Results 11 to 20 of about 100,306 (158)
On the light-ray algebra in conformal field theories
Journal of High Energy Physics, 2022 We analyze the commutation relations of light-ray operators in conformal field theories. We first establish the algebra of light-ray operators built out of higher spin currents in free CFTs and find explicit expressions for the corresponding structure ...
Gregory P. Korchemsky +1 more
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Recursion relations for 5-point conformal blocks
Journal of High Energy Physics, 2021 We consider 5-point functions in conformal field theories in d > 2 dimensions. Using weight-shifting operators, we derive recursion relations which allow for the computation of arbitrary conformal blocks appearing in 5-point functions of scalar operators,
David Poland, Valentina Prilepina
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On local and integrated stress-tensor commutators
Journal of High Energy Physics, 2021 We discuss some general aspects of commutators of local operators in Lorentzian CFTs, which can be obtained from a suitable analytic continuation of the Euclidean operator product expansion (OPE).
Mert Besken +2 more
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On the existence of an L∞ structure for the super-Virasoro algebra
Journal of High Energy Physics, 2019 The appearance of L∞ structures for supersymmetric symmetry algebras in two-dimensional conformal field theories is investigated. Looking at the simplest concrete example of the N = 1 $$ \mathcal{N}=1 $$ super-Virasoro algebra in detail, we investigate ...
Ralph Blumenhagen, Max Brinkmann
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Higher-point conformal blocks in the comb channel
Journal of High Energy Physics, 2020 We compute M -point conformal blocks with scalar external and exchange operators in the so-called comb configuration for any M in any dimension d. Our computation involves repeated use of the operator product expansion to increase the number of external ...
Jean-François Fortin +2 more
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Momentum space parity-odd CFT 3-point functions
Journal of High Energy Physics, 2021 We study the parity-odd sector of 3-point functions comprising scalar operators and conserved currents in conformal field theories in momentum space. We use momentum space conformal Ward identities as well as spin-raising and weight-shifting operators to
Sachin Jain +4 more
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Crossing symmetry and Higher spin towers
Journal of High Energy Physics, 2017 We consider higher spin operators in weakly coupled gauge conformal field theories. Crossing symmetry of mixed scalar correlators relates different higher spin towers and we study the consequences for the spectrum and structure constants of higher spin ...
Luis F. Alday, Agnese Bissi
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The Lorentzian inversion formula and the spectrum of the 3d O(2) CFT
Journal of High Energy Physics, 2020 We study the spectrum and OPE coefficients of the three-dimensional critical O(2) model, using four-point functions of the leading scalars with charges 0, 1, and 2 (s, ϕ, and t).
Junyu Liu +3 more
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Conformal Symmetries of FRW Accelerating Cosmologies [PDF]
, 2013 We show that any accelerating Friedmann-Robertson-Walker (FRW) cosmology with equation of state w < -1/3 (and therefore not only a de Sitter stage with w =-1) exhibits three-dimensional conformal symmetry on future constant-time hypersurfaces.
Kehagias, A., Riotto, A.
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Exact conformal blocks for the W-algebras, twist fields and isomonodromic deformations [PDF]
, 2016 We consider the conformal blocks in the theories with extended conformal W-symmetry for the integer Virasoro central charges. We show that these blocks for the generalized twist fields on sphere can be computed exactly in terms of the free field theory ...
Gavrylenko, P., Marshakov, A.
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