1,634 research outputs found
Some questions of equivariant movability
In this paper the some questions of equivariant movability connected with
substitution of acting group on closed subgroup and with transitions to
spaces of -orbits and -fixed points spaces are investigated. In the
special case the characterization of equivariant-movable -spaces is given.Comment: 12 page
Defects, Non-abelian T-duality, and the Fourier-Mukai transform of the Ramond-Ramond fields
We construct topological defects generating non-abelian T-duality for
isometry groups acting without isotropy. We find that these defects are given
by line bundles on the correspondence space with curvature which can be
considered as a non-abelian generalization of the curvature of the Poincar\`{e}
bundle. We show that the defect equations of motion encode the non-abelian
T-duality transformation. The Fourier-Mukai transform of the Ramond-Ramond
fields generated by the gauge invariant flux of these defects is studied. We
show that it provides elegant and compact way of computation of the
transformation of the Ramond-Ramond fields under the non-abelian T-duality.Comment: 18 pages, minor typos corrected, references adde
Movable categories
The notion of movability for metrizable compacts was introduced by K.Borsuk
. In this paper we define the notion of movable category and prove that
the movability of a topological space coincides with the movability of a
suitable category, which is generated by the topological space (i.e., the
category , defined by S.Mardesic)
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