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Gauge theories and non‐commutative geometry
Author(s) -
Iliopoulos J.
Publication year - 2006
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200510262
Subject(s) - commutative property , geometry , space (punctuation) , gauge theory , surface (topology) , mathematics , gauge (firearms) , theoretical physics , physics , pure mathematics , algebra over a field , mathematical physics , computer science , archaeology , history , operating system
It is shown that a d ‐dimensional classical SU ( N ) Yang‐Mills theory can be formulated in a d +2‐dimensional space, with the extra two dimensions forming a surface with non‐commutative geometry.
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