Resummation at finite conformal spin

DOI10.1007/JHEP01(2019)077zbMath1447.81177arXiv1811.00213OpenAlexW3099583903MaRDI QIDQ667137

Kallol Sen, Surya Kiran Kanumilli, Sunny Guha, Carlos A. Cardona

Publication date: 12 March 2019

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.00213

zbMATH Keywords

conformal field theoryfield theories in higher dimensions

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Anomalies in quantum field theory (81T50) Spinor and twistor methods applied to problems in quantum theory (81R25) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Inelastic and multichannel quantum scattering (81U35)

Related Items (19)

Four-point correlation modular bootstrap for OPE densities ⋮ Closed-form expression for cross-channel conformal blocks near the lightcone ⋮ An alternative to diagrams for the critical O\((N)\) model: dimensions and structure constants to order \(1/N^2\) ⋮ Precision bootstrap for the \(\mathcal{N} = 1\) super-Ising model ⋮ Crossing symmetry, transcendentality and the Regge behaviour of 1d CFTs ⋮ Nonperturbative Mellin amplitudes: existence, properties, applications ⋮ Virasoro blocks at large exchange dimension ⋮ Distributions in CFT. II: Minkowski space ⋮ A conformal dispersion relation: correlations from absorption ⋮ Lorentzian inversion and anomalous dimensions in Mellin space ⋮ The Lorentzian inversion formula and the spectrum of the 3d O(2) CFT ⋮ The inversion formula and 6j symbol for 3d fermions ⋮ More analytic bootstrap: nonperturbative effects and fermions ⋮ Black holes and conformal Regge bootstrap ⋮ Reparametrization modes, shadow operators, and quantum chaos in higher-dimensional CFTs ⋮ Factorized lightcone expansion of conformal blocks ⋮ Quantum Regge trajectories and the Virasoro analytic bootstrap ⋮ Higher spin ANEC and the space of CFTs ⋮ Lightcone expansions of conformal blocks in closed form

Cites Work

• Bootstrapping the \(O\)(\(N\) ) vector models
• EPFL lectures on conformal field theory in \(D \geq 3\) dimensions
• Nonlinear symmetries of perfectly invisible \textit{PT}-regularized conformal and superconformal mechanics systems
• The analytic bootstrap and AdS superhorizon locality
• Bounding scalar operator dimensions in 4D CFT
• Conformal partial waves and the operator product expansion
• Anomalous dimensions at finite conformal spin from OPE inversion
• Conformal bootstrap with slightly broken higher spin symmetry
• An algebraic approach to the analytic bootstrap
• The lightcone bootstrap and the spectrum of the 3d Ising CFT
• Holographic reconstruction of AdS exchanges from crossing symmetry
• Analyticity in spin in conformal theories
• Crossing symmetry in alpha space
• The analytic bootstrap for large \(N\) Chern-Simons vector models
• Conformal Regge theory
• Solving the 3d Ising model with the conformal bootstrap. II: \(c\)-minimization and precise critical exponents
• A spacetime derivation of the Lorentzian OPE inversion formula
• $d$-dimensional SYK, AdS loops, and $6j$ symbols
• Universal anomalous dimensions at large spin and large twist
• Analytic bootstrap at large spin
• Large spin systematics in CFT
• Derivatives of any order of the Gaussian hypergeometric function₂F₁(a,b,c;z) with respect to the parametersa,bandc
• Conformal four point functions and the operator product expansion
• Spinning Mellin Bootstrap: Conformal Partial Waves, Crossing Kernels and Applications
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