Correlation functions in a c=1 boundary conformal field theory | Zendy

Kristján Kristjánsson | Zendy; Lárus Thorlacius | Zendy

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Correlation functions in a c=1 boundary conformal field theory

Author(s) -

Kristján Kristjánsson,

Lárus Thorlacius

Publication year - 2005

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 - 10.1088/1126-6708/2005/01/047

Subject(s) - boundary (topology) , boundary conformal field theory , amplitude , mathematical analysis , physics , conformal field theory , mathematical physics , boundary value problem , scalar field , scalar (mathematics) , conformal map , mixed boundary condition , mathematics , multiplicative function , quantum electrodynamics , quantum mechanics , robin boundary condition , geometry

We obtain exact results for correlation functions of primary operators in thetwo-dimensional conformal field theory of a scalar field interacting with acritical periodic boundary potential. Amplitudes involving arbitrary bulkdiscrete primary fields are given in terms of SU(2) rotation coefficients whileboundary amplitudes involving discrete boundary fields are independent of theboundary interaction. Mixed amplitudes involving both bulk and boundarydiscrete fields can also be obtained explicitly. Two- and three-point boundaryamplitudes involving fields at generic momentum are determined, up tomultiplicative constants, by the band spectrum in the open-string sector of thetheory.Comment: 33 pages, 6 figure

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