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Correlation functions in a c = 1 boundary conformal field theory

Kristján R. Kristjánsson1,2 and Lárus Thorlacius1,3

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We obtain exact results for correlation functions of primary operators in the two-dimensional conformal field theory of a scalar field interacting with a critical periodic boundary potential. Amplitudes involving arbitrary bulk discrete primary fields are given in terms of SU(2) rotation coefficients while boundary amplitudes involving discrete boundary fields are independent of the boundary interaction. Mixed amplitudes involving both bulk and boundary discrete fields can also be obtained explicitly. Two- and three-point boundary amplitudes involving fields at generic momentum are determined, up to multiplicative constants, by the band spectrum in the open-string sector of the theory.


Keywords

Quantum Dissipative Systems

Tachyon Condensation

Conformal Field Models in String Theory

 

E-print Number: hep-th/0412175

Cited: by |

Refers: to

PACS

11.25.Hf Conformal field theory, algebraic structures

11.10.St Bound and unstable states; Bethe-Salpeter equations

11.30.Ly Other internal and higher symmetries

11.30.Na Nonlinear and dynamical symmetries (spectrum-generating symmetries)

Subjects

Particle physics and field theory

Dates

Issue 01 (January 2005)

Received 22 December 2004, accepted for publication 26 January 2005

Published 4 February 2005



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