Comments on the Morita Equivalence
Abstract
It is known that noncommutative YangMills theory with periodical boundary conditions on torus at the rational value of the noncommutativity parameter is Morita equivalent to the ordinary YangMills theory with twisted boundary conditions on dual torus. We present simple derivation of this fact. We describe onetoone correspondence between and gauge invariant observables in these two theories. In particular, we show that under Morita map Polyakov loops in the ordinary YM theory go to the open noncommutative Wilson loops discovered by Ishibashi, Iso, Kawai and Kutazawa.
 Publication:

Soviet Journal of Experimental and Theoretical Physics
 Pub Date:
 October 2000
 DOI:
 10.1134/1.1326956
 arXiv:
 arXiv:hepth/0005138
 Bibcode:
 2000JETP...91..653S
 Keywords:

 High Energy Physics  Theory
 EPrint:
 LaTeX, 10pp. v2: minor typo corrections, references added