Conformally covariant operators of mixed-symmetry tensors and MAGs
نویسندگان
چکیده
Abstract We compute conformally covariant actions and operators for tensors with mixed symmetries in arbitrary dimension d. Our results complete the classification of conformal that are quadratic on three indices, which allows to write corresponding all tensor species appear decomposition distorsion an metric-affine theory gravity including both torsion nonmetricity. also discuss degrees freedom such theories propagating, as well interacting enjoy Gaussian limit.
منابع مشابه
Conformally Covariant Differential Operators: Properties and Applications
We discuss conformally covariant differential operators, which under local rescalings of the metric, δσg μν = 2σg , transform according to δσ∆ = r∆σ+(s−r)σ∆ for some r if ∆ is s th order. It is shown that the flat space restrictions of their associated Green functions have forms which are strongly constrained by flat space conformal invariance. The same applies to the variation of the Green fun...
متن کاملConformally Covariant Differential Operators: Symmetric Tensor Fields
We extend previous work on conformally covariant differential operators to consider the case of second order operators acting on symmetric traceless tensor fields. The corresponding flat space Green function is explicitly constructed and shown to be in accord with the requirements of conformal invariance. PACS: 03.70.+k; 11.10.Kk; 11.25.Hf; 11.30.Ly
متن کاملConformal Invariants Associated to a Measure, Ii: Conformally Covariant Operators
In this paper we continue to study Riemannian manifolds (M, g) equipped with a smooth measure m. In particular, we show that the construction of conformally covariant operators due to Graham-Jenne-Mason-Sparling can be adapted to this setting. As a by-product, we define a family of scalar curvatures, one of which corresponds to Perelman’s scalar curvature function. We also study the variational...
متن کاملConformal Invariants Associated to a Measure: Conformally Covariant Operators
In this paper we study Riemannian manifolds (M, g) equipped with a smooth measure m. In particular, we show that the construction of conformally covariant operators due to Graham-Jenne-Mason-Sparling can be adapted to this setting. As a by-product, we define a family of scalar curvatures, one of which corresponds to Perelman’s scalar curvature function. We also study the variational problem nat...
متن کاملOn Conformally Covariant Powers of the Laplacian
We propose and discuss recursive formulae for conformally covariant powers P2N of the Laplacian (GJMS-operators). For locally conformally flat metrics, these describe the non-constant part of any GJMS-operator as the sum of a certain linear combination of compositions of lower order GJMS-operators (primary part) and a second-order operator which is defined by the Schouten tensor (secondary part...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2023
ISSN: ['1361-6382', '0264-9381']
DOI: https://doi.org/10.1088/1361-6382/acf9d8