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24 January 2021
 
  » arxiv » hep-th/0409129

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Fermions in the harmonic potential and string theory
Alexey Boyarsky ; Vadim V. Cheianov ; Oleg Ruchayskiy ;
Date 13 Sep 2004
Journal JHEP 0501 (2005) 010
Subject hep-th
AbstractWe explicitly derive collective field theory description for the system of fermions in the harmonic potential. This field theory appears to be a coupled system of free scalar and (modified) Liouville field. This theory should be considered as an exact bosonization of the system of non-relativistic fermions in the harmonic potential. Being surprisingly similar to the world-sheet formulation of c=1 string theory, this theory has quite different physical features and it is conjectured to give space-time description of the string theory, dual to the fermions in the harmonic potential. A vertex operator in this theory is shown to be a field theoretical representation of the local fermion operator, thus describing a D0 brane in the string language. Possible generalization of this result and its derivation for the case of c=1 string theory (fermions in the inverse harmonic potential) is discussed.
Source arXiv, hep-th/0409129
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