16,091 research outputs found
The Universal Phase Space of AdS3 Gravity
We describe what can be called the "universal" phase space of AdS3 gravity,
in which the moduli spaces of globally hyperbolic AdS spacetimes with compact
spatial sections, as well as the moduli spaces of multi-black-hole spacetimes
are realized as submanifolds. The universal phase space is parametrized by two
copies of the Universal Teichm\"uller space T(1) and is obtained from the
correspondence between maximal surfaces in AdS3 and quasisymmetric
homeomorphisms of the unit circle. We also relate our parametrization to the
Chern-Simons formulation of 2+1 gravity and, infinitesimally, to the
holographic (Fefferman-Graham) description. In particular, we obtain a relation
between the generators of quasiconformal deformations in each T(1) sector and
the chiral Brown-Henneaux vector fields. We also relate the charges arising in
the holographic description (such as the mass and angular momentum of an AdS3
spacetime) to the periods of the quadratic differentials arising via the Bers
embedding of T(1)xT(1). Our construction also yields a symplectic map from
T*T(1) to T(1)xT(1) generalizing the well-known Mess map in the compact spatial
surface setting.Comment: 41 pages, 2 figures, revised version accepted for publication in
Commun.Math.Phy
Spontaneous symmetry breaking, and strings defects in hypercomplex gauge field theories
Inspired by the appearance of split-complex structures in the dimensional
reduction of string theory, and in the theories emerging as byproducts, we
study the hyper-complex formulation of Abelian gauge field theories, by
incorporating a new complex unit to the usual complex one. The hypercomplex
version of the traditional Mexican hat potential associated with the
gauge field theory, corresponds to a {\it hybrid} potential with two real
components, and with as symmetry group. Each component
corresponds to a deformation of the hat potential, with the appearance of a new
degenerate vacuum. Hypercomplex electrodynamics will show novel properties,
such as the spontaneous symmetry breaking scenarios with running masses for the
vectorial and scalar Higgs fields, and the Aharonov-Bohm type strings defects
as exact solutions; these topological defects may be detected only by quantum
interference of charged particles through gauge invariant loop integrals. In a
particular limit, the {\it hyperbolic} electrodynamics does not admit
topological defects associated with continuous symmetriesComment: 40 page
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