Theoretical Physics Seminar: Gregory Korchemsky (Zoom)

  • Date: –15:15
  • Location:
  • Lecturer: Gregory Korchemsky
  • Organiser: Vladimir Procházka
  • Contact person: Vladimir Procházka
  • Seminarium

Exact correlation functions of heavy half-BPS operators in planar N=4 SYM

 I will report on a recent progress in computing four-point correlation functions of infinitely heavy half-BPS operators in planar N = 4 SYM. Taking advantage of integrability of the theory, it has recently been realized that these correlation functions can be constructed in terms of fundamental building blocks - the octagon form factors. We demonstrate that these functions satisfy a system of nonlinear integro-differential equations which are powerful enough to fully determine their dependence on the ’t Hooft coupling and two cross ratios. At weak coupling, solution to these equations yields a known series representation of the octagon in terms of ladder integrals. At strong coupling, we develop a systematic expansion of the octagon in the inverse powers of the coupling constant and calculate accompanying expansion coefficients analytically.