Exact operator bosonization of finite number of fermions in one space dimension

Details Exact operator bosonization of finite number of fermions in one space dimension Exact operator bosonization of finite number of fermions in one space dimension

2005-09-21

arxiv.org/abs/hep-th/0509164v2

JHEP0601:118,2006

Physics

High Energy Physics

High Energy Physics - Theory

47 pages, 1 figure; (v2) typos corrected

Scientific paper

10.1088/1126-6708/2006/01/118

We derive an exact operator bosonization of a finite number of fermions in one space dimension. The fermions can be interacting or noninteracting and can have an arbitrary hamiltonian, as long as there is a countable basis of states in the Hilbert space. In the bosonized theory the finiteness of the number of fermions appears as an ultraviolet cut-off. We discuss implications of this for the bosonized theory. We also discuss applications of our bosonization to one-dimensional fermion systems dual to (sectors of) string theory such as LLM geometries and c=1 matrix model.

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