Spinorial higher-spin gauge theory from IKKT in Euclidean and Minkowski signatures

2023/05/30 by Steinacker, Harold, Tran, Tung
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2305.19351

Abstract

We explore the semi-classical relation between the fuzzy 4-hyperboloid H_N⁴ and non-compact quantized twistor space ℙ^1,2 at large N. This provides two backgrounds N of the IKKT matrix model via two natural stereographic projections, leading to higher-spin gauge theories with Euclidean and Minkowski signature denoted by HS-IKKT. The resulting higher-spin gauge theory can be understood as an uplift of N = 4 super Yang-Mills to twistor space. The action of HS-IKKT is written using a spinor formalism in both Euclidean and Minkowski signature. We then compute the tree-level amplitudes of the massless sector within the Yang-Mills part of the HS-IKKT model in the flat limit in Euclidean signature. All n-point tree-level scattering amplitudes for n ≥ 4 of this sector are found to vanish in the flat limit.

Related

• Spinorial description for Lorentzian \mathfrakhs-IKKT
• Twistor approach to higher-spin theories and matrix model
• Quantum \mathfrakhs-Yang-Mills from the IKKT matrix model
• Super Yang-Mills Theory as a Twistor Matrix Model
• Chiral higher-spin theories from twistor space