Sine-Square Deformation and its Relevance to String Theory

Abstract

Sine-square deformation, a recently found modulation of the coupling strength in certain statistical models, is discussed in the context of two-dimensional conformal field theories, with particular attention to open/closed string duality. This deformation is shown to be non-trivial and leads to a divergence in the worldsheet metric. The structure of the vacua of the deformed theory is also investigated. The approach advocated here may provide an understanding of string duality through the worldsheet dynamics.

arXiv comment15 pages, 4 figures

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Cited by in corpus (20)

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• Sine-square deformation and Mobius quantization of two-dimensional conformal field theory
• Holographic Duals of Inhomogeneous Systems: The Rainbow Chain and the Sine-Square Deformation Model
• Dipolar quantization and the infinite circumference limit of two-dimensional conformal field theories
• Infinite circumference limit of conformal field theory
• Magnetic susceptibility of quantum spin systems calculated by sine square deformation: one-dimensional, square lattice, and kagome lattice Heisenberg antiferromagnets
• Zero-energy states in conformal field theory with sine-square deformation
• Conformal Quantum Mechanics and Sine-Square Deformation
• The Real-Time Correlation Function of Floquet Conformal Fields
• Sine-square deformation and supersymmetric quantum mechanics
• Time development of conformal field theories associated with $L_1$ and $L_{-1}$ operators
• Exactly Solvable Floquet Dynamics for Conformal Field Theories in Dimensions Greater than Two
• Bridging two quantum quench problems -- local joining quantum quench and Möbius quench -- and their holographic dual descriptions
• Sine-square deformed mean-field theory
• Analysis for Lorentzian conformal field theories through sine-square deformation
• Closed string symmetries in open string field theory: tachyon vacuum as sine-square deformation
• Energy Scale Deformation on Regular Polyhedra
• Bulk Property on Cayley Tree with Smooth Boundary Condition