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Spinning conformal defects

delete2018-09-24
delete26
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OA
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N
Nozomu Kobayashi *
T
Tatsuma Nishioka
DOI:10.1007/JHEP09(2018)134delete
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Abstract

Abstract

En 中文
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.
Keywords:
Conformal Field Theory
Space-Time Symmetries

Journal

Journal of High Energy Physics cover
Journal of High Energy Physics
IF:
5.5
Papers:
3.9W
Citations:
13.7W

Organization

U
University of Tokyo
Scholars:
7.1W
Papers: 6.5W
Citations: 2.2K