On perturbations of unitary minimal models by boundary condition changing operators | Zendy

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On perturbations of unitary minimal models by boundary condition changing operators

Author(s) -

Kevin Graham

Publication year - 2002

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 - 10.1088/1126-6708/2002/03/028

Subject(s) - unitary state , boundary conformal field theory , boundary value problem , conformal map , minimal models , mathematics , perturbation (astronomy) , boundary (topology) , diagrammatic reasoning , lattice (music) , conformal field theory , mathematical analysis , mathematical physics , physics , pure mathematics , mixed boundary condition , robin boundary condition , quantum mechanics , computer science , political science , law , programming language , acoustics

In this note we consider boundary perturbations in the A-Series unitaryminimal models by phi_{r,r+2} fields on superpositions of boundaries. Inparticular, we consider perturbations by boundary condition changing operators.Within conformal perturbation theory we explicitly map out the space ofperturbative renormalisation group flows for the example phi_{1,3} and findthat this sheds light on more general phi_{r,r+2} perturbations. Finally, wefind a simple diagrammatic representation for the space of flows from a singleCardy boundary condition.Comment: 27 pages, 10 figure

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