Results 21 to 30 of about 2,282 (120)
Crossing, modular averages and N ↔ k in WZW models
Journal of High Energy Physics, 2019 We consider the construction of genus zero correlators of SU(N ) k WZW models involving two Kac-Moody primaries in the fundamental and two in the anti-fundamental representation from modular averaging of the contribution of the vacuum conformal block. We
Ratul Mahanta, Anshuman Maharana
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Journal of High Energy Physics, 2020 We study the 3-parametric family of vertex operator algebras based on the Grassmannian coset CFT u $$ \mathfrak{u} $$ (M + N ) k /( u $$ \mathfrak{u} $$ (M ) k × u $$ \mathfrak{u} $$ (N ) k ).
Lorenz Eberhardt, Tomáš Procházka
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Dispersion relations and exact bounds on CFT correlators
Journal of High Energy Physics, 2021 We derive new crossing-symmetric dispersion formulae for CFT correlators restricted to the line. The formulae are equivalent to the sum rules implied by what we call master functionals, which are analytic extremal functionals which act on the crossing ...
Miguel F. Paulos
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Journal of High Energy Physics, 2019 We study the Virasoro conformal block decomposition of the genus two partition function of a two-dimensional CFT by expanding around a ℤ3-invariant Riemann surface that is a three-fold cover of the Riemann sphere branched at four points, and explore ...
Minjae Cho, Scott Collier, Xi Yin
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The analytic bootstrap equations of non-diagonal two-dimensional CFT
Journal of High Energy Physics, 2018 Under the assumption that degenerate fields exist, diagonal CFTs such as Liouville theory can be solved analytically using the conformal bootstrap method. Here we generalize this approach to non-diagonal CFTs, i.e.
Santiago Migliaccio, Sylvain Ribault
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Harmonic analysis and mean field theory
Journal of High Energy Physics, 2019 We review some aspects of harmonic analysis for the Euclidean conformal group, including conformally-invariant pairings, the Plancherel measure, and the shadow transform.
Denis Karateev +2 more
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Perturbative four-point functions from the analytic conformal bootstrap
Journal of High Energy Physics, 2018 We apply the analytic conformal bootstrap method to study weakly coupled conformal gauge theories in four dimensions. We employ twist conformal blocks to find the most general form of the one-loop four-point correlation function of identical scalar ...
Johan Henriksson, Tomasz Lukowski
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Tauberian-Cardy formula with spin
Journal of High Energy Physics, 2020 We prove a 2 dimensional Tauberian theorem in context of 2 dimensional conformal field theory. The asymptotic density of states with conformal weight (h, h ¯ $$ \overline{h} $$ ) → (∞, ∞) for any arbitrary spin is derived using the theorem.
Sridip Pal, Zhengdi Sun
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New methods for conformal correlation functions
Journal of High Energy Physics, 2020 The most general operator product expansion in conformal field theory is obtained using the embedding space formalism and a new uplift for general quasi-primary operators. The uplift introduced here, based on quasi-primary operators with spinor in- dices
Jean-François Fortin, Witold Skiba
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Conformal conserved currents in embedding space
Journal of High Energy Physics, 2022 We study conformal conserved currents in arbitrary irreducible representations of the Lorentz group using the embedding space formalism. With the help of the operator product expansion, we first show that conservation conditions can be fully investigated
Jean-François Fortin +3 more
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