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Sine-Gordon-like action for the Superstring in AdS(5) x S(5) · Around

2007

Sine-Gordon-like action for the Superstring in AdS(5) x S(5)

Mikhailov, Andrei, Schafer-Nameki, Sakura

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We propose an action for a sine-Gordon-like theory, which reproduces the classical equations of motion of the Green-Schwarz-Metsaev-Tseytlin superstring on AdS(5) x S(5).

The action is relativistically invariant.
It is a mass-deformed gauged WZW model for SO(4,1) x SO(5) / SO(4) x SO(4) interacting with fermions.

Built on

F. A. Smirnov, Connection between the sine-Gordon model and the massive Bose-Thirring model
1982
Earlier work this paper cites.
L. D. Faddeev and N. Y. Reshetikhin, Integrability of the principal chiral field model in (1+1)- dimension
1986
Earlier work this paper cites.

Similar

N. Reshetikhin and F. Smirnov, Hidden quantum group symmetry and integrable perturbations of conformal field theories
1990
Cited alongside, same era.
D. Bernard and A. Leclair, Quantum group symmetries and nonlocal currents in 2-d QFT
1991
Cited alongside, same era.
A. Mikhailov, Bihamiltonian structure of the classical superstring in AdS(5) x S(5)
Cited in the paper.
M. Grigoriev and A. A. Tseytlin, Pohlmeyer reduction of AdS(5) x S(5) superstring sigma-model
Original
Cited in the paper.
A. Mikhailov and S. Schafer-Nameki, Perturbative study of the transfer matrix on the string worldsheet in AdS(5) x S(5)
Original
Cited in the paper.

Then

I. Bakas, Q.-H. Park, and H.-J. Shin, Lagrangian formulation of symmetric space sine-Gordon models
1996
Later among the works it cites.
R. R. Metsaev and A. A. Tseytlin, Type IIB superstring action in AdS(5) x S(5) background
1998
Later among the works it cites.

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