Topologically Nontrivial Sectors of Maxwell Field Theory on Riemann Surfaces
نویسنده
چکیده
In this paper the Maxwell field theory is considered on a closed and orientable Riemann surface of genus h > 1. The solutions of the Maxwell equations corresponding to nontrivial values of the first Chern class are explicitly constructed for any metric in terms of the prime form.
منابع مشابه
Topologically Nontrivial Sectors of the Maxwell Field Theory on Algebraic Curves
In this paper the Maxwell field theory is considered on the Zn symmetric algebraic curves. As a first result, a large family of nondegenerate metrics is derived for general curves. This allows to treat many differential equations arising in quantum mechanics and field theory on Riemann surfaces as differential equations on the complex sphere. The examples of the scalar fields and of an electron...
متن کاملSupersymmetric quantum mechanics living on topologically nontrivial Riemann surfaces
Supersymmetric quantum mechanics is constructed in a new non-Hermitian representation. Firstly, the map between the partner operators H(±) is chosen antilinear. Secondly, both these components of a super-Hamiltonian H are defined along certain topologically nontrivial complex curves r(±)(x) which spread over several Riemann sheets of the wave function. The non-uniqueness of our choice of the ma...
متن کاملHeterotic Matrix String Theory and Riemann Surfaces
We extend the results found for Matrix String Theory to Heterotic Matrix String Theory, i.e. to a 2d O(N) SYM theory with chiral (anomaly free) matter and N = (8, 0) supersymmetry. We write down the instanton equations for this theory and solve them explicitly. The solutions are characterized by branched coverings of the basis cylinder, i.e. by compact Riemann surfaces with punctures. We show t...
متن کاملBlack holes in the Brans-Dicke-Maxwell theory
The black hole solutions in the higher dimensional BransDicke-Maxwell theory are investigated. We find that the presence of the nontrivial scalar field depends on the spacetime dimensions (D). WhenD = 4, the solution corresponds to the Reissner-Nordström black hole with a constant scalar field. In higher dimensions (D > 4), one finds the charged black hole solutions with the nontrivial scalar f...
متن کاملAre There Topologically Charged States Associated with Quantum Electrodynamics ?
We present a formulation of Quantum Electrodynamics in terms of an antisymmetric tensor gauge field. In this formulation the topo-logical current of this field appears as a source for the electromagnetic field and the topological charge therefore acts physically as an electric charge. The charged states of QED lie in the sector where the topological charge is identical to the matter charge. The...
متن کامل