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SUMMARY:Correlation functions of heavy half-BPS operators in planar N=4 SY
M
DTSTART;VALUE=DATE-TIME:20200702T121500Z
DTEND;VALUE=DATE-TIME:20200702T131500Z
DTSTAMP;VALUE=DATE-TIME:20201201T032019Z
UID:indico-event-26484@indico.desy.de
DESCRIPTION:I will report on a recent progress in computing four-point cor
relation functions of infinitely heavy half-BPS operators in planar N = 4
SYM. Taking advantage of integrability of the theory\, it has recently bee
n realized that these correlation functions can be constructed in terms of
fundamental building blocks - the octagon form factors. We demonstrate th
at these functions satisfy a system of nonlinear integro-differential equa
tions 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 ter
ms of ladder integrals. At strong coupling\, we develop a systematic expan
sion of the octagon in the inverse powers of the coupling constant and cal
culate accompanying expansion coefficients analytically.\n\nhttps://indico
.desy.de/event/26484/
LOCATION:
URL:https://indico.desy.de/event/26484/
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