S-matrix bootstrap: Supersymmetry, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>, and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:math> symmetry

Abstract

We consider the 2D S-matrix bootstrap in the presence of supersymmetry, ${\mathbb{Z}}_{2}$, and ${\mathbb{Z}}_{4}$ symmetry. At the boundary of the allowed S-matrix space we encounter well-known integrable models such as the supersymmetric sine-Gordon and restricted sine-Gordon models, novel elliptic deformations thereof, as well as a two parameter family of ${\mathbb{Z}}_{4}$ elliptic S-matrices previously proposed by Zamolodchikov. We highlight an intricate web of relations between these various S-matrices.

Topics & Concepts