COMMENTS ON THE MORITA EQUIVALENCE
Saraikin K.

Received: May 25, 2000

PACS: 11.25.-w, 02.10.Tq

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It is known that the noncommutative Yang-Mills (YM) theory with periodical boundary conditions on a torus at the rational value of the noncommutativity parameter is Morita equivalent to the ordinary YM theory with twisted boundary conditions on the dual torus. We give a simple derivation of this fact. We describe the one-to-one correspondence between these two theories and the corresponding gauge invariant observables. In particular, we show that under the Morita map, the Polyakov loops in the ordinary YM theory go into the open noncommutative Wilson loops discovered by Ishibashi, Iso, Kawai, and Kitazawa.