Journal
PHYSICAL REVIEW D
Volume 100, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.100.126018
Keywords
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Funding
- European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant [749909]
- Marie Curie Actions (MSCA) [749909] Funding Source: Marie Curie Actions (MSCA)
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We deform a defect conformal field theory by an exactly marginal bulk operator and we consider the dependence on the marginal coupling of flat and spherical defect expectation values. For odd-dimensional defects, we find a different qualitative behavior for the flat and spherical case, generalizing to arbitrary dimensions the line-circle anomaly of superconformal Wilson loops. In the even-dimensional case, on the other hand, we find a logarithmic divergence which can be related to a a-type anomaly coefficient. This coefficient, for defect theories, is not invariant on the conformal manifold and its dependence on the bulk coupling is controlled to all orders by the one-point function of the associated exactly marginal operator. In particular, our results imply a nontrivial dependence on the bulk coupling for the recently proposed defect C-function. We finally apply our general result to a few specific examples, including superconformal Wilson loops and Renyi entropy.
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