A Twistorial Approach to Integrability in $\mathcal N=$ 4 SYM - INSPIRE

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A Twistorial Approach to Integrability in $\mathcal N=$ 4 SYM

Laura Koster
(
- Humboldt U., Berlin, Inst. Math. and
- Humboldt U., Berlin
)
,
Vladimir Mitev
(
- Humboldt U., Berlin, Inst. Math. and
- Humboldt U., Berlin
)
,
Matthias Staudacher
(
- Humboldt U., Berlin, Inst. Math. and
- Humboldt U., Berlin
)

Oct 23, 2014

6 pages

Published in:

Fortsch.Phys. 63 (2015) 2, 142-147

Published: 2015

e-Print:

1410.6310 [hep-th]

DOI:

10.1002/prop.201400085

Report number:

HU-Mathematik-2014-30,
HU-EP-14-41,
CERN-PH-TH-2014-200,
HU-MATHEMATIK-2014-30

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Abstract: (WILEY)

While the achievements in the study of Super Yang-Mills through the application of integrability are impressive, the precise origins of the exact solvability remain shrouded in mystery. In this note, we propose that viewing the problem through the lens of twistor theory should help to clarify the reasons for integrability. We illustrate the power of this approach by rederiving the model's one-loop spin chain dilatation operator in the SO(6) sector.

Note:

10 pages, 2 figures. This is the accepted version that has been published in Fortschritte der Physik 63, No. 2, 142-147 (2015)

twistors
integrable models
AdS/CFT
supersymmetric gauge theories
supersymmetry: 4
operator: dilation
spin: chain
integrability
twistor
SO(6)

References(12)

Figures(2)

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(
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)

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