\dots, 83106786, 114382724, 1509048322, 2343463290, 27410087742, \dots efficient Hilbert series for effective theories

DOI10.1016/j.physletb.2020.135632zbMath1473.81248arXiv2004.09521OpenAlexW3044456984MaRDI QIDQ822425

Coenraad B. Marinissen, Rudi Rahn, Wouter J. Waalewijn

Publication date: 22 September 2021

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.09521

Mathematics Subject Classification ID

Unified quantum theories (81V22) Asymptotic results on counting functions for algebraic and topological structures (11N45) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Yang-Mills and other gauge theories in quantum field theory (81T13) Effective quantum field theories (81T12)

Related Items (6)

Hilbert series, machine learning, and applications to physics ⋮ Counting operators in \(N = 1\) supersymmetric gauge theories ⋮ Constructing operator basis in supersymmetry: a Hilbert series approach ⋮ 23, 381, 6242, 103268, 1743183, \dots: Hilbert series for CP-violating operators in SMEFT ⋮ Discrete symmetries and efficient counting of operators ⋮ The geometric \(\nu\)SMEFT: operators and connections

Cites Work

• Highest weight generating functions for Hilbert series
• Hilbert series and operator bases with derivatives in effective field theories
• Counting BPS operators in gauge theories: quivers, syzygies and plethystics
• Hilbert series for flavor invariants of the Standard Model
• Dimension-six terms in the Standard Model Lagrangian

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