English

Conformal anomalies of CFT's with boundaries

High Energy Physics - Theory 2016-01-27 v2

Abstract

The trace anomaly of conformal field theories in four dimensions is characterized by 'aa' and 'cc'-functions. The scaling properties of the effective action of a CFT in the presence of boundaries is shown to be determined by aa, cc and two new functions (charges) related to boundary effects. The boundary charges are computed for different theories and different boundary conditions. One of the boundary charges depends on the bulk cc charge.

Keywords

Cite

@article{arxiv.1510.01427,
  title  = {Conformal anomalies of CFT's with boundaries},
  author = {Dmitri Fursaev},
  journal= {arXiv preprint arXiv:1510.01427},
  year   = {2016}
}

Comments

9 pages, no figures, misprints in Table 1 and typos corrected, new references added, a possible relation between boundary and bulk charges is pointed out