High Energy Physics - Theory
[Submitted on 3 Oct 2025
]
Title: How to get an interacting conformal line defect for free theories
Title: 如何为自由理论获得相互作用的共形线缺陷
Abstract: We argue that interacting conformal line defects in free quantum field theories can exist, provided that inversion symmetry is broken. Important for our demonstration is the existence of a special cross ratio for bulk-defect-defect three point functions that is invariant under the conformal group but picks up a sign under inversion. We examine the particular case of a free scalar field in detail, and provide a toy model example where this bulk field interacts via a Yukawa term with fermions on the line. We expect nontrivial line defects may also exist for free Maxwell theory in four dimensions and free bulk fermions.
Submission history
From: Samuel Bartlett-Tisdall [view email][v1] Fri, 3 Oct 2025 10:16:43 UTC (706 KB)
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