| Popis: |
We examine the issue of duality both in electrodynamics and in Kalb-Ramond scalar axion systems. In D space-time dimensions the dual abelian theories of (p −1)- and (D − p − 1)-form potentials have vacua classified by the dimensions of the cohomology spaces Hp − 1((D − 1)M) or HD − p −((D − 1)M), respectively. The vacua are characterized by topological charges which are expectation values for generalized “Wilson loop” operators around non-trivial cycles. In certain instances the vacua exhibit a theta angle parametrization much as in QCD. The relation of axionic hair and discrete gauge hair is analyzed in the topologically massive Kalb-Ramond theory. If there are no fundamental strings in the theory, axionic charge is replaced by an irrelevant vacuum angle. |
