The Off-shell Symmetry Algebra of the Light-cone AdS(5) x S**5 Superstring - INSPIRE

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The Off-shell Symmetry Algebra of the Light-cone AdS(5) x S**5 Superstring

Gleb Arutyunov
(
- Utrecht U.
)
,
Sergey Frolov
(
- Trinity Coll., Dublin
)
,
Jan Plefka
(
- Humboldt U., Berlin
)
,
Marija Zamaklar
(
- Potsdam, Max Planck Inst.
)

Sep, 2006

30 pages

Published in:

J.Phys.A 40 (2007) 3583-3606

e-Print:

hep-th/0609157 [hep-th]

DOI:

10.1088/1751-8113/40/13/018

Report number:

AEI-2006-071,
HU-EP-06-31,
ITP-UU-06-39,
SPIN-06-33,
TCDMATH-06-13

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Abstract:

We analyze the psu(2,2|4) supersymmetry algebra of a superstring propagating in the AdS_5 x S^5 background in the uniform light-cone gauge. We consider the off-shell theory by relaxing the level-matching condition and take the limit of infinite light-cone momentum, which decompactifies the string world-sheet. We focus on the psu(2|2)+psu(2|2) subalgebra which leaves the light-cone Hamiltonian invariant and show that it undergoes extension by a central element which is expressed in terms of the level-matching operator. This result is in agreement with the conjectured symmetry algebra of the dynamic S-matrix in the dual N=4 gauge theory.

Note:

30 pages, one figure Report-no: AEI-2006-071, HU-EP-06/31, ITP-UU-06-39, TCDMATH 06-13

11.30.Pb
11.25.-w
11.25.Hf
supersymmetry: algebra
superstring
space-time: anti-de Sitter
light cone gauge
string model
space: S(5)
dimension: 10

References(33)

Figures(0)

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