Journal article

Reflection algebra and functional equations

W Galleas, J Lamers

NUCLEAR PHYSICS B | ELSEVIER SCIENCE BV | Published : 2014

Abstract

In this work we investigate the possibility of using the reflection algebra as a source of functional equations. More precisely, we obtain functional relations determining the partition function of the six-vertex model with domain-wall boundary conditions and one reflecting end. The model's partition function is expressed as a multiple-contour integral that allows the homogeneous limit to be obtained straightforwardly. Our functional equations are also shown to give rise to a consistent set of partial differential equations satisfied by the partition function. © 2014 The Authors.

University of Melbourne Researchers

Grants

Awarded by Netherlands Organization for Scientific Research (NWO) under the VICI grant


Awarded by ERC Advanced grant research programme


Funding Acknowledgements

This work is supported by the Netherlands Organization for Scientific Research (NWO) under the VICI grant 680-47-602 and by the ERC Advanced grant research programme No. 246974, "Supersymmetry: a window to non-perturbative physics". The authors also thank the D-ITP consortium, a program of the Netherlands Organization for Scientific Research (NWO) funded by the Dutch Ministry of Education, Culture and Science (OCW).