Locally concentrated solutions in the Born{Infeld theory are presented. In particular, existence and uniqueness theorems are established for multicentered magnetic string solutions induced from aâ€¦ (More)

This paper considers the Einstein equations coupled with the nonabelian gauge and Higgs fields. It is shown that, when cosmic string solutions are sought in the Einstein-Georgi-Glashow system and theâ€¦ (More)

We generalise the Clark-Ocone formula for functions to give analogous representations for differential forms on the classical Wiener space. Such formulae provide explicit expressions for closed andâ€¦ (More)

An Abelian gauge eld theory framed on a complex line bundle L over a compact Riemann surface M is developed which allows the coexistence, simultaneously in the same model, of magnetic vortices andâ€¦ (More)

There are many interesting and challenging problems in the area of classical eld theories. This area has attracted the attention of algebraists, geometers, and topol-ogists in the past and has begunâ€¦ (More)

In Part I of this paper [11], we have proven the existence of Abrikosov like periodic vortices for the bosonic sector models proposed by Ambjorn and Olesen [4] of the full Glashow-Salam-Weinbergâ€¦ (More)

In this paper, we prove the existence of finite-energy electrically and magnetically charged vortex solutions in the full Chernâ€“Simonsâ€“Higgs theory, for which both the Maxwell term and theâ€¦ (More)

The presence of a fractional-exponent growth law relating knot energy and knot topology is known to be an essential characteristic for the existence of â€˜idealâ€™ knots. In this paper, we show that theâ€¦ (More)

Three times of supergiant flares from soft Î³-ray repeatres are observed, with typical released energy of âˆ¼ 10 erg. A conventional model (i.e., the magnetar model) for such events is catastrophicâ€¦ (More)

Two sharp existence and uniqueness theorems are presented for solutions of multiple vortices arising in a six-dimensional brane-world supersymmetric gauge field theory under the general gaugeâ€¦ (More)