It’s week 45 of 2015. Here’s a look back at some highlights from this time in 2014.
Conjugation properties of tensor product multiplicities
by Robert Coquereaux and Jean-Bernard Zuber
In their 2011 paper, ‘On sums of tensor and fusion multiplicities‘, the authors proved the total multiplicity in the decomposition into irreducibles of the tensor product λ ⊗ μ of two irreducible representations of a simple Lie algebra is invariant under conjugation of one of them; at a given level. Here, they present a refined version of this conjugation property.
Condensation transition in joint large deviations of linear statistics (Free to view)
by Juraj Szavits-Nossan, Martin R Evans and Satya N Majumdar
The authors provide a detailed theoretical analysis explaining a phenomenon in which condensation is exhibited for non-heavy tailed distributions, provided random variables are additionally conditioned on a large deviation of certain linear statistics and, demonstrate it in several physical systems.
Martin Evans is the journals Editor-in-Chief and Satya Majumdar is also on the journals editorial board.
Fast Track Communication (FTC)*: Parafermionic conformal field theory on the lattice
by Roger SK Mong, David J Clarke, Jason Alicea, Netanel H Lindner and Paul Fendley
Here, the authors demonstrate their progress in connecting fields in parafermion conformal field theory to microscopic lattice operators in the three-state Potts model. They construct lattice analogues of all local physical fields, of which only some were previously known.
Paul Fendley, based at the University of Virginia, is currently a member of the journals editorial board.
*FTC’s have now been replaced by Letters. For more information and to submit a Letter to JPhysA click here.
See the rest of the issue here
This work is licensed under a Creative Commons Attribution 3.0 Unported License. Image 1: Robert Coquereaux and Jean-Bernard Zuber 2014 J. Phys. A: Math. Theor. 47 455202 Copyright IOP Publishing Ltd 2014 Image 2: Courtesy of Martin R Evans
Categories: Journal of Physics A: Mathematical and Theoretical