Algebras in Higher Dimensional Statistical Mechanics - the Exceptional Partition (MEAN Field) Algebras
Paul Martin, Hubert Saleur
Abstract
We determine the structure of the partition algebra Pn(Q) (a generalized Temperley-Lieb algebra) for specific values of Q ∈ , focusing on the quotient which gives rise to the partition function of n site Q-state Potts models (in the continuous Q formulation) in arbitrarily high lattice dimensions (the mean field case). The algebra is non-semi-simple iff Q is a non-negative integer less than n. We determine the dimension of the key irreducible representation in every specialization.
Create a lesson
Related papers
A universal sector of N=1 class S spectra
Ritabrata Bhattacharya, Abhay Katyal, Oscar Varela
Reflected entropy and islands in JT gravity from partial dimensional reduction
Debarshi Basu, Himanshu Chourasiya
q-deformed Weil-Petersson Volumes from the Spectral Edge of DSSYK and Supersymmetric Extensions
Wasif Ahmed, Joydeep Naskar, Krishan Saraswat
Modular Properties of Generalised Gibbs Ensembles: The Deformed KdV Hierarchy
Faisal Karimi
The Quasiparticle Ansatz for Relativistic Continuous Matrix Product States
Silviu S. Pufu, Benjamin T. Søgaard, Spyros Terlemes
Anomaly induced transport in holographic superconductors
Ashis Tamang, Nishal Rai, Javier Esteban et al.