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  Dual superconformal symmetry from AdS5xS5 superstring integrability

Beisert, N., Ricci, R., Tseytlin, A. A., & Wolf, M. (2008). Dual superconformal symmetry from AdS5xS5 superstring integrability. Physical Review D, 78(12): 126004. doi:10.1103/PhysRevD.78.126004.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-1466-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-146A-D
Genre: Journal Article

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PRD08-78-126004.pdf (Publisher version), 352KB
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Beisert, Niklas1, Author              
Ricci, R.2, Author
Tseytlin, A. A.2, Author
Wolf, M.2, Author
Affiliations:
1Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, escidoc:24016              
2External Organizations, escidoc:persistent22              

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 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.

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 Dates: 2008-12-08
 Publication Status: Published online
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 Rev. Method: Peer
 Identifiers: DOI: 10.1103/PhysRevD.78.126004
arXiv: 0807.3228
eDoc: 367170
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 78 (12) Sequence Number: 126004 Start / End Page: - Identifier: ISSN: 1550-2368