(Non-)Abelian discrete anomalies

Abstract

We derive anomaly constraints for Abelian and non-Abelian discrete symmetries using the path integral approach. We survey anomalies of discrete symmetries in heterotic orbifolds and find a new relation between such anomalies and the so-called `anomalous' U(1).

32 pages, one figure; v2: matches version published in NPB

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• Discrete Anomaly Matching
• Heterotic Brane World
• More About Discrete Gauge Anomalies
• Dynamical supersymmetry breaking in models with a Green-Schwarz mechanism
• "Anomalous" U(1) Symmetry in Orbifold String Models
• Natural R-Parity, μ-term, and Fermion Mass Hierarchy From Discrete Gauge Symmetries
• Anomalies of Discrete Symmetries and Gauge Coupling Unification
• Quantum Moduli Spaces of $N=1$ String Theories
• Discrete R-symmetry anomalies in heterotic orbifold models
• CPT and Other Symmetries in String/M Theory

Cited by in corpus (87)

• Discrete R symmetries for the MSSM and its singlet extensions
• Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models
• Symmetric-Gapped Surface States of Fractional Topological Insulators
• A unique Z_4^R symmetry for the MSSM
• Anomaly Manifestation of Lieb-Schultz-Mattis Theorem and Topological Phases
• Modular symmetry and non-Abelian discrete flavor symmetries in string compactification
• New $A_4$ lepton flavor model from $S_4$ modular symmetry
• Non-Abelian discrete gauge symmetries in 4d string models
• $A_4$ lepton flavor model and modulus stabilization from $S_4$ modular symmetry
• Discrete gauge symmetries in D-brane models
• $CP$ violation in modular invariant flavor models
• String-derived MSSM vacua with residual R symmetries
• QCD-Collapsed Domain Walls: QCD Phase Transition and Gravitational Wave Spectroscopy
• Accions
• To Tilt or Not To Tilt: Discrete Gauge Symmetries in Global Intersecting D-Brane Models
• Discrete Gauge Symmetries in Discrete MSSM-like Orientifolds
• Anomaly Induced Dark Matter Decay and PAMELA/ATIC Experiments
• The Orbifolder: A Tool to study the Low Energy Effective Theory of Heterotic Orbifolds
• Modular flavor symmetries of three-generation modes on magnetized toroidal orbifolds
• Recipes and Ingredients for Neutrino Mass at Loop Level
• Modular symmetry anomaly in magnetic flux compactification
• Gauge Origin of Discrete Flavor Symmetries in Heterotic Orbifolds
• The D_4 flavor symmery in 3-3-1 model with neutral leptons
• Symplectic modular symmetry in heterotic string vacua: flavor, CP, and $R$-symmetries
• Patterns of remnant discrete symmetries
• The T7 flavor symmetry in 3-3-1 model with neutral leptons
• Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds
• String Constraints on Discrete Symmetries in MSSM Type II Quivers
• Non-Abelian Discrete Groups from the Breaking of Continuous Flavor Symmetries
• Towards Low Energy Physics from the Heterotic String
• Flavor structure from magnetic fluxes and non-Abelian Wilson lines
• Solving the Strong CP Problem with Discrete Symmetries and the Right Unitarity Triangle
• Large θ_13 in a SUSY SU(5)xT' Model
• The Cabibbo Angle in a Supersymmetric D14 Model
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• A note on discrete R symmetries in Z6-II orbifolds with Wilson lines
• Origin of family symmetries
• Revisiting Coupling Selection Rules in Heterotic Orbifold Models
• Proton Hexality in Local Grand Unification
• A Unified Model of Quarks and Leptons with a Universal Texture Zero
• New N=1 dualities from orientifold transitions - Part I: Field Theory
• New N=1 dualities from orientifold transitions - Part II: String Theory
• Non-Abelian discrete R symmetries
• Natural supersymmetric spectrum in mirage mediation
• Gauge-top unification
• Higgs versus Matter in the Heterotic Landscape
• Grand Unification in the Heterotic Brane World
• A low-scale flavon model with a $Z_N$ symmetry
• Outer Automorphism Anomalies
• Finite modular axion and radiative moduli stabilization
• Note on the space group selection rule for closed strings on orbifolds
• Non-Abelian Discrete Flavor Symmetries on Orbifolds
• Discrete Anomalies of Binary Groups
• Enhanced Symmetries of Orbifolds from Moduli Stabilization
• Flavor structure in D-brane models: Majorana neutrino masses
• Lepton mass and mixing in a Neutrino Mass Model based on $S_4$ flavor symmetry
• Supersymmetric unification and R symmetries
• Flavor structure in $SO(32)$ heterotic string theory
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• Anomalous Discrete Flavor Symmetry and Domain Wall Problem
• Anomaly of non-Abelian discrete symmetries
• Supersymmetric models on magnetized orbifolds with flux-induced Fayet-Iliopoulos terms
• Modular symmetry anomaly and non-perturbative neutrino mass terms in magnetized orbifold models
• Multiscalar $B-L$ extension based on $S_4$ flavor symmetry for neutrino mass and mixing
• Axion Like Particles and the Inverse Seesaw Mechanism
• Dark matter, singlet extensions of the nuMSM, and symmetries
• Mass hierarchy from the flavor symmetry in supersymmetric multi-Higgs doublet model
• Discrete Gauge Symmetry and Aharonov-Bohm Radiation in String Theory
• Gauge anomalies of finite groups
• Qualities of axion and LSP in Pati-Salam unification with $Z_4^R\times Z_N$ symmetry
• Lepton mass and mixing in a simple extension of the Standard Model based on T7 flavor symmetry
• Note on gauge and gravitational anomalies of discrete $Z_N$ symmetries
• Pocket Formulae for Non-Abelian Discrete Anomaly Freedom
• A Note on Proton Stability in the Standard Model
• Froggatt-Nielsen Meets the SMEFT
• Completing the eclectic flavor scheme of the ${\mathbb{Z}}_2$ orbifold
• SO(10) Grand Unification in M theory on a G2 manifold
• Revisiting the Universal Texture Zero of Flavour: a Markov Chain Monte Carlo Analysis
• Novel Flavon Stabilization with Trimaximal Neutrino Mixing
• Generalized Matter Parities from Finite Modular Symmetries
• Anomaly-safe discrete groups
• Gauge extension of non-Abelian discrete flavor symmetry
• Radiation of Supersymmetric Particles from Aharonov-Bohm R-string
• Constraining Affleck-Dine Leptogenesis after Thermal Inflation
• Discrete Anomaly Matching for the Pouliot Type Dualities
• CKM matrix and flavor symmetries
• Anomaly of 4d Weyl fermions with discrete symmetries