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• W2006566406 abstract "We discuss $2d$ duality transformations in the classical ${mathrm{AdS}}_{5}ifmmodetimeselsetexttimesfi{}{S}^{5}$ superstring and their effect on the integrable structure. $T$-duality along four directions in the Poincar'e parametrization of ${mathrm{AdS}}_{5}$ maps the bosonic part of the superstring action into itself. On the bosonic level, this duality may be understood as a symmetry of the first-order (phase space) system of equations for the coset components of the current. The associated Lax connection is invariant modulo the action of an $mathfrak{s}mathfrak{o}(2,4)$-automorphism. We then show that this symmetry extends to the full superstring, provided one supplements the transformation of the bosonic components of the current with a transformation on the fermionic ones. At the level of the action, this symmetry can be seen by combining the bosonic duality transformation with a similar one applied to part of the fermionic superstring coordinates. As a result, the full superstring action is mapped into itself, albeit in a different $ensuremath{kappa}$-symmetry gauge. One implication is that the dual model has the same superconformal symmetry group as the original one, and this may be seen as a consequence of the integrability of the superstring. The invariance of the Lax connection under the duality implies a map on the full set of conserved charges that should interchange some of the Noether (local) charges with hidden (nonlocal) ones and vice versa." @default.
• W2006566406 created "2016-06-24" @default.
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• W2006566406 date "2008-12-08" @default.
• W2006566406 modified "2023-10-10" @default.
• W2006566406 title "Dual superconformal symmetry from<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:msub><mml:mi>AdS</mml:mi><mml:mn>5</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:msup><mml:mi>S</mml:mi><mml:mn>5</mml:mn></mml:msup></mml:math>superstring integrability" @default.
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• W2006566406 doi "https://doi.org/10.1103/physrevd.78.126004" @default.
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