ar X iv : h ep - t h / 00 05 02 6 v 2 2 6 M ay 2 00 0 UG - 00 - 01 A Noncommutative M – Theory Five – brane

ar X iv : h ep - t h / 00 05 02 6 v 1 2 M ay 2 00 0 UG - 00 - 01 A Noncommutative M – Theory Five – brane

We investigate, in a certain decoupling limit, the effect of having a constant C– field on the M–theory five–brane using an open membrane probe. We define an open membrane metric for the five–brane that remains non–degenerate in the limit. The canonical quantisation of the open membrane boundary leads to a noncommutative loop space which is a functional analogue of the noncommutative geometry t...

ar X iv : h ep - t h / 00 07 05 2 v 4 5 S ep 2 00 0 UG - 00 - 10 Flowing from a noncommutative ( OM ) five brane via its supergravity dual

The dual supergravity description of the flow between (2,0) five–brane theory and the noncommutative five–brane (OM) theory is examined at critical five– brane field strength. The self–duality of the field strength is shown to arise as a consequence of the supergravity solution. Open membrane solutions are examined in the background of the five–brane giving rise to an M analogue of the noncommu...

ar X iv : h ep - p h / 02 05 01 6 v 1 2 M ay 2 00 2 Scalar a 0 ( 980 ) meson in φ → π 0 ηγ decay

ar X iv : h ep - t h / 01 01 05 9 v 2 1 4 M ay 2 00 1

We consider the complex scalar field coupled to background NC U(1) YM and calculate the correlator of two gauge invariant composite operators. We show how the noncommutative gauge invariance is restored for higher correlators (though the Green's function itself is not invariant). It is interesting that the recently discovered noncommutative solitons appear in the calculation.

ar X iv : h ep - t h / 05 05 24 5 v 1 2 6 M ay 2 00 5 Commutator anomalies in noncommutative electrodynamics

We exploit the maps for fields and currents in a U(1) gauge theory relating the noncommutative and commutative (usual) descriptions to obtain the O(θ) structure of the commutator anomalies in noncommutative electrodynamics. These commutators involve the (covariant) current–current algebra and the (covariant) current–field algebra. We also establish the compatibility of the anomalous commutators...