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Sine-square deformation and Mobius quantization of two-dimensional conformal field theory

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arxiv 1603.09543 v2 pith:UJQ4ZRZ3 submitted 2016-03-31 hep-th cond-mat.stat-mechmath-phmath.MP

classification hep-thcond-mat.stat-mechmath-phmath.MP
keywords quantizationmobiusalgebraapproachconformaldeformationdipolarfield
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Motivated by sine-square deformation (SSD) for quantum critical systems in 1+1-dimension, we discuss a Mobius quantization approach to the two-dimensional conformal field theory (CFT), which bridges the conventional radial quantization and the dipolar quantization recently proposed by Ishibashi and Tada. We then find that the continuous Virasoro algebra of the dipolar quantization can be interpreted as a continuum limit of the Virasoro algebra for scaled generators in the SSD limit of the Mobius quantization approach.

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Cited by 2 Pith papers

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

  1. Emergent Spatial Structure and Entanglement Localization in Floquet Conformal Field Theory

    cond-mat.str-el 2019-08 conditional novelty 7.0 of 10

    Under sine-square-deformed Floquet driving of a 1+1D CFT, the heating phase localizes energy and Bell-pair entanglement at two fixed-point peaks, and E scales as the exponential of the entropy.

  2. Symmetry resolved entanglement entropy after an inhomogeneous quench

    hep-th 2025-04 conditional novelty 6.0 of 10

    After a quench to a sine-square deformed Hamiltonian, symmetry-resolved entanglement entropy grows as log t, with a subleading charge-dependent correction that breaks equipartition.

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