de.mpg.escidoc.pubman.appbase.FacesBean
English
 
Help Guide Disclaimer Contact us Login
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  The star-triangle relation, lens partition function, and hypergeometric sum/integrals

Gahramanov, I., & Kels, A. P. (2017). The star-triangle relation, lens partition function, and hypergeometric sum/integrals. Journal of high energy physics: JHEP, 2017(02): 040. doi:10.1007/JHEP02(2017)040.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002C-3991-8 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002E-2BCA-5
Genre: Journal Article

Files

show Files
hide Files
:
1610.09229.pdf (Preprint), 521KB
Description:
File downloaded from arXiv at 2017-01-12 14:18
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
:
JHEP02(2017)040.pdf (Publisher version), 750KB
Description:
Open Access
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-

Locators

show

Creators

show
hide
 Creators:
Gahramanov, Ilmar1, Author              
Kels, Andrew P., Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

Content

show
hide
Free keywords: Mathematical Physics, math-ph, Condensed Matter, Statistical Mechanics, cond-mat.stat-mech,High Energy Physics - Theory, hep-th,Mathematics, Mathematical Physics, math.MP
 Abstract: The aim of the present paper is to consider the hyperbolic limit of an elliptic hypergeometric sum/integral identity, and associated lattice model of statistical mechanics previously obtained by the second author. The hyperbolic sum/integral identity obtained from this limit, has two important physical applications in the context of the so-called gauge/YBE correspondence. For statistical mechanics, this identity is equivalent to a new solution of the star-triangle relation form of the Yang-Baxter equation, that directly generalises the Faddeev-Volkov models to the case of discrete and continuous spin variables. On the gauge theory side, this identity represents the duality of lens ($S_b^3/\mathbb{Z}_r$) partition functions, for certain three-dimensional $\mathcal N = 2$ supersymmetric gauge theories.

Details

show
hide
Language(s):
 Dates: 2016-10-282017
 Publication Status: Published in print
 Pages: 42 pages, 4 figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1610.09229
URI: http://arxiv.org/abs/1610.09229
DOI: 10.1007/JHEP02(2017)040
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Journal of high energy physics : JHEP
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2017 (02) Sequence Number: 040 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111021927548002