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High Energy Physics - Theory

arXiv:1805.10427 (hep-th)
[Submitted on 26 May 2018 (v1), last revised 24 Jul 2018 (this version, v2)]

Title:Conformal Manifolds with Boundaries or Defects

Authors:Andreas Karch, Yoshiki Sato
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Abstract:We discuss conformal manifolds for conformal field theories with boundaries or defects. Using conformal perturbation theory we derive constraints on coefficients appearing in the boundary operator product expansion and three-point functions that need to be satisfied for the existence of marginal couplings. We present several explicit examples where we confirm that $\beta$-functions vanish using a position space regularization, differential regularization. Where possible, we confirm that our $\beta$-function results agree with the existing literature.
Comments: 17 pages, 1 figure, v2: published version in JHEP
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:1805.10427 [hep-th]
  (or arXiv:1805.10427v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1805.10427
Related DOI: https://doi.org/10.1007/JHEP07%282018%29156

Submission history

From: Yoshiki Sato [view email]
[v1] Sat, 26 May 2018 04:52:42 UTC (16 KB)
[v2] Tue, 24 Jul 2018 02:02:03 UTC (16 KB)
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