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4 papers · 2 filters
Gauge field, strings, solitons, anomalies and the speed of life
Antti J. Niemi
It's been said that "mathematics is biology's next microscope, only better; biology is mathematics' next physics, only better". Here we aim for something even better. We try to com…
Applications of Fixed Point Theorems to the Vacuum Einstein Constraint Equations with Non-Constant Mean Curvature
Nguyen The Cang
In this paper, we introduce new methods for solving the vacuum Einstein constraints equations: the first one is based on Schaefer's fixed point theorem (known methods use Schauder'…
Conformal Killing Tensors and covariant Hamiltonian Dynamics
M. Cariglia, G. W. Gibbons, J. -W. van Holten +2
A covariant algorithm for deriving the conserved quantities for natural Hamiltonian systems is combined with the non-relativistic framework of Eisenhart, and of Duval, in which the…
Connection problem for the sine-Gordon/Painlevé III tau function and irregular conformal blocks
A. Its, O. Lisovyy, Yu. Tykhyy
The short-distance expansion of the tau function of the radial sine-Gordon/Painlevé III equation is given by a convergent series which involves irregular conformal blocks and…