Coupled Minimal Conformal Field Theory Models Revisited

Leite Antunes, António; Behan, Connor

doi:10.1103/PhysRevLett.130.071602

Journal Article

PUBDB-2022-07212

Coupled Minimal Conformal Field Theory Models Revisited

Leite Antunes, A.DESY* ; Behan, C.

2023
APS College Park, Md.

Physical review letters 130(7), 071602 (2023) [10.1103/PhysRevLett.130.071602]

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Please use a persistent id in citations: doi:10.1103/PhysRevLett.130.071602 doi:10.3204/PUBDB-2022-07212

Report No.: DESY-22-191; arXiv:2211.16503

Abstract: We study coupled unitary Virasoro minimal models in the large rank (m→∞) limit. In large m perturbation theory, we find two nontrivial IR fixed points which exhibit irrational coefficients in several anomalous dimensions and the central charge. For N>4 copies, we show that the IR theory breaks all possible currents that would otherwise enhance the Virasoro algebra, up to spin 10. This provides strong evidence that the IR fixed points are examples of compact, unitary, irrational conformal field theories with the minimal amount of chiral symmetry. We also analyze anomalous dimension matrices for a family of degenerate operators with increasing spin. These display further evidence of irrationality and begin to reveal the form of the leading quantum Regge trajectory.

Keyword(s): model: minimal ; fixed point: infrared ; algebra: Virasoro ; coupling: minimal ; field theory: conformal ; symmetry: chiral ; anomalous dimension ; unitarity ; spin ; family ; Regge poles ; perturbation theory ; central charge

Classification:

ddc:530

Note: Phys.Rev.Lett. 130 (2023) 7, 071602. 4+2 pages, 2 figures, 1 table; v2: matches published version

Contributing Institute(s):

Theorie-Gruppe (T)

Research Program(s):

Experiment(s):

No specific instrument

Appears in the scientific report 2023

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Medline

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