TL;DR
This paper derives boundary and interior arm exponents for SLE$(u00a7)$, providing insights into the critical behavior of lattice models and their convergence to SLE, with implications for understanding phase transitions.
Contribution
It introduces explicit formulas for boundary and interior arm exponents for SLE$(u00a7)$, linking them to lattice model convergence and phase transition analysis.
Findings
Derived boundary arm exponents for SLE$(u00a7)$
Derived interior arm exponents for SLE$(u00a7)$
Connected exponents to lattice model convergence
Abstract
We derive boundary arm exponents and interior arm exponents for SLE. Combining with the possible convergence of critical lattice models to SLE, these exponents would give the corresponding alternating half-plane arm exponents and alternating plane arm exponents for the lattice models.
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Taxonomy
TopicsPhysics of Superconductivity and Magnetism · Algebraic structures and combinatorial models · Theoretical and Computational Physics