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SUMMARY:Consequences of symmetry-breaking on conformal defect data - Phili
 ne van Vliet (CNRS - Ecole Normale Superieure Paris)
DTSTART:20251210T103000Z
DTEND:20251210T113000Z
UID:TALK239236@talks.cam.ac.uk
DESCRIPTION:Conformal defects break part of the symmetry of a bulk CFT. Th
 e broken Ward identities lead to very general sum rules on the defect CFT 
 data as well as on the data of bulk operators in the presence of a defect.
  We call these sum rules "defect soft theorems"\, and they hold generally 
 for defects which break conformal symmetry\, flavor symmetry\, or supersym
 metry. In this talk I will focus on line defects for which we can rewrite 
 the constraints in dispersive sum rule form\, and show how the defect soft
  theorems impose constraints on the defect spectrum and OPE coefficients.&
 nbsp\;\nThis talk is based on https://arxiv.org/pdf/2509.26561 with B. Gir
 ault and M. Paulos\, and on work in progress with G. Bliard\, J. Julius\, 
 M. Paulos and N. Suchel.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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