On conformal higher spins in curved background

DOI10.1088/1751-8121/aa5c5fzbMath1362.81084arXiv1609.09381OpenAlexW3104910543MaRDI QIDQ2978956

Maxim Grigoriev, Arkady A. Tseytlin

Publication date: 2 May 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.09381

zbMATH Keywords

curved backgroundconformal theoryhigher spins

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on curved space or space-time backgrounds (81T20) Gravitational interaction in quantum theory (81V17) Spinor and twistor methods applied to problems in quantum theory (81R25) Applications of global differential geometry to the sciences (53C80) Deformation quantization, star products (53D55)

Related Items

The renormalization structure of \(6D\), \(\mathcal{N} = (1, 0)\) supersymmetric higher-derivative gauge theory, Geometrical structure of Weyl invariants for spin three gauge field in general gravitational background in \(d = 4\), Conformal higher-spin gravity: linearized spectrum = symmetry algebra, Type-B formal higher spin gravity, Scattering of conformal higher spin fields, General light-cone gauge approach to conformal fields and applications to scalar and vector fields, Covariant action for conformal higher spin gravity, Notes on the \(L_\infty\)-approach to local gauge field theories, Conformal Yang-Mills field in arbitrary dimensions, \(C_T\) for conformal higher spin fields from partition function on conically deformed sphere, On the Weyl anomaly of 4D conformal higher spins: a holographic approach, Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields, On the structure of the conformal higher-spin wave operators, New locally (super)conformal gauge models in Bach-flat backgrounds, Fermionic continuous spin gauge field in (A)dS space, Conformal higher spin scattering amplitudes from twistor space, The Schouten tensor as a connection in the unfolding of 3D conformal higher-spin fields, On induced action for conformal higher spins in curved background, A calculation of the Weyl anomaly for 6D conformal higher spins, Conformal geometry and (super)conformal higher-spin gauge theories, Generalised conformal higher-spin fields in curved backgrounds, Extended superconformal higher-spin gauge theories in four dimensions

Cites Work

• Unnamed Item
• On conformal higher spin wave operators
• Effective action in a higher-spin background
• AdS description of induced higher-spin gauge theory
• Arbitrary spin conformal fields in (A)dS
• An explicit formula for the natural and conformally invariant quantization
• Conformal Einstein spaces
• Homogeneous Fedosov star products on cotangent bundles. II: GNS representations, the WKB expansion, traces, and applications
• A simple geometrical construction of deformation quantization
• Conformal higher spin theory
• Scalar scattering via conformal higher spin exchange
• On triviality of S-matrix in conformal higher spin theory
• Ordinary-derivative formulation of conformal totally symmetric arbitrary spin bosonic fields
• Higher-order singletons, partially massless fields, and their boundary values in the ambient approach
• On partition function and Weyl anomaly of conformal higher-spin fields
• Limiting cases of a superstring in AdS\(_5\times S^5\)
• Conformally invariant quantization -- towards the complete classification
• A Weyl-covariant tensor calculus
• POINT PARTICLE IN GENERAL BACKGROUND FIELDS AND FREE GAUGE THEORIES OF TRACELESS SYMMETRIC TENSORS
• On higher spin partition functions
• Cubic interaction in conformal theory of integer higher-spin fields in four-dimensional space-time