REVIEW 3 cited by
Critical Exponents of the Chiral Potts Model from Conformal Field Theory
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
abstract
The $Z_N$-invariant chiral Potts model is considered as a perturbation of a $Z_N$ conformal field theory. In the self-dual case the renormalization group equations become simple, and yield critical exponents and anisotropic scaling which agree with exact results for the super-integrable lattice models. Although the continuum theory is not Lorentz invariant, it respects a novel type of space-time symmetry which allows for the observed spontaneous breaking of translational symmetry in the ground state. The continuum theory is shown to possess an infinite number of conserved charges on the self-dual line, which remain conserved when the theory is perturbed by the energy operator.
Forward citations
Cited by 3 Pith papers
-
The "not-A", RSPT and Potts phases in an $S_3$-invariant chain
A two-parameter S3-invariant spin chain has four gapped phases, including a new 'not-A' phase and a representation symmetry-protected topological phase, with all transitions in the three-state Potts universality class.
-
The anisotropic chiral boson
An anisotropic (Lifshitz-like) chiral boson has an exact partition function generated by partitions into z-th powers, plus a nonlocal conformal symmetry.
-
Observables in Schr\"odinger CFTs: How Aliens Built the Pyramids
Observables in Schrödinger CFTs have zero mass and transform in staggered pyramid representations built from alien operators, generalizing exceptional symmetry conservation laws.
Discussion (0). Continue with ORCID to comment.