2023/10/12 by Shai M. Chester, Ning Su, Chester, Shai M. +1 · 9 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2310.08343
openalex publication_date 2023/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The paradigmatic example of deconfined quantum criticality is the Neel-VBS phase transition. The continuum description of this transition is the N=2 case of the CPN-1 model, which is a field theory of N complex scalars in 3d coupled to an Abelian gauge field with SU(N)× U(1) global symmetry. Lattice studies and duality arguments suggest the global symmetry of the CP1 model is enhanced to SO(5). We perform a conformal bootstrap study of SO(5) invariant fixed points with one relevant SO(5) singlet operator, which would correspond to two relevant SU(2)× U(1) singlets, i.e. a tricritical point. We find that the bootstrap bounds are saturated by four different predictions from the large N computation of monopole operator scaling dimensions, which were recently shown to be very accurate even for small N. This suggests that the Neel-VBS phase transition is described by this bootstrap bound, which predicts that the second relevant singlet has dimension ≈ 2.36.