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Alternating arm exponents for the critical planar Ising model. (English) Zbl 1428.60119
Summary: We derive the alternating arm exponents of the critical Ising model. We obtain six different patterns of alternating boundary arm exponents which correspond to the boundary conditions \((\ominus\oplus)\), \((\ominus\mathrm{free})\) and (free free), and the alternating interior arm exponents.

MSC:
60J67 Stochastic (Schramm-)Loewner evolution (SLE)
60K35 Interacting random processes; statistical mechanics type models; percolation theory
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
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