Further on the Aharonov-Bohm Green function: the coincidence limit
Abstract
For a scalar CFT with a monodromy defect, a `subtracted Green function' is derived in terms of an Appell $F_1$ function. A conjectured relation of Gimenez-Grau and Liendo is thereby proved and extended and shown to hold for generalised free fields. A possible means of determining the bulk block expansion is outlined. Finite coincidence limits are expressed as combinations of Beta functions.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2022
- DOI:
- arXiv:
- arXiv:2206.02706
- Bibcode:
- 2022arXiv220602706D
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 8 pages. Typing and other errors corrected. Comment added regarding the bulk block expansion