Conformal a-charge, correlation functions and conical defects

Abstract

In this note we demonstrate that, as we conjectured earlier in [1], the a-charge in the conformal anomaly in dimension $d=2n$ manifests in a $n$-point correlation function of energy momentum tensor of a CFT considered in flat spacetime with a conical defect. We consider in detail dimensions $d=2,4,6$ and give a general formula for arbitrary $n$.

10 pages; v2: new references added + several remarks on absence of contribution from anomaly of type B added

References in corpus (17)

• Aspects of Holographic Entanglement Entropy
• Towards a derivation of holographic entanglement entropy
• On Geometric Entropy
• On Renormalization Group Flows in Four Dimensions
• Implications of Conformal Invariance in Field Theories for General Dimensions
• Holographic c-theorems in arbitrary dimensions
• Twenty Years of the Weyl Anomaly
• Entanglement entropy of black holes
• Geometric Classification of Conformal Anomalies in Arbitrary Dimensions
• A finite entanglement entropy and the c-theorem
• Seeing a c-theorem with holography
• Entanglement entropy, conformal invariance and extrinsic geometry
• The Constraints of Conformal Symmetry on RG Flows
• On the Description of the Riemannian Geometry in the Presence of Conical Defects
• Entanglement Entropy Flow and the Ward Identity
• The a-theorem and entanglement entropy
• Correlation functions on conical defects

Cited by in corpus (4)

• Entanglement Entropy for Relevant and Geometric Perturbations
• Renormalization group flow of entanglement entropy on spheres
• Correlation functions on conical defects
• Parity-odd surface anomalies and correlation functions on conical defects