Proves sine-Gordon OPEs for derivative fields develop log singularities and generate Wick exponentials using Onsager-type inequalities and GFF moment bounds.
Correlations of primary fields in the critical Ising model
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Proves bosonization identities for critical Ising correlations in finitely-connected planar domains via limiting Hejhal-Fay identity and OPEs, yielding expressions in terms of period matrix, Green's function and Abelian differentials.
Proves convergence of even multi-point correlations in the fuzzy 4-Potts model to Coulomb-gas neutral charge sums and identifies moments of the limiting magnetization field.
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Operator product expansions of derivative fields in the sine-Gordon model
Proves sine-Gordon OPEs for derivative fields develop log singularities and generate Wick exponentials using Onsager-type inequalities and GFF moment bounds.
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Bosonization of primary fields for the critical Ising model on multiply connected planar domains
Proves bosonization identities for critical Ising correlations in finitely-connected planar domains via limiting Hejhal-Fay identity and OPEs, yielding expressions in terms of period matrix, Green's function and Abelian differentials.
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Multi-point functions of a full-plane two-state fuzzy $4$-Potts model
Proves convergence of even multi-point correlations in the fuzzy 4-Potts model to Coulomb-gas neutral charge sums and identifies moments of the limiting magnetization field.