Conformal anomalies of CFT’s with boundaries

Oct 6, 2015
9 pages
Published in:
  • JHEP 12 (2015) 112
  • Published: Dec 17, 2015
e-Print:

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Abstract: (Springer)
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.
Note:
  • 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
  • Conformal and W Symmetry
  • Conformal Field Models in String Theory
  • field theory: conformal
  • anomaly: conformal
  • boundary condition
  • effective action
  • trace anomaly
  • scaling