Results 1 to 10 of about 1,014,732 (356)
Geometry of complexity in conformal field theory [PDF]
Physical Review Research, 2020 We 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
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Elements of celestial conformal field theory [PDF]
Journal of High Energy Physics, 2022 In celestial holography, four-dimensional scattering amplitudes are considered as two-dimensional conformal correlators of a putative two-dimensional celestial conformal field theory (CCFT).
Wei Fan +4 more
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State-operator correspondence in celestial conformal field theory [PDF]
Journal of High Energy Physics, 2021 The bulk-to-boundary dictionary for 4D celestial holography is given a new entry defining 2D boundary states living on oriented circles on the celestial sphere.
Erin Crawley +3 more
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Light-ray operators in conformal field theory [PDF]
Journal of High Energy Physics, 2018 We 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
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Hecke relations in rational conformal field theory [PDF]
Journal of High Energy Physics, 2018 We 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
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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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Genus-one string amplitudes from conformal field theory [PDF]
Journal of High Energy Physics, 2019 We 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
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Quantum gravity from conformal field theory [PDF]
Journal of High Energy Physics, 2018 We bootstrap loop corrections to AdS5 supergravity amplitudes by enforcing the consistency of the known classical results with the operator product expansion of N $$ \mathcal{N} $$ = 4 super Yang-Mills theory.
F. Aprile +3 more
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On non-supersymmetric conformal manifolds: field theory and holography [PDF]
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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Loops in AdS from conformal field theory [PDF]
Journal of High Energy Physics, 2017 We propose and demonstrate a new use for conformal field theory (CFT) crossing equations in the context of AdS/CFT: the computation of loop amplitudes in AdS, dual to non-planar correlators in holographic CFTs. Loops in AdS are largely unexplored, mostly
Ofer Aharony +3 more
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