# Journal of the Ramanujan Mathematical Society

Volume 35, Issue 4, December 2020  pp. 299–306.

An example of explicit dependence of quantum symmetry on KMS states

Authors:  Soumalya Joardar and Arnab Mandal
Author institution:Department of Mathematics and Statistics, IISER Kolkata, Mohanpur, Nadia, India

Summary:  We compute all the quantum symmetries of a graph with n disjoint loops at the critical inverse temperature in the sense of [14]. We show that the set of non-isomorphic CQG's appearing as quantum symmetry at the critical inverse temperature has a one to one correspondence with the set of partitions of the number of vertices.