\(C_T\) for conformal higher spin fields from partition function on conically deformed sphere

DOI10.1007/JHEP09(2017)123zbMath1382.83115arXiv1707.02456MaRDI QIDQ1705995

Matteo Beccaria, Arkady A. Tseytlin

Publication date: 19 March 2018

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

Full work available at URL: https://arxiv.org/abs/1707.02456

zbMATH Keywords

conformal field theorysupergravity modelsAdS-CFT correspondence

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supergravity (83E50) Anomalies in quantum field theory (81T50) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Measures of information, entropy (94A17)

Related Items

Partition functions of higher derivative conformal fields on conformally related spaces, Conformal higher-spin gravity: linearized spectrum = symmetry algebra, GJMS-like operators on symmetric 2-tensors and their gravitational duals, On the Weyl anomaly of 4D conformal higher spins: a holographic approach, Free energy and boundary anomalies on \({\mathbb{S}}^a \times {\mathbb{H}}^b \) spaces, One-loop holographic Weyl anomaly in six dimensions, Hyperbolic cylinders and entanglement entropy: gravitons, higher spins, \(p\)-forms, Abelian M5-brane on Sq6, A calculation of the Weyl anomaly for 6D conformal higher spins, Nonabelian M5-brane on \(S^6_q\), One-loop divergences in 7D Einstein and 6D conformal gravities, Partition functions and entanglement entropy: Weyl graviton and conformal higher spin fields, Boundary and defect CFT: open problems and applications

Cites Work

• A universal feature of CFT Rényi entropy
• On conformal higher spin wave operators
• Rényi entropies for free field theories
• Effective action in a higher-spin background
• On induced action for conformal higher spins in curved background
• The component structure of conformal supergravity invariants in six dimensions
• \(C_T\) for higher derivative conformal fields and anomalies of (1, 0) superconformal 6d theories
• AdS description of induced higher-spin gauge theory
• One loop tests of higher spin AdS/CFT
• Arbitrary spin conformal fields in (A)dS
• Higher symmetries of the Laplacian
• Entanglement entropy, conformal invariance and extrinsic geometry
• The spectral geometry of a Riemannian manifold
• Conformal higher spin theory
• The holographic Weyl anomaly
• Invariants for minimal conformal supergravity in six dimensions
• Conformal anomaly c-coefficients of superconformal 6d theories
• On triviality of S-matrix in conformal higher spin theory
• A note on entanglement edge modes in Chern Simons theory
• Ordinary-derivative formulation of conformal totally symmetric arbitrary spin bosonic fields
• On partition function and Weyl anomaly of conformal higher-spin fields
• Weyl anomaly of conformal higher spins on six-sphere
• Limiting cases of a superstring in AdS\(_5\times S^5\)
• Cones, spins and heat kernels
• Conformal a-anomaly of some non-unitary 6d superconformal theories
• Higher Spin — CFT Duality
• On conformal higher spins in curved background
• 6D conformal gravity
• Massive scalar field near a cosmic string
• Heat kernel coefficients and spectra of the vector Laplacians on spherical domains with conical singularities
• Weyl cocycles
• The heat-kernel coefficient in the presence of boundary discontinuities
• On higher spin partition functions
• Eigenvalues and degeneracies for n-dimensional tensor spherical harmonics
• Conformal anomaly of \((2,0)\) tensor multiplet in six dimensions and AdS/CFT correspondence
• Quantizing gravity with a cosmological constant
• Renormalizable asymptotically free quantum theory of gravity
• Anomaly-free two-dimensional chiral supergravity -- matter models and consistent string theories