PyCFTBoot: A Flexible Interface for the Conformal Bootstrap

DOI10.4208/cicp.OA-2016-0107zbMath1488.65136arXiv1602.02810MaRDI QIDQ5159045

Connor Behan

Publication date: 26 October 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.02810

zbMATH Keywords

semidefinite programmingCFTconformal bootstrappython

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical mathematical programming methods (65K05) Semidefinite programming (90C22)

Related Items (21)

Bootstrapping the half-BPS line defect ⋮ Bootstrapping the long-range Ising model in three dimensions ⋮ Projectors and seed conformal blocks for traceless mixed-symmetry tensors ⋮ Radial expansion for spinning conformal blocks ⋮ Bootstrapping hypercubic and hypertetrahedral theories in three dimensions ⋮ Bootstrapping boundary-localized interactions ⋮ Bootstrapping line defects in \(\mathcal{N} = 2\) theories ⋮ The lightcone bootstrap and the spectrum of the 3d Ising CFT ⋮ Analytic bootstrap of mixed correlators in the \(O(n)\) CFT ⋮ The critical \(O(N)\) CFT: methods and conformal data ⋮ Weizmann lectures on the numerical conformal bootstrap ⋮ Conformal four-point correlation functions from the operator product expansion ⋮ Critical Ising model in varying dimension by conformal bootstrap ⋮ General bootstrap equations in 4D CFTs ⋮ Casimir recursion relations for general conformal blocks ⋮ Weight shifting operators and conformal blocks ⋮ Recursion relation for general 3d blocks ⋮ PyCFTBoot ⋮ Scalar-fermion analytic bootstrap in 4D ⋮ New methods for conformal correlation functions ⋮ Bootstrapping boundary-localized interactions. II: Minimal models at the boundary

Uses Software

• ORTHPOL
• SymPy
• NumPy
• ConformalBlocks
• SDPB
• JuliBootS

Cites Work

• Unnamed Item
• Projectors, shadows, and conformal blocks
• Bootstrapping the \(O\)(\(N\) ) vector models
• Bounds on 4D conformal and superconformal field theories
• Diagonal limit for conformal blocks in \(d\) dimensions
• Conformal blocks in the large \(D\) limit
• Bounding scalar operator dimensions in 4D CFT
• Conformal partial waves and the operator product expansion
• Bootstrapping \( \mathcal{N}=2 \) chiral correlators
• Accidental symmetries and the conformal bootstrap
• Scalar-vector bootstrap
• Seed conformal blocks in 4D CFT
• The \( \mathcal{N}=2 \) superconformal bootstrap
• Fermion-scalar conformal blocks
• Bootstrapping \(O(N)\) vector models with four supercharges in \(3\leq d\leq 4\)
• Towards bootstrapping \(QED_{3}\)
• Recursion relations for conformal blocks
• Conformal correlators of mixed-symmetry tensors
• No unitary bootstrap for the fractal Ising model
• The large-\(N\) limit of superconformal field theories and supergravity
• Solving the 3d Ising model with the conformal bootstrap. II: \(c\)-minimization and precise critical exponents
• Spinning conformal blocks
• Spinning conformal correlators
• Deconstructing conformal blocks in 4D CFT
• On the four-point function of the stress-energy tensors in a CFT
• Bootstrapping the \(O\)(\(N\)) archipelago
• Exploring the minimal 4D \( \mathcal{N}=1 \) SCFT
• Bounds in 4D conformal field theories with global symmetry
• Algorithm 726: ORTHPOL–a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
• Conformal four point functions and the operator product expansion
• Superconformal symmetry, correlation functions and the operator product expansion

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