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On the equivalence of noncommutative models in various dimensions and brane condensation
Author(s) -
Corneliu Sochichiu
Publication year - 2000
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2000/08/048
Subject(s) - noncommutative geometry , equivalence (formal languages) , brane , condensation , noncommutative quantum field theory , brane cosmology , physics , theoretical physics , mathematics , mathematical physics , pure mathematics , algebra over a field , thermodynamics
Here we construct a map from the algebra of fields in two-dimensionalnoncommutative of U(1) Yang-Mills fields interacting with Kaluza-Klein scalarsto a D-dimensional one, as a solution in the two-dimensional model. This provesthe equivalence of noncommutative models in various (even) dimensions.Physically this map describes condensation of D1-branes.Comment: 7 pages, 1 eps figure, changes in the Title, Abstract, notations clarified, some comments and refs adde

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