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Many-particle mechanics with D(2,1;alpha) superconformal symmetry
Many-particle mechanics superconformal symmetry
2011/3/3
We overcome the barrier of constructing N=4 superconformal models in one space dimension for
more than three particles. The D(2, 1; ) superalgebra of our systems is realized on the coordinates and m...
Isoradial graphs are a natural generalization of regular graphs which give,for many models of statistical mechanics, the right framework for studying models at criticality.
While real Hamiltonian mechanics and Hermitian quantum mechanics can both be cast in the framework of complex canonical equations, their complex generalisations have hitherto remained tangential.
Kahler-Einstein metrics emerging from free fermions and statistical mechanics
Kahler-Einstein metrics free fermions statistical mechanics
2010/12/15
We propose a statistical mechanical derivation of Kähler-Einstein1 metrics, i.e. solutions to Einstein’s vacuum field equations in Euclidean sig-nature (with a cosmological constant) on a compact...