Integrability in SFT and new representation of dispersionless KP tau-function
Author(s) -
Alexey Boyarsky,
Oleg Ruchayskiy
Publication year - 2003
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2003/03/027
Subject(s) - conformal field theory , mathematical physics , physics , boson , boundary (topology) , conformal map , boundary conformal field theory , field (mathematics) , transformation (genetics) , string (physics) , vacuum state , boundary value problem , integrable system , function (biology) , string theory , pure mathematics , mathematics , mathematical analysis , neumann boundary condition , quantum mechanics , robin boundary condition , biochemistry , chemistry , evolutionary biology , biology , gene
We are investigating the properties of vacuum and boundary states in the CFTof free bosons under the conformal transformation. We show that transformedvacuum (boundary state) is given in terms of tau-functions of dispersionless KP(Toda) hierarchies. Applications of this approach to string field theory isconsidered. We recognize in Neumann coefficients the matrix of secondderivatives of tau-function of dispersionless KP and identify surface stateswith the conformally transformed vacuum of free field theory.Comment: 25 pp, LaTeX, reference added in the Section 3.
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