Noncommutative SO(n) and Sp(n) Gauge Theories

Details Noncommutative SO(n) and Sp(n) Gauge Theories Noncommutative SO(n) and Sp(n) Gauge Theories

2000-06-13

arxiv.org/abs/hep-th/0006091v2

Nucl.Phys.B589:461-474,2000

Physics

High Energy Physics

High Energy Physics - Theory

17 pages; considerations about fermions added and some minor changes

Scientific paper

10.1016/S0550-3213(00)00527-7

We study the generalization of noncommutative gauge theories to the case of orthogonal and symplectic groups. We find out that this is possible, since we are allowed to define orthogonal and symplectic subgroups of noncommutative unitary gauge transformations even though the gauge potentials and gauge transformations are not valued in the orthogonal and symplectic subalgebras of the Lie algebra of antihermitean matrices. Our construction relies on an antiautomorphism of the basic noncommutative algebra of functions which generalizes the charge conjugation operator of ordinary field theory. We show that the corresponding noncommutative picture from low energy string theory is obtained via orientifold projection in the presence of a non-trivial NSNS B-field.

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