Conformal anomalies and the Einstein field equations
نویسندگان
چکیده
منابع مشابه
Conformal anomalies on Einstein spaces with Boundary
The anomalous rescaling for antisymmetric tensor fields, including gauge bosons, and Dirac fermions on Einstein spaces with boundary has been prone to errors and these are corrected here. The explicit calculations lead to some interesting identities that indicate a deeper underlying structure. Pacs numbers: 03.70.+k, 98.80.Cq Typeset using REVTEX
متن کاملEinstein Manifolds and Conformal Field Theories
In light of the AdS/CFT correspondence, it is natural to try to define a conformal field theory in a large N , strong coupling limit via a supergravity compactification on the product of an Einstein manifold and anti-de Sitter space. We consider the fivedimensional manifolds T pq which are coset spaces (SU(2)×SU(2))/U(1). The central charge and a part of the chiral spectrum are calculated, resp...
متن کاملOn the Einstein-Weyl and conformal self-duality equations
The equations governing anti-self-dual and Einstein-Weyl conformal geometries can be regarded as ‘master dispersionless systems’ in four and three dimensions respectively. Their integrability by twistor methods has been established by Penrose and Hitchin. In this note we present, in specially adapted coordinate systems, explicit forms of the corresponding equations and their Lax pairs. In parti...
متن کاملLocal twistors and the conformal field equations
This note establishes the connection between Friedrich’s conformal field equations and the conformally invariant formalism of local twistors. The conformal field equations as derived by Friedrich [7] have proved to be a valuable tool in both analytical and numerical work in general relativity. Not only has it been possible to derive global existence theorems for solutions of Einstein’s field eq...
متن کاملConformal mappings preserving the Einstein tensor of Weyl manifolds
In this paper, we obtain a necessary and sufficient condition for a conformal mapping between two Weyl manifolds to preserve Einstein tensor. Then we prove that some basic curvature tensors of $W_n$ are preserved by such a conformal mapping if and only if the covector field of the mapping is locally a gradient. Also, we obtained the relation between the scalar curvatures of the Weyl manifolds r...
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: Journal of High Energy Physics
سال: 2017
ISSN: 1029-8479
DOI: 10.1007/jhep04(2017)165