Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 9, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP09(2018)134
Keywords
Conformal Field Theory; Space-Time Symmetries
Categories
Funding
- JSPS [15K17628, 16H02182]
- Program for Leading Graduate Schools, MEXT, Japan
- World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan
- Grants-in-Aid for Scientific Research [15K17628] Funding Source: KAKEN
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We consider conformal defects with spins under the rotation group acting on the transverse directions. They are described in the embedding space formalism in a similar manner to spinning local operators, and their correlation functions with bulk and defect local operators are determined by the conformal symmetry. The operator product expansion (OPE) structure of spinning conformal defects is examined by decomposing it into the spinning defect OPE block that packages all the contribution from a conformal multiplet. The integral representation of the block derived in the shadow formalism is facilitated to deduce recursion relations for correlation functions of two spinning conformal defects. In simple cases, we construct spinning defect correlators by acting differential operators recursively on scalar defect correlators.
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