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Main Authors: Bartlett-Tisdall, Samuel, Ge, Dongsheng, Herzog, Christopher P.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.02871
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author Bartlett-Tisdall, Samuel
Ge, Dongsheng
Herzog, Christopher P.
author_facet Bartlett-Tisdall, Samuel
Ge, Dongsheng
Herzog, Christopher P.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_02871
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle How to get an interacting conformal line defect for free theories
Bartlett-Tisdall, Samuel
Ge, Dongsheng
Herzog, Christopher P.
High Energy Physics - Theory
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.
title How to get an interacting conformal line defect for free theories
topic High Energy Physics - Theory
url https://arxiv.org/abs/2510.02871