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 (6)

• Towards a derivation of holographic entanglement entropy
• Holographic c-theorems in arbitrary dimensions
• Seeing a c-theorem with holography
• Entanglement entropy, conformal invariance and extrinsic geometry
• Entanglement Entropy Flow and the Ward Identity
• Correlation functions on conical defects

Cited by in corpus (2)

• Entanglement Entropy for Relevant and Geometric Perturbations
• Correlation functions on conical defects