/1751-8113/46/15/152001

M3 - Review article

SN - 1751-8113

VL - 46

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 15

M1 - 152001

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this