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

Dhar, Avinash ; Mandal, Gautam ; Suryanarayana, Nemani V. (2006) Exact operator bosonization of finite number of fermions in one space dimension Journal of High Energy Physics, 2006 (01). Article ID 118. ISSN 1126-6708

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Official URL: http://iopscience.iop.org/article/10.1088/1126-670...

Related URL: http://dx.doi.org/10.1088/1126-6708/2006/01/118

Abstract

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.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
ID Code:103584
Deposited On:26 Dec 2017 11:14
Last Modified:26 Dec 2017 11:14

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