Journal article

Integral formula for elliptic SOS models with domain walls and a reflecting end

Jules Lamers



In this paper we extend previous work of Galleas and the author to elliptic sos models. We demonstrate that the dynamical reflection algebra can be exploited to obtain a functional equation characterizing the partition function of an elliptic sos model with domain-wall boundaries and one reflecting end. Special attention is paid to the structure of the functional equation. Through this approach we find a novel multiple-integral formula for that partition function.

University of Melbourne Researchers


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

Awarded by ERC Advanced Grant

Funding Acknowledgements

I am indebted to W. Galleas for bringing the problem tackled in this paper to my attention, and am grateful to him as well as G. Arutyunov and A. Henriques for useful discussions and comments on the manuscript. I also thank DESY for the kind hospitality during the course of this work. 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 246974, Supersymmetry: a window to non-perturbative physics. I further acknowledge the D-ITP consortium, an NWO program funded by the Dutch Ministry of Education, Culture and Science (OCW).