Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-02-02
JHEP0405:022,2004
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, JHEP style, version published in JHEP
Scientific paper
10.1088/1126-6708/2004/05/022
A model of chiral bosons on a non-commutative field space is constructed and new generalized bosonization (fermionization) rules for these fields are given. The conformal structure of the theory is characterized by a level of the Kac-Moody algebra equal to $(1+ \theta^2)$ where $\theta$ is the non-commutativity parameter and chiral bosons living in a non-commutative fields space are described by a rational conformal field theory with the central charge of the Virasoro algebra equal to 1. The non-commutative chiral bosons are shown to correspond to a free fermion moving with a speed equal to $ c^{\prime} = c \sqrt{1+\theta^2} $ where $c$ is the speed of light. Lorentz invariance remains intact if $c$ is rescaled by $c \to c^{\prime}$. The dispersion relation for bosons and fermions, in this case, is given by $\omega = c^{\prime} | k|$.
Das Ashok
Gamboa Jorge
Lopez-Sarrion Justo
Mendez Fernando
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