Creation operators for 2-branes and duality in BF and Chern-Simons theories in D=5

Details Creation operators for 2-branes and duality in BF and Chern-Simons theories in D=5 Creation operators for 2-branes and duality in BF and Chern-Simons theories in D=5

2003-10-22

arxiv.org/abs/hep-th/0310208v1

Int.J.Mod.Phys. A18 (2003) 5907-5920

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

10.1142/S0217751X03016781

We explicitly construct the creation operators for the quantum field configurations associated to quantum membranes (2-branes) in BF and generalized Chern-Simons theories in a spacetime of dimension D=5. The creation operators for quantum excitations carrying topological charge are also obtained in the same theories. For the case of D=5 generalized Chern-Simons theory, we show that this operator actually creates an open string with a topological charge at its tip. It is shown that a duality structure exists in general, relating the membrane and topological excitation operators and the corresponding dual algebra is derived. Composite topologically charged membranes are shown to possess generalized statistics that may, in particular, be fermionic. This is the first step for the bosonization procedure in these theories. Potential applications in the full quantization of 2-branes is also briefly discussed.

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