SUSY S-matrix Bootstrap and Friends

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.

arXiv comment11 pages, 7 figures

References in corpus (8)

• The S-matrix Bootstrap I: QFT in AdS
• The S-matrix Bootstrap II: Two Dimensional Amplitudes
• Bootstrapping QCD: the Lake, the Peninsula and the Kink
• The S-matrix Bootstrap IV: Multiple Amplitudes
• Adding flavour to the S-matrix bootstrap
• A note on the S-matrix bootstrap for the 2d O(N) bosonic model
• No Particle Production in Two Dimensions: Recursion Relations and Multi-Regge Limit
• Supersymmetric integrable theories from no particle production

Cited by in corpus (14)

• Bootstrapping Pions at Large $N$
• Lifting Heptagon Symbols to Functions
• Dual S-matrix Bootstrap I: 2D Theory
• S-matrix bootstrap in 3+1 dimensions: regularization and dual convex problem
• Rigorous bounds on the Analytic $S$-matrix
• Constraints on Sequential Discontinuities from the Geometry of On-shell Spaces
• Nonperturbative Bounds on Scattering of Massive Scalar Particles in $d\ge 2$
• Bootstrapping the $a$-anomaly in $4d$ QFTs
• Thermodynamic Bethe Ansatz past turning points: the (elliptic) sinh-Gordon model
• Bounds on photon scattering
• The R-matrix bootstrap for the 2d O(N) bosonic model with a boundary
• Bootstrapping 2d ${\varphi }^4$ Theory with Hamiltonian Truncation Data
• Exploring Inelasticity in the S-Matrix Bootstrap
• From conformal correlators to analytic S-matrices: CFT${}_1$/QFT${}_2$