140 research outputs found
A "Gauged" Peccei-Quinn Symmetry
The Peccei-Quinn (PQ) solution to the strong problem requires an
anomalous global symmetry, the PQ symmetry. The origin of such a
convenient global symmetry is quite puzzling from the theoretical point of view
in many aspects. In this paper, we propose a simple prescription which provides
an origin of the PQ symmetry. There, the global PQ symmetry is virtually
embedded in a gauged PQ symmetry. Due to its simplicity, this mechanism
can be implemented in many conventional models with the PQ symmetry.Comment: 5 pages, 1 figure
Pochette surgery of 4-sphere
Iwase and Matsumoto defined `pochette surgery' as a cut-and-paste on
4-manifolds along a 4-manifold homotopy equivalent to . The first
author in [10] studied infinitely many homotopy 4-spheres obtained by pochette
surgery. In this paper we compute the homology of pochette surgery of any
homology 4-sphere by using `linking number' of a pochette embedding. We prove
that pochette surgery with the trivial cord does not change the diffeomorphism
type or gives a Gluck surgery. We also show that there exist pochette surgeries
on the 4-sphere with a non-trivial core sphere and a non-trivial cord such that
the surgeries give the 4-sphere.Comment: 23 pages, 15 figure
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