Four-Point Functions with a Twist

Bargheer, Till

doi:10.1088/1751-8121/aa9cc0

Four-Point Functions with a Twist

Till Bargheer
(
- DESY
)

Jan 16, 2017

26 pages

Published in:

J.Phys.A 51 (2018) 3, 035401

Published: 2017

e-Print:

1701.04424 [hep-th]

DOI:

10.1088/1751-8121/aa9cc0

Report number:

DESY-16-248

View in:

pdf

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Abstract: (IOP)

We study the OPE of correlation functions of local operators in planar super Yang–Mills theory. The considered operators have an explicit spacetime dependence that is defined by twisting the translation generators with certain R-symmetry generators. We restrict to operators that carry a small number of excitations above the twisted BMN vacuum. The OPE limit of the four-point correlator is dominated by internal states with few magnons on top of the vacuum. The twisting directly couples all spacetime dependence of the correlator to these magnons. We analyze the OPE in detail, and single out the extremal states that have to cancel all double-trace contributions.

Note:

24 pages, 3 figures; v2+v3: references added/updated, minor clarifications, typos fixed, published version

supersymmetry: 4
operator: local
n-point function: 4
operator product expansion
correlation function
space-time dependence
magnon
twist
R symmetry

References(26)

Figures(3)

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