Orateur
Description
The classical integrability of string sigma models is typically exploited for very symmetric backgrounds, Riemann symmetric spaces resp. semisymmetric superspaces (aka Z(2)- resp. Z(4)-symmetric homogeneous spaces). One way to potentially arrive at less symmetric, more generic backgrounds is to generalise to Z(N)-symmetric homogeneous target spaces for arbitrary N. Already many years ago two-dimensional sigma models in such spaces have been shown to be classically integrable when introducing WZ-terms in a particular way.
As an application, the relationship between Z(3)-symmetric homogeneous spaces and nearly (para-)Kähler geometries is discussed. In this talk results in the search for new models of this type, now allowing some kinetic terms to be absent analogously to the Green-Schwarz superstring σ-model on Z(4)-symmetric homogeneous spaces, are presented. For arbitrary N, a big class of integrable models exists that includes both the known pure spinor and Green-Schwarz superstring on Z(4)-symmetric cosets. Integrable Yang-Baxter deformations of this class of Z(N)-symmetric (super)coset sigma-models are introduced in same way as in the known Z(2)- or Z(4)-cases.
The Hamiltonian analysis reveals that these models are classically integrable and possess a classical r-matrix with twist function. Furthermore, when the parameters are chosen such that the model is integrable, some version of kappa symmetry exists, even in the purely bosonic case.
| Type of contribution | Contributed Talk or Poster |
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