Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability

Details Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability

2008-07-21

arxiv.org/abs/0807.3228v2

Phys.Rev.D78:126004,2008

Physics

High Energy Physics

High Energy Physics - Theory

V2: 33 pages, clarifications added and minor corrections, replaced with version to appear in PRD

Scientific paper

10.1103/PhysRevD.78.126004

We discuss 2d duality transformations in the classical AdS5 x S5 superstring and their effect on the integrable structure. T-duality along four directions in Poincare parametrization of AdS5 maps the bosonic part of the superstring action into itself. On 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 so(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 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 (non-local) ones and vice versa.

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