The tricritical point at the learning transition of deformed toric codes is a higher Nishimori critical point where the Edwards-Anderson correlation exponent exactly matches the clean Ising spin exponent and c_eff is greater than 1/2, decreasing under RG flow.
Cardy, Conformal Field Theory and Statistical Mechanics (2008), arXiv:0807.3472 [cond-mat.stat-mech]
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The lectures provide a pedagogical introduction to the methods of CFT as applied to two-dimensional critical behaviour.
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Analytic continuation of marginal couplings produces complex CFTs, with no genuinely complex rational CFTs existing, and exact defect results verified in non-Hermitian Ising and fermion chains.
Compactification of the non-compact algebraic varieties of Z_N-graded Sugawara constructions on u(1)^2 Kac-Moody yields BMS3-like algebras Vir ⋊ F with F nilpotent of depth r < N for N>2, with depth tied to singularity order.
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Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes
The tricritical point at the learning transition of deformed toric codes is a higher Nishimori critical point where the Edwards-Anderson correlation exponent exactly matches the clean Ising spin exponent and c_eff is greater than 1/2, decreasing under RG flow.
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Complex Conformal Manifolds
Analytic continuation of marginal couplings produces complex CFTs, with no genuinely complex rational CFTs existing, and exact defect results verified in non-Hermitian Ising and fermion chains.
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$BMS_3$-like algebras via the $Z_N$-graded $u(1)^2$ Kac-Moody algebra
Compactification of the non-compact algebraic varieties of Z_N-graded Sugawara constructions on u(1)^2 Kac-Moody yields BMS3-like algebras Vir ⋊ F with F nilpotent of depth r < N for N>2, with depth tied to singularity order.