Conformal anomalies of CFT's with boundaries

Abstract

The trace anomaly of conformal field theories in four dimensions is characterized by '$a$' and '$c$'-functions. The scaling properties of the effective action of a CFT in the presence of boundaries is shown to be determined by $a$, $c$ 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 $c$ charge.

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

References in corpus (2)

• Universal Entanglement and Boundary Geometry in Conformal Field Theory
• Boundary terms of conformal anomaly

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