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

Abstract

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.

19 pages, 2 figures, final version

References in corpus (5)

• Connecting distant ends of one-dimensional critical systems by a sine-square deformation
• Exact ground state of the sine-square deformed XY spin chain
• Suppression of finite-size effects in one-dimensional correlated systems
• Infinite circumference limit of conformal field theory
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• Classification of $S{L}_2$ deformed Floquet Conformal Field Theories
• Periodically, Quasi-periodically, and Randomly Driven Conformal Field Theories (II): Furstenberg's Theorem and Exceptions to Heating Phases
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