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The dimensional reductions in the branched polymer and the random field Ising model (RFIM) are discussed by a conformal bootstrap method.
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J. Cardy, Exact scaling functions for self-avoiding loops and branched polymers, J. Phys. A: Math. Gen. 34 (2001) L665
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E. Brezin and C. De Dominicis, Interactions of several replicas in the random field Ising model, European Physical Journal B19 (2001) 467. arXiv: cond-mat/0007457
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D.C. Brydges and J.Z. Imbrie, Branched polymers and dimensional reduction, Annals of mathematics, 158 (2003) 1019
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V.S. Dotsenko, On the nature of the phase transition in the three dimensional random field Ising model, J. Stat. Mech, (2007) P09005
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M. Tissier and G. Tarjus, Supersymmetry and its spontaneous breaking in the random field Ising model, Phys. Rev. Lett. 107 (2011), 041601
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H.Shimada and S. Hikami, Fractal dimensions of self-avoiding walks and Ising high-temperature graphs in 3D conformal bootstrap, J. Stat. Phys. 165 (2016) 1006
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L.Fei, S. Giombi, I. Klebanov and G. Tarnopolsky, Yukawa conformal field theories and emergent supersymmetry, Prog. Theor. Exp. Phys. 2016, 12C105 (2016)
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D. Poland, S. Rychkov and A. Vichi, The conformal bootstrap: Theory, numerical techniques, and applications. Rev. Mod. Phys. 91, 015002 (2019), arXiv: 1805.04405,
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