2,712 research outputs found
A geometric approach to scalar field theories on the supersphere
Following a strictly geometric approach we construct globally supersymmetric
scalar field theories on the supersphere, defined as the quotient space
. We analyze the superspace geometry of the
supersphere, in particular deriving the invariant vielbein and spin connection
from a generalization of the left-invariant Maurer-Cartan form for Lie groups.
Using this information we proceed to construct a superscalar field action on
, which can be decomposed in terms of the component fields, yielding a
supersymmetric action on the ordinary two-sphere. We are able to derive
Lagrange equations and Noether's theorem for the superscalar field itself.Comment: 38 pages, 1 figur
Curvature blow up in Bianchi VIII and IX vacuum spacetimes
The maximal globally hyperbolic development of non-Taub-NUT Bianchi IX vacuum
initial data and of non-NUT Bianchi VIII vacuum initial data is C2
inextendible. Furthermore, a curvature invariant is unbounded in the incomplete
directions of inextendible causal geodesics.Comment: 20 pages, no figures. Submitted to Classical and Quantum Gravit
Impact pressure probe reponse characteristics in high speed flows with transition knudsen numbers
Impact pressure probe response characteristics in high speed flows with transition Knudsen number
Impact pressure probe response characteristics in high speed flows, with transition Knudsen numbers
Impact pressure probe response characteristics in free-molecular and continuum flows with transition Knudsen number
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