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Lattice instantons in the large dimension limit

โœ Scribed by Bernard Grossman; Thomas W. Kephart

Publisher
Springer
Year
1989
Tongue
English
Weight
371 KB
Volume
18
Category
Article
ISSN
0377-9017

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โœฆ Synopsis

We give a lattice construction of the discretizations of the topologically nontrivial maps S 2~ ~S ' . For n = 1, 2,4, 8, these are the Hopf maps. The construction, based on Barnes-Wall lattices, Reed Muller error-correcting codes, and Hadamard matrices, generalizes to n = 2' for i any integer. Manton's result for the cases n = 2 and 4 (i.e., the monopole and instanton) are included. We argue that discrete harmonic analysis will be exact in the infinite dimension limit.

AMS subject classifications (1980). 81E15, 82A68.

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