Splitting of Heterogeneous Boundaries in a System of the Tricritical Ising Model Coupled to 2-Dim Gravity | Zendy

Masahiro Anazawa | Zendy; Atushi Ishikawa | Zendy

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Splitting of Heterogeneous Boundaries in a System of the Tricritical Ising Model Coupled to 2-Dim Gravity

Author(s) -

Masahiro Anazawa,

Atushi Ishikawa

Publication year - 2000

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.104.1309

Subject(s) - physics , ising model , boundary (topology) , amplitude , conformal map , boundary value problem , limit (mathematics) , matrix (chemical analysis) , mathematical physics , classical mechanics , statistical physics , quantum mechanics , geometry , mathematical analysis , mathematics , materials science , composite material

We study disk amplitudes whose boundaries have heterogeneous matter states ina system of $(4,5)$ conformal matter coupled to 2-dim gravity. They areanalysed by using the 3-matrix chain model in the large $N$ limit. Each of theboundaries is composed of two or three parts with distinct matter states. Fromthe obtained amplitudes, it turns out that each heterogeneous boundary loopsplits into several loops and we can observe properties in the splittingphenomena that are common to each of them. We also discuss the relation toboundary operators.Comment: 10 pages, Latex, 3 figure

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