Sine-Square Deformation and its Relevance to String Theory

TL;DR

This paper explores sine-square deformation in 2D conformal field theories, revealing its impact on string duality and worldsheet metrics, and investigates the structure of vacua to understand string theory better.

Contribution

It introduces a novel analysis of sine-square deformation's effects on string theory, linking worldsheet dynamics to string duality and vacuum structure.

Findings

Deformation causes divergence in the worldsheet metric.

Sine-square deformation affects the structure of vacua.

Potential insights into string duality through worldsheet analysis.

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.