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

被引:0
|
作者
Marino, EC [1 ]
机构
[1] Fed Univ Rio De Janeiro, Inst Fis, BR-21941972 Rio De Janeiro, RJ, Brazil
来源
关键词
quantum p-branes; topological excitations; duality;
D O I
10.1142/S0217751X03016781
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
We explicitly construct the creation operators for the quantum field configurations associated to quantum membranes (two-branes) in BF and generalized Chern-Simons theories in a space-time 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 axe 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 two-branes is also briefly discussed.
引用
收藏
页码:5907 / 5920
页数:14
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