2025/10/21 by Andrei Katsevich, Katsevich, Andrei, Igor R. Klebanov +5 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Non-Hermitian Physics #Statistical Mechanics (cond-mat.stat-mech)
paper · doi:10.48550/arxiv.2510.19085
openalex publication_date 2025/10/21 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28
We discuss dimensional continuation of the massless scalar field theory with the iϕ5 interaction term. It preserves the so-called PT symmetry, which acts by ϕ→-ϕ accompanied by i→-i. Below its upper critical dimension 10/3, this theory has interacting infrared fixed points. We argue that the fixed point in d=2 describes the nonunitary minimal conformal model M(2,7). We identify the operators ϕ and ϕ2 with the Virasoro primaries ϕ1,2 and ϕ1,3, respectively, and iϕ3 with a quasiprimary operator, which is a Virasoro descendant of ϕ1,3. Our identifications appear to be consistent with the operator product expansions and with considerations based on integrability. Using constrained Padé extrapolations, we provide estimates of the critical exponents in d=3. We also comment on possible lattice descriptions of M(2,7) and discuss RG flows to and from this conformal field theory (CFT). Finally, we conjecture that the minimal models M(2,2n+1) are described by the massless scalar field theories with the iϕ2n-1 interaction terms.