Topological field theory with Haagerup symmetry

Article Physics, Particles & Fields

Lorentzian dynamics and factorization beyond rationality

Chi-Ming Chang et al.

Summary: The study investigates the emergence of topological defect lines in the conformal Regge limit of two-dimensional conformal field theory and their effects on local operators. It delves into the factorization of local operators into holomorphic and anti-holomorphic defect operators connected by topological defect lines, and explores the implications for analyticity and Lorentzian dynamics, including aspects of chaos. The research also establishes a formula linking the infinite boost limit to the action of topological defect lines on local operators, with applications in understanding the opacity of bulk scattering.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

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Article Physics, Particles & Fields

Symmetries and strings of adjoint QCD2

Zohar Komargodski et al.

Summary: The study revisits the symmetries of massless two-dimensional adjoint QCD with gauge group SU(N) and uncovers non-invertible symmetries severely constraining possible infrared phases and massive excitations. The theory enforces deconfinement of the fundamental quark through these new symmetries and exhibits soft breaking when the adjoint quark has a small mass. Additionally, the research delves into the dynamics of adjoint QCD deformed by symmetric quartic fermion interactions, suggesting partial confinement for the deformed theory and discussing emergent supersymmetry at nonzero mass.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

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Article Astronomy & Astrophysics

ZN symmetries, anomalies, and the modular bootstrap

Ying-Hsuan Lin et al.

Summary: This paper explores constraints on (1 + 1)d unitary conformal field theory with an internal Z(N) global symmetry, by bounding the lightest symmetry-preserving scalar primary operator using the modular bootstrap. Amongst other constraints found, it is proven that a Z(N)-symmetric relevant/marginal operator exists under specific conditions, with stronger bounds dependent on the 't Hooft anomaly of the Z(N) symmetry.

PHYSICAL REVIEW D (2021)

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Article Physics, Multidisciplinary