Duality and an Operator Realization for the Fermi-Bose Transmutation in 3+1 Dimensions

Abstract

We consider the Maxwell-Higgs system in the broken phase, described in terms of a Kalb-Ramond field interacting with the electromagnetic field through a topological coupling. We then study the creation operators of states which respectively carry a point charge and a closed magnetic string in the electromagnetic language or a point topological charge and a closed Kalb-Ramond charged string in the Kalb-Ramond dual language. Their commutation relation is evaluated, implying they satisfy a dual algebra and their composite possesses generalized statistics. In the local limit where the radius of the string vanishes, only Fermi or Bose statistics are allowed. This provides an explicit operator realization for statistical transmutation in 3+1D.

Latex, 8 pages

References in corpus (8)

• Quantum Hair on Black Holes
• Bosonization in Higher Dimensions
• Duality and Bosonisation in Arbitrary Dimensions
• Vertex Operators for the BF System and its Spin-Statistics Theorems
• A New Quantum Vortex Operator and Its Correlation Functions
• Bosonization of Thirring Model in Arbitrary Dimension
• Fermi-Bose Transmutation for Stringlike Excitations of Maxwell-Higgs Systems
• Are There Topologically Charged States Associated with Quantum Electrodynamics ?

Cited by in corpus (6)

• Spontaneously Generated Gauge Invariance
• Duality in nonlinear B$\wedge$F models: equivalence between self-dual and topologically massive Born-Infeld B$\wedge$F models
• A new sequence for topological terms at any spacetime dimensions
• Quantum Global Strings and Their Correlation Functions
• Statistical transmutation of quantum bosonic strings coupled to general four-dimensional Chern-Simons theory
• Creation operators for 2-branes and duality in BF and Chern-Simons theories in D=5