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hep-th1995
Phase Space Discretization and Moyal Quantization
Ryuji Kemmoku, Satoru Saito
The Moyal quantization is described as a discretization of the classical phase space by using difference analogue of vector fields. Difference analogue of Lie brackets plays the ro…
hep-th1994
as a Discretization of Virasoro Algebra
Ryuji KEMMOKU, Satoru SAITO, 13 pages +1
It is shown that the algebra is nothing but the simplest subalgebra of a -discretized \vi\ algebra, in the language of the KP hierarchy explicitly.
hep-th1993
Quantum Hall effect from soliton equation
Hideaki Hiro-Oka, Satoru Saito
The Laughlin function of quantum Hall effect is shown to satisfy Hirota's bilinear difference equation with certain coefficients a little different from the KP hierarchy. Vertex op…