Abstract
We study a surface defect in the free and critical O(N) vector models, defined by adding a quadratic perturbation localized on a two-dimensional subspace of the d-dimensional CFT. We compute the beta function for the corresponding defect renormalization group (RG) flow, and provide evidence that at long distances the system flows to a nontrivial defect conformal field theory (DCFT). We use epsilon and large N expansions to compute several physical quantities in the DCFT, finding agreement across different expansion methods. We also compute the defect free energy, and check consistency with the so-called b-theorem for RG flows on surface defects.
Original language | English (US) |
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Article number | 4 |
Journal | Journal of High Energy Physics |
Volume | 2023 |
Issue number | 12 |
DOIs | |
State | Published - Dec 2023 |
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
Keywords
- Renormalization Group
- Scale and Conformal Symmetries