6,123 research outputs found
Supersymmetric Theories on a Non Simply Connected Space-Time
We study the Wess-Zumino theory on where a spatial
coordinate is compactified. We show that when the bosonic and fermionic fields
satisfy the same boundary condition, the theory does not develop a vacuum
energy or tadpoles. We work out the two point functions at one loop and show
that their forms are consistent with the nonrenormalization theorem. However,
the two point functions are nonanalytic and we discuss the structure of this
nonanalyticity.Comment: 10 pages, TEX file, figures upon request from author
Representations of the homotopy surface category of a simply connected space
We introduce the homotopy surface category of a space which generalizes the
1+1-dimensional cobordism category of circles and surfaces to the situation
where one introduces a background space. We explain how for a simply connected
background space, monoidal functors from this category to vector spaces can be
interpreted in terms of Frobenius algebras with additional structure.Comment: 9 pages, 2 figure
Simplicial resolutions and Ganea fibrations
In this work, we compare the two approximations of a path-connected space
, by the Ganea spaces and by the realizations of the truncated simplicial resolutions emerging from the
loop-suspension cotriple . For a simply connected space , we
construct maps over , up to homotopy. In the case , we prove the existence of
a map over (up to homotopy) and
conjecture that this map exists for any
Diagonals of separately continuous maps with values in box products
We prove that if is a paracompact connected space and is a product of a family of equiconnected metrizable spaces endowed with
the box topology, then for every Baire-one map there exists a
separately continuous map such that for all
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