Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability

Abstract

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.

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

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Cited by in corpus (16)

• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• All tree-level amplitudes in N=4 SYM
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory
• The Classical Exchange Algebra of AdS5 x S5 String Theory
• One-Loop Amplitudes in N=4 Super Yang-Mills and Anomalous Dual Conformal Symmetry
• T-Duality, Dual Conformal Symmetry and Integrability for Strings on AdS_5 x S^5
• Symmetries of the N=4 SYM S-matrix
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• CFT adapted gauge invariant formulation of arbitrary spin fields in AdS and modified de Donder gauge
• A super MHV vertex expansion for N=4 SYM theory
• First-quantized N=4 Yang-Mills
• Higher point MHV amplitudes in N=4 Supersymmetric Yang-Mills Theory
• Non-commutative holography and scattering amplitudes in a large magnetic background
• Superembedding approach to superstring in AdS(5)xS*5 superspace