Spinorial higherspin gauge theory from IKKT model in Euclidean and Minkowski signatures
Abstract
We explore the semiclassical relation between the fuzzy 4hyperboloid H_{N}^{4} and noncompact quantized twistor space ℙ_{N}^{1 ,2} at large N. This provides two backgrounds of the IKKT matrix model via two natural stereographic projections, leading to higherspin gauge theories with Euclidean and Minkowski signature denoted by HSIKKT. The resulting higherspin gauge theory can be understood as an uplift of N = 4 super YangMills to twistor space. The action of HSIKKT is written using a spinor formalism in both in Euclidean and Minkowski signature. We then compute the treelevel amplitudes of the massless sector within the YangMills part of the HSIKKT model in the flat limit in Euclidean signature. All npoint treelevel scattering amplitudes for n ≥ 4 of this sector are found to vanish in the flat limit.
 Publication:

Journal of High Energy Physics
 Pub Date:
 December 2023
 DOI:
 10.1007/JHEP12(2023)010
 arXiv:
 arXiv:2305.19351
 Bibcode:
 2023JHEP...12..010S
 Keywords:

 Higher Spin Gravity;
 Matrix Models;
 NonCommutative Geometry;
 High Energy Physics  Theory
 EPrint:
 50 pages