Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-12-09
JHEP 0202:002,2002
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, no figures, harvmac tex, v2: a typo corrected, the version to appear in JHEP
Scientific paper
10.1088/1126-6708/2002/02/002
Assigning an intrinsic constant dipole moment to any field, we present a new kind of associative star product, the dipole star product, which was first introduced in [hep-th/0008030]. We develop the mathematics necessary to study the corresponding noncommutative dipole field theories. These theories are sensible non-local field theories with no IR/UV mixing. In addition we discuss that the Lorentz symmetry in these theories is ``softly'' broken and in some particular cases the CP (and even CPT) violation in these theories may become observable. We show that a non-trivial dipole extension of N=4, D=4 gauge theories can only be obtained if we break the SU(4) R (and hence super)-symmetry. Such noncommutative dipole extensions, which in the maximal supersymmetric cases are N=2 gauge theories with matter, can be embedded in string theory as the theories on D3-branes probing a smooth Taub-NUT space with three form fluxes turned on or alternatively by probing a space with R-symmetry twists. We show the equivalences between the two approaches and also discuss the M-theory realization.
Dasgupta Keshav
Sheikh-Jabbari Mohammad M.
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