On integrability of classical superstrings in AdS(5) x S**5

Alday, Luis F.; Arutyunov, G.; Tseytlin, Arkady A.

doi:10.1088/1126-6708/2005/07/002

On integrability of classical superstrings in AdS(5) x S**5

Luis F. Alday
(
- Utrecht U.
)
,
G. Arutyunov
(
- Utrecht U.
)
,
Arkady A. Tseytlin
(
- Ohio State U. and
- Imperial Coll., London and
- Lebedev Inst.
)

Feb, 2005

31 pages

Published in:

JHEP 07 (2005) 002

e-Print:

hep-th/0502240 [hep-th]

DOI:

10.1088/1126-6708/2005/07/002

Report number:

ITP-05-09,
SPIN-05-07

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Abstract:

We explore integrability properties of superstring equations of motion in AdS_5 x S^5. We impose light-cone kappa-symmetry and reparametrization gauges and construct a Lax representation for the corresponding Hamiltonian dynamics on subspace of physical superstring degrees of freedom. We present some explicit results for the corresponding conserved charges by consistently reducing the dynamics to AdS_3 x S^3 and AdS_3 x S^1 subsectors containing both bosonic and fermionic fields.

string model
supersymmetry
dimension: 10
space-time: anti-de Sitter
space: S(5)
field theory: classical
integrability
field equations: solution
differential equations: Lax
invariance: reparametrization

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