Monodromy defects from hyperbolic space (Sep. 8, 2021)

  • Published: 2021-09-04

Time: 10:00am, Sep. 8 (Wedn.). 2021

Location (onsite): 4th Floor Meeting Room, KITS Building [View Map]
 
Speaker: Ziming Ji (Princeton University)
 
Abstract:
Conformal defects are extended objects in a conformal field theory, which preserve a subgroup of the original conformal symmetry. A monodromy defect is a codimension two defect defined by the monodromy of fields in the bulk. I will first talk about generalities of conformal defects and monodromy defects. Then I will discuss monodromy defects in O(N) scalar field theories in d dimension. Using a map to the hyperbolic space, we can study the free energy, discuss defect RG flow, and obtain the defect CFT data. Large N analysis is compared to an epsilon expansion. A conjecture about the monotonicity of free energy during the defect RG flow is checked. We also obtain various one-point, two-point, and four-point functions.



Our paper: https://arxiv.org/abs/2102.11815
Defect CFT: https://arxiv.org/abs/1601.02883
Line defect in 3D: https://arxiv.org/abs/1304.4110https://arxiv.org/abs/1310.5078

 

Invited by Prof. Xi-Nan Zhou

 

 

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