TY  - JOUR
AU  - Barrat, Julien
AU  - Liendo, Pedro
AU  - Vliet, Philine Julia van
TI  - Line defect correlators in fermionic CFTs
JO  - Journal of high energy physics
VL  - 05
IS  - 5
SN  - 1126-6708
CY  - Heidelberg
PB  - Springer
M1  - PUBDB-2025-04376
M1  - arXiv:2304.13588
M1  - HU-EP-23/10-RTG
M1  - DESY-23-055
SP  - 146
PY  - 2025
N1  - 44 pages, ancillary Mathematica notebook. V2 includes fixed typos, clarifications, additional references. Version accepted for publication in JHEP
AB  - Scalar-fermion models, such as the Gross-Neveu-Yukawa model, admit natural 1d defects given by the exponential of a scalar field integrated along a straight line. In 4 − ε dimensions the defect coupling is weakly relevant and the setup defines a non-trivial interacting defect CFT. In this work we study correlation functions on these defect CFTs to order ε. We focus on 1d correlators constrained to the line, which include canonical operators like the displacement and the one-dimensional analog of the spin field. These results give access to perturbative CFT data that can be used as input in the numerical bootstrap. We also consider local operators outside the line, in particular two-point functions of scalars whose dynamics are non-trivial due to the presence of the defect.
KW  - field theory: conformal (INSPIRE)
KW  - operator: local (INSPIRE)
KW  - two-point function: scalar (INSPIRE)
KW  - dimension: 1 (INSPIRE)
KW  - field theory: scalar (INSPIRE)
KW  - defect (INSPIRE)
KW  - correlation function (INSPIRE)
KW  - bootstrap (INSPIRE)
KW  - spin (INSPIRE)
KW  - Renormalization Group (autogen)
KW  - Scale and Conformal Symmetries (autogen)
KW  - Field Theories in Higher Dimensions (autogen)
KW  - Field Theories in Lower Dimensions (autogen)
LB  - PUB:(DE-HGF)16
DO  - DOI:10.1007/JHEP05(2025)146
UR  - https://bib-pubdb1.desy.de/record/639275
ER  -