We consider pure SU(2) Yang–Mills theory on four-dimensional de Sitter space dS4 and construct a smooth and spatially homogeneous magnetic solution to the Yang–Mills equations. Slicing dS4 as R×S3, via an SU(2)-equivariant ansatz we reduce the Yang–Mills equations to ordinary matrix differential equations and further to Newtonian dynamics in a double-well potential. Its local maximum yields a Y...

Electromagnetism can be generalized to Yang–Mills theory by replacing the group U(1) by a nonabelian Lie group. This raises the question of whether one can similarly generalize 2-form electromagnetism to a kind of ‘higher-dimensional Yang–Mills theory’. It turns out that to do this, one should replace the Lie group by a ‘Lie 2-group’, which is a category C where the set of objects and the set o...

Large-scale simulations often need dynamic access to heterogeneous data resources such as sensors, databases, or other simulations. The Agent-Based Environment for Linking Simulations (ABELS) is designed to facilitate the dynamic formation of a “cloud” of independent simulations and other data resources for the exchange of information. Participants in the data and simulation cloud join and exit...

1970-71 Brownsville Haywood County 1970-71 Sparta White County 1980-81 Watertown Wilson County 1981-82 Atwood 1981-82 Trezevant 1981-82 Gibson County Gibson County ceased to function as a regular school system. A new Gibson County Special School District was opened and students were assigned to the municipal or special school districts within the county. 1983-84 Crockett Mills 1983-84 Friendshi...

The standard approach to identifying second degree price discrimination is based on examining correlations between product menus and prices. When product menus are endogenous, however, tests for price discrimination may be biased by the fact that unobservables affecting costs or demand may jointly determine product menus and prices leading one to falsely infer price discrimination. Attempts to ...

We propose an agent-based dynamics which leads an urban system to the standard equilibrium of the Alonso, Muth, Mills (AMM) framework. Starting for instance from a random initialization, agents move and bid for land, performing a kind of local search and finally leading the system to equilibrium rent, density and land use. Agreement with continuous analytical results is limited only by the disc...

In this note we introduce a Yang-Mills bar equation on complex vector bundles E provided with a Hermitian metric over compact Hermitian manifolds. According to the Koszul-Malgrange criterion any holomorphic structure on E can be seen as a solution to this equation. We show the existence of a non-trivial solution to this equation over compact Kähler manifolds as well as a short time existence of...

Twistor space constructions and actions are given for full Yang-Mills and conformal gravity using complex structures that are not, in general, integrable. These are used as the basis of a derivation of the twistor-string generating functionals for tree level perturbative scattering amplitudes of Yang-Mills and conformal gravity. The derivation follows by expanding and resumming the classical ap...

The coulomb branch of N = 4 supersymmetric Yang-Mills gauge theories in d = 2 + 1 is studied. A direct connection between gauge theories and monopole moduli spaces is presented. It is proposed that the hyper-Kähler metric of supersymmetric N = 4 SU(N) Yang-Mills theory is given by the charge N centered moduli space of BPS monopoles in SU(2). The theory is compared to N = 2 supersymmetric Yang-M...

In this Letter, we propose a model which is equivalent to the Yang-Mills theory at long distances but for which all symmetries are realized linearly. On top of the gauge and Fadeev-Popov ghosts fields, the model presents several massive fields, all of which can be merged in a unique vector field with support in a curved superspace. The equivalence of this model with the gauge-fixed Yang-Mills t...