Interface conformal anomalies

Conformal Anomalies – Recent Progress

Conformal anomalies on Einstein spaces with Boundary

The anomalous rescaling for antisymmetric tensor fields, including gauge bosons, and Dirac fermions on Einstein spaces with boundary has been prone to errors and these are corrected here. The explicit calculations lead to some interesting identities that indicate a deeper underlying structure. Pacs numbers: 03.70.+k, 98.80.Cq Typeset using REVTEX

A non-renormalization theorem for conformal anomalies

We provide a non-renormalization theorem for the coefficients of the conformal anomaly associated with operators with vanishing anomalous dimensions. Such operators include conserved currents and chiral operators in superconformal field theories. We illustrate the theorem by computing the conformal anomaly of 2-point functions both by a computation in the conformal field theory and via the adS/...

Superconformal constraints for QCD conformal anomalies

Anomalous superconformal Ward identities and commutator algebra in N = 1 super-Yang-Mills theory give rise to constraints between the QCD special conformal anomalies of conformal composite operators. We evaluate the superconformal anomalies that appear in the product of renormalized conformal operators and the trace anomaly in the supersymmetric spinor current and check the constraints at one-l...

Conformal Anomalies in Noncommutative Gauge Theories

We calculate conformal anomalies in noncommutative gauge theories by using path integral method (Fujikawa’s method). As well as the axial anomalies and chiral gauge anomalies, the conformal anomalies take the form of the straightforward Moyal deformation in the corresponding conformal anomalies in ordinary gauge theories. However, Moyal star product leads the difference in the coefficient of th...