English

Conformal anomaly of Wilson surface observables - a field theoretical computation

High Energy Physics - Theory 2009-11-10 v4

Abstract

We make an exact field theoretical computation of the conformal anomaly for two-dimensional submanifold observables. By including a scalar field in the definition for the Wilson surface, as appropriate for a spontaneously broken A_1 theory, we get a conformal anomaly which is such that N times it is equal to the anomaly that was computed in hep-th/9901021 in the large N limit and which relied on the AdS-CFT correspondence. We also show how the spherical surface observable can be expressed as a conformal anomaly.

Keywords

Cite

@article{arxiv.hep-th/0404150,
  title  = {Conformal anomaly of Wilson surface observables - a field theoretical computation},
  author = {Andreas Gustavsson},
  journal= {arXiv preprint arXiv:hep-th/0404150},
  year   = {2009}
}

Comments

18 pages, V3: an `i' dropped in the Wilson surface, overall normalization and misprints corrected, V4: overall normalization factor corrected, references added