4 O ct 2 00 7 Conformally parametrized surfaces associated with C P N − 1 sigma models

Conformally parametrized surfaces associated with CPN−1 sigma models

Two-dimensional parametrized surfaces immersed in the su(N) algebra are investigated. The focus is on surfaces parametrized by solutions of the equations for the CP N−1 sigma model. The Lie-point symmetries of the CP N−1 model are computed for arbitrary N . The Weierstrass formula for immersion is determined and an explicit formula for a moving frame on a surface is constructed. This allows us ...

2 00 6 Hyper - Kähler geometries and nonlinear supermultiplets

It is presented a method of construction of sigma-models with target space geometries different from conformally flat ones. The method is based on a treating of a constancy of a coupling constant as a dynamical constraint following as an equation of motion. In this way we build N = 4 and N = 8 supersymmetric four-dimensional sigma-models in d = 1 with hyper-Kähler target space possessing one is...

O ct 2 00 5 Casimir energy - momentum tensor for the Robin Surfaces in de Sitter Spacetime

The energy-momentum tensor for a massless conformally coupled scalar field in the region between two curved surface moving by uniform proper accelerations in static de Sitter spacetime is investigated. We assume that the scalar field satisfies the Robin boundary condition on the surfaces. Static de Sitter space is conformally related to the Rindler space, as a result we can obtain vacuum expect...

2 v 1 2 7 O ct 2 00 4 Pulsating strings in warped AdS 6 × S 4 geometry

RTES-03 Interfaces.indd

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