English

Conformal a-charge, correlation functions and conical defects

High Energy Physics - Theory 2015-06-22 v2 Statistical Mechanics General Relativity and Quantum Cosmology

Abstract

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

Keywords

Cite

@article{arxiv.1406.5368,
  title  = {Conformal a-charge, correlation functions and conical defects},
  author = {Sergey N. Solodukhin},
  journal= {arXiv preprint arXiv:1406.5368},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-22T04:43:15.361Z