Boundary conformal anomalies on hyperbolic spaces and Euclidean balls

  title={Boundary conformal anomalies on hyperbolic spaces and Euclidean balls},
  author={Diego Rodŕıguez-G{\'o}mez and Jorge G Russo},
  journal={Journal of High Energy Physics},
A bstractWe compute conformal anomalies for conformal field theories with free conformal scalars and massless spin 1/2 fields in hyperbolic space ℍd and in the ball Bd$$ {\mathbb{B}}^d $$, for 2≤d≤7. These spaces are related by a conformal transformation. In even dimensional spaces, the conformal anomalies on ℍ2n and B2n$$ {\mathbb{B}}^{2n} $$ are shown to be identical. In odd dimensional spaces, the conformal anomaly on B2n+1$$ {\mathbb{B}}^{2n+1} $$ comes from a boundary contribution, which… 

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