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Non-singlet sectors of the c=1 matrix model with connections to two dimensional string theory

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dc.contributor.author Rabideau, Charles
dc.date.accessioned 2012-10-17T18:10:59Z
dc.date.available 2012-10-17T18:10:59Z
dc.date.copyright 2012 en
dc.date.issued 2012-10-17
dc.identifier.uri http://hdl.handle.net/2429/43445
dc.description.abstract The goal of this thesis is to study non-singlet sectors of the c=1 matrix model in order to determine their connection with string theory in two space-time dimensions. It is well understood that the singlet sector of this matrix model is related to the closed string sector of the string theory. The adjoint sector has been connected to long strings stretching from an FZZT brane at infinity. The goal is to find a sector which includes a large number of these long strings which condense to form an FZZT brane in line with a proposal due to Gaiotto. Sectors corresponding to symmetric and antisymmetric tensor products of the fundamental and antifundamental representation of the U(N) symmetry of the matrix model are studied. Partition functions of the matrix model with a harmonic oscillator potential as well as bases for the Hilbert spaces are found for all these sectors. The first two representations are studied using a collective field approach with the inverted oscillator potential applicable to the c=1 model and are found to contain large numbers of long strings which form a free bosonic gas in the large N limit and so do not condense. On the other hand, in the third sector the degrees of freedom are fermionic and a shift in the ground state energy is found in the harmonic oscillator potential, which points to the existence of a Fermi sea and the condensation of the long strings. A collective field that can be used to study this sector is proposed and the technical difficulties presented by the study of this sector are discussed, but its study is left for future work. en
dc.language.iso eng en
dc.publisher University of British Columbia en
dc.title Non-singlet sectors of the c=1 matrix model with connections to two dimensional string theory en
dc.type Electronic Thesis or Dissertation en
dc.degree.name Master of Science - MSc en
dc.degree.discipline Physics en
dc.degree.grantor University of British Columbia en
dc.date.graduation 2012-11 en
dc.degree.campus UBCV en
dc.description.scholarlevel Graduate en

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