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Null Polygons in Conformal Gauge Theory

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Author(s):
Olivucci, Enrico ; Vieira, Pedro
Total Authors: 2
Document type: Journal article
Source: Physical Review Letters; v. 129, n. 22, p. 7-pg., 2022-11-21.
Abstract

We consider correlation functions of single trace operators approaching the cusps of null polygons in a double-scaling limit where so-called cusp times t(i)(2) = g(2) log x(i-1,i)(2) logx(i,i+1)(2) are held fixed and the 't Hooft coupling is small. With the help of stampedes, symbols, and educated guesses, we find that any such correlator can be uniquely fixed through a set of coupled lattice PDEs of Toda type with several intriguing novel features. These results hold for most conformal gauge theories with a large number of colors, including planar N = 4 SYM. (AU)

FAPESP's process: 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
Grantee:Nathan Jacob Berkovits
Support Opportunities: Special Projects