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Decoherence in Conformal Field Theory [PDF]
Journal of High Energy Physics, 2020 Noise 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
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Irrational conformal field theory [PDF]
Physics Reports, 1996 This 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 theory.
Halpern, M. B. +3 more
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Conformal field theory complexity from Euler-Arnold equations [PDF]
Journal of High Energy Physics, 2020 Defining 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
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Introduction to Conformal Field Theory [PDF]
Proceedings of Eighth Modave Summer School in Mathematical Physics — PoS(Modave VIII), 2013 An elementary introduction to Conformal Field Theory is provided. We start by reviewing symmetries in classical and quantum field theories and the associated existence of conserved currents by Noether’s theorem. Next we describe general facts on conformal invariance in d dimensions and finish with the analysis of the special case d = 2, including an ...
Antonin Rovai, Rovai, Antonin
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W symmetry in conformal field theory [PDF]
Physics Reports, 1993 137 pages (Corrections in Chapter 7 where some incorrect formulas were taken out, see `Note added' for Comments.)
Schoutens, K., Bouwknegt, P.
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Discreteness and integrality in Conformal Field Theory [PDF]
Journal of High Energy Physics, 2021 Various observables in compact CFTs are required to obey positivity, discreteness, and integrality. Positivity forms the crux of the conformal bootstrap, but understanding of the abstract implications of discreteness and integrality for the space of CFTs
Justin Kaidi, Eric Perlmutter
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On non-supersymmetric conformal manifolds: field theory and holography
Journal of High Energy Physics, 2017 We discuss the constraints that a conformal field theory should enjoy to admit exactly marginal deformations, i.e. to be part of a conformal manifold. In particular, using tools from conformal perturbation theory, we derive a sum rule from which one can ...
Vladimir Bashmakov +2 more
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, 1995 Conformal Field Theory (CFT) became a general technique in quantum field theory and its applications. One could say, in a sense, that for the critical phenomena in 2D statistical systems, and also for the string theory, the CFT plays the role similar to that which quantum mechanics plays for atomic physics.
Ketov, Sergei V
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On marginal operators in boundary conformal field theory
Journal of High Energy Physics, 2019 The presence of a boundary (or defect) in a conformal field theory allows one to generalize the notion of an exactly marginal deformation. Without a boundary, one must find an operator of protected scaling dimension ∆ equal to the space-time dimension d ...
Christopher P. Herzog, Itamar Shamir
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Global symmetry and conformal bootstrap in the two-dimensional $Q$-state Potts model
SciPost Physics, 2023 The Potts conformal field theory is an analytic continuation in the central charge of conformal field theory describing the critical two-dimensional $Q$-state Potts model.
Rongvoram Nivesvivat
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