Preprint

PUBDB-2022-07135

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Coupled Minimal Models Revisited

Leite Antunes, A.DESY* ; Behan, C. (Corresponding author)

2022

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Please use a persistent id in citations: doi:10.3204/PUBDB-2022-07135

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

Abstract: We study coupled unitary Virasoro minimal models in the large rank ($m \rightarrow \infty$) limit. In large $m$ perturbation theory, we find two non-trivial 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 CFTs 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

Note: 4+2 pages, 2 figures, 1 table

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2022

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Database coverage:
; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Leite Antunes, A.DESY* ; Behan, C.
Coupled Minimal Conformal Field Theory Models Revisited
Physical review letters 130(7), 071602 (2023) [10.1103/PhysRevLett.130.071602]2023     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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