# Complex Spin: The Missing Zeroes and Newton’s Dark Magic

### APA

Homrich, A. (2023). Complex Spin: The Missing Zeroes and Newton’s Dark Magic. Perimeter Institute. https://pirsa.org/23010115

### MLA

Homrich, Alexandre. Complex Spin: The Missing Zeroes and Newton’s Dark Magic. Perimeter Institute, Jan. 31, 2023, https://pirsa.org/23010115

### BibTex

@misc{ pirsa_23010115, doi = {10.48660/23010115}, url = {https://pirsa.org/23010115}, author = {Homrich, Alexandre}, keywords = {Quantum Fields and Strings}, language = {en}, title = {Complex Spin: The Missing Zeroes and Newton{\textquoteright}s Dark Magic}, publisher = {Perimeter Institute}, year = {2023}, month = {jan}, note = {PIRSA:23010115 see, \url{https://pirsa.org}} }

Alexandre Homrich Perimeter Institute for Theoretical Physics

## Abstract

Conformal Regge theory predicts the existence of analytically continued CFT data for complex spin. How could this work when there are so many more local operators with large spin compared to small spin? Using planar N=4 SYM as a testground we find a simple physical picture. Local operators do organize themselves into analytic families but the continuation of the higher families have zeroes in their structure OPE constants for lower integer spins. They thus decouple. Newton's interpolation series technique is perfectly suited to this physical problem and will allow us to explore the right complex spin half-plane.