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.

15 pages, 4 figures

References in corpus (3)

• 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

Cited by in corpus (6)

• Floquet conformal field theories with generally deformed Hamiltonians
• Infinite circumference limit of conformal field theory
• Zero-energy states in conformal field theory with sine-square deformation
• The Real-Time Correlation Function of Floquet Conformal Fields
• Analysis for Lorentzian conformal field theories through sine-square deformation
• Bulk Property on Cayley Tree with Smooth Boundary Condition