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Shadow of complex fixed point: Approximate conformality of Q>4 Potts model

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arxiv 1811.11189 v3 pith:7OH6TUXZ submitted 2018-11-27 cond-mat.str-el cond-mat.stat-mechhep-th

Han Ma , Yin-Chen He This is my paper · ORCID
classification cond-mat.str-elcond-mat.stat-mechhep-th
keywords complexconformalcentralcftschargefirstordertransitions
verification ladder T0 review T1 audit T2 compute T3 formal

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We study the famous example of weakly first order phase transitions in the 1+1D quantum Q-state Potts model at Q>4. We numerically show that these weakly first order transitions have approximately conformal invariance. Specifically, we find entanglement entropy on considerably large system sizes fits perfectly with the universal scaling law of this quantity in the conformal field theories (CFTs). This supports that the weakly first order transitions is proximate to complex fixed points, which are described by recent conjectured complex CFTs. Moreover, the central charge extracted from this fitting is close to the real part of the complex central charge of these complex CFTs. We also study the conformal towers and the drifting behaviors of these conformal data (e.g., central charge and scaling dimensions).

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Exactly solvable non-unitary conformal interfaces in unitary CFTs

    cond-mat.stat-mech 2026-06 unverdicted novelty 7.0 of 10

    An SL(2,C)-parametrized family of exactly solvable non-unitary conformal interfaces is constructed on the lattice in unitary CFTs via analytic continuation, leading to a non-unitary Cardy condition and logarithmic ent...

  2. Complex Conformal Manifolds

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    Complexified exactly-marginal couplings produce solvable complex CFTs, with the Ising defect verified numerically in non-Hermitian chains.

  3. Extracting Boundary Conformal Data from Periodic Non-Hermitian Critical Chains

    cond-mat.stat-mech 2026-06 conditional novelty 7.0 of 10

    Periodic-chain projected overlaps with paired left duals extract universal boundary CFT coefficients, including a negative Yang-Lee ratio and complex Potts boundary data.

  4. Complex CFTs: Holography and Interfaces

    hep-th 2026-08 conditional novelty 4.0 of 10

    Holographic and CFT constructions of interfaces between complex conjugate CFTs, with a leading-order holographic check of the Im-flip relation and super-transmission signatures of non-unitarity.

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