On the Hopf algebra structure of the AdS/CFT S-matrix - INSPIRE

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On the Hopf algebra structure of the AdS/CFT S-matrix

Jan Plefka
(
- Humboldt U., Berlin
)
,
Fabian Spill
(
- Humboldt U., Berlin
)
,
Alessandro Torrielli
(
- Humboldt U., Berlin
)

Aug, 2006

11 pages

Published in:

Phys.Rev.D 74 (2006) 066008

e-Print:

hep-th/0608038 [hep-th]

DOI:

10.1103/PhysRevD.74.066008

Report number:

HU-EP-06-22

View in:

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Abstract:

We formulate the Hopf algebra underlying the su(2|2) worldsheet S-matrix of the AdS_5 x S^5 string in the AdS/CFT correspondence. For this we extend the previous construction in the su(1|2) subsector due to Janik to the full algebra by specifying the action of the coproduct and the antipode on the remaining generators. The nontriviality of the coproduct is determined by length-changing effects and results in an unusual central braiding. As an application we explicitly determine the antiparticle representation by means of the established antipode.

11.25.Tq
algebra: Hopf
symmetry: SU(2|2)
space-time: anti-de Sitter
field theory: conformal
S-matrix
antiparticle
algebra: deformation
charge conjugation

References(40)

Figures(0)

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Curtis G. Callan, Jr.
(
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(
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Curtis G. Callan, Jr.
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Sergey Frolov
(
)
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)
,
Marija Zamaklar
(
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N. Beisert
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