Pith. sign in

REVIEW 2 cited by

Symmetry and universality of multi-field interactions in $6-\epsilon$ dimensions

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

arxiv 1910.10009 v2 pith:2AGV3EGY submitted 2019-10-22 hep-th cond-mat.stat-mech

classification hep-thcond-mat.stat-mech
keywords dimensionsuniversalitycriticalepsilonsymmetrythreeanalysisapply
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We outline a general strategy developed for the analysis of critical models, which we apply to obtain a heuristic classification of all universality classes with up to three field-theoretical scalar order parameters in $d=6-\epsilon$ dimensions. As expected by the paradigm of universality, each class is uniquely characterized by its symmetry group and by a set of its scaling properties, neither of which are built-in by the formalism but instead emerge nontrivially as outputs of our computations. For three fields, we find several solutions mostly with discrete symmetries. These are nontrivial conformal field theory candidates in less than six dimensions, one of which is a new perturbatively unitary critical model.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Coupled minimal models revisited II: Constraints from permutation symmetry

    hep-th 2024-12 accept novelty 7.0 of 10

    For coupled large-m minimal models with N=5,6,7, every permutation-charged current below spin 10 acquires an anomalous dimension, so the IR fixed points show no extended chiral algebra in that range.

  2. Gradient properties of $\varphi^3$ in $d=6-\varepsilon$

    hep-th 2025-07 conditional novelty 6.0 of 10

    The d = 6 gradient (A-function) structure of the phi^3 RG flow extends to d = 6 − epsilon, requiring one new three-loop constraint, Eq. (22), that the MS coefficients satisfy.

Pith tools