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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Numerical study on schramm-loewner evolution in nonminimal conformal field theories
Marco Picco1, Raoul Santachiara
1LPTHE, Université Pierre et Marie Curie-Paris6, 4 Place Jussieu, 75005 Paris, France. picco@lpthe.jussieu.fr
Physical Review Letters
|February 1, 2008
Summary
We explored fractal interfaces in Z(N) spin models using Schramm-Loewner evolution (SLE). Our findings align with theoretical predictions for nonminimal conformal field theories (CFTs).
Area of Science:
- Statistical Mechanics
- Quantum Field Theory
- Fractal Geometry
Background:
- Schramm-Loewner evolution (SLE) is established for minimal conformal field theories (CFTs).
- Z(N) spin models at self-dual critical points involve nonminimal CFTs with ZN symmetry.
- Fractal interfaces in 2D critical systems require advanced theoretical tools.
Purpose of the Study:
- To investigate fractal interfaces in Z(N) spin models (N=4, 5) at their self-dual critical points.
- To provide numerical evidence for SLE candidates in nonminimal CFTs.
- To test recent theoretical predictions for fractal dimensions in these systems.
Main Methods:
- Numerical computation of fractal dimensions for interfaces in Z(N) spin models.
- Analysis of lattice models in the continuum limit using nonminimal CFT.
- Application of Schramm-Loewner evolution (SLE) concepts to systems beyond minimal CFTs.
Main Results:
- Numerical results for the fractal dimension of interfaces were obtained for N=4 and N=5.
- These results serve as SLE candidates for nonminimal CFTs.
- The computed fractal dimensions show excellent agreement with recent theoretical predictions.
Conclusions:
- The study successfully extends the application of SLE to nonminimal CFTs.
- Numerical findings support theoretical models for fractal interfaces in Z(N) spin systems.
- This work validates theoretical predictions and advances understanding of critical phenomena.
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