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dc.contributor.authorSchmidtt, David M. [UNESP]
dc.identifier.citationJournal of High Energy Physics. New York: Springer, n. 3, p. 59, 2011.
dc.description.abstractWe study the extended supersymmetric integrable hierarchy underlying the Pohlmeyer reduction of superstring sigma models on semi-symmetric superspaces F/G. This integrable hierarchy is constructed by coupling two copies of the homogeneous integrable hierarchy associated to the loop Lie superalgebra extension (f) over cap of the Lie superalgebra f of F and this is done by means of the algebraic dressing technique and a Riemann-Hilbert factorization problem. By using the Drinfeld-Sokolov procedure we construct explicitly, a set of 2D spin +/- 1/2 conserved supercharges generating supersymmetry flows in the phase space of the reduced model. We introduce the bi-Hamiltonian structure of the extended homogeneous hierarchy and show that the two brackets are of the Kostant-Kirillov type on the co-adjoint orbits defined by the light-cone Lax operators L(+/-). By using the second symplectic structure, we show that these supersymmetries are Hamiltonian flows, we compute part of the supercharge algebra and find the supersymmetric field variations they induce. We also show that this second Poisson structure coincides with the canonical Lorentz-invariant symplectic structure of the WZNW model involved in the Lagrangian formulation of the extended integrable hierarchy, namely, the semi-symmetric space sine-Gordon model (SSSSG), which is the Pohlmeyer reduced action functional for the transverse degrees of freedom of superstring sigma models on the cosets F/G. We work out in some detail the Pohlmeyer reduction of the AdS(2)xS(2) and the AdS(3) xS(3) superstrings and show that the new conserved supercharges can be related to the supercharges extracted from 2D superspace. In particular, for the AdS(2) x S(2) example, they are formally the same.en
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.relation.ispartofJournal of High Energy Physics
dc.sourceWeb of Science
dc.subjectExtended Supersymmetryen
dc.subjectIntegrable Hierarchiesen
dc.subjectIntegrable Field Theoriesen
dc.subjectSigma Modelsen
dc.titleSupersymmetry flows, semi-symmetric space sine-Gordon models and the Pohlmeyer reductionen
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.description.affiliationInst Fis Teor IFT UNESP, BR-01140070 São Paulo, Brazil
dc.description.affiliationUnespInst Fis Teor IFT UNESP, BR-01140070 São Paulo, Brazil
dc.rights.accessRightsAcesso restrito
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt
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