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Defects in conformal field theory [PDF]
Journal of High Energy Physics, 2016We discuss consequences of the breaking of conformal symmetry by a flat or spherical extended operator. We adapt the embedding formalism to the study of correlation functions of symmetric traceless tensors in the presence of the defect.
M. Billò+3 more
semanticscholar +11 more sources
Geometry of complexity in conformal field theory [PDF]
Physical Review Research, 2020We initiate quantitative studies of complexity in (1+1)-dimensional conformal field theories with a view that they provide the simplest setting to find a gravity dual to complexity.
Mario Flory, Michal P. Heller
doaj +7 more sources
Decoherence in Conformal Field Theory [PDF]
Journal of High Energy Physics, 2020Noise sources are ubiquitous in Nature and give rise to a description of quantum systems in terms of stochastic Hamiltonians. Decoherence dominates the noise-averaged dynamics and leads to dephasing and the decay of coherences in the eigenbasis of the ...
Adolfo del Campo, Tadashi Takayanagi
doaj +4 more sources
Light-ray operators in conformal field theory [PDF]
Journal of High Energy Physics, 2018We argue that every CFT contains light-ray operators labeled by a continuous spin J. When J is a positive integer, light-ray operators become integrals of local operators over a null line.
Petr Kravchuk, David Simmons-Duffin
doaj +2 more sources
Spinons in Conformal Field Theory [PDF]
Nuclear Physics B, 1994We study the $su(2)$ conformal field theory in its spinon description, adapted to the Yangian invariance. By evaluating the action of the Yangian generators on the primary fields, we find a new connection between this conformal field theory and the ...
Bardakci+24 more
core +5 more sources
Irrational Conformal Field Theory [PDF]
Physics Reports, 1995This is a review of irrational conformal field theory, which includes rational conformal field theory as a small subspace. Central topics of the review include the Virasoro master equation, its solutions and the dynamics of irrational conformal field ...
Ademollo+178 more
core +5 more sources
Hecke relations in rational conformal field theory [PDF]
Journal of High Energy Physics, 2018We define Hecke operators on vector-valued modular forms of the type that appear as characters of rational conformal field theories (RCFTs). These operators extend the previously studied Galois symmetry of the modular representation and fusion algebra of
Jeffrey A. Harvey, Yuxiao Wu
doaj +2 more sources
Genus-one string amplitudes from conformal field theory [PDF]
Journal of High Energy Physics, 2019We explore and exploit the relation between non-planar correlators in N $$ \mathcal{N} $$ = 4 super-Yang-Mills, and higher-genus closed string amplitudes in type IIB string theory.
Luis F. Alday+2 more
doaj +2 more sources
Axiomatic Conformal Field Theory [PDF]
Communications in Mathematical Physics, 1998A new rigorous approach to conformal field theory is presented. The basic objects are families of complex-valued amplitudes, which define a meromorphic conformal field theory (or chiral algebra) and which lead naturally to the definition of topological ...
Gaberdiel, Matthias R, Goddard, Peter
core +7 more sources
Conformal field theory complexity from Euler-Arnold equations [PDF]
Journal of High Energy Physics, 2020Defining complexity in quantum field theory is a difficult task, and the main challenge concerns going beyond free models and associated Gaussian states and operations.
Mario Flory, Michal P. Heller
doaj +2 more sources