A twistorial description of the IKKT-matrix model

A bstract We consider the fuzzy 4-sphere $$ {S}_N^4 S N 4 as a background in IKKT matrix model, and explore relation between twistor space semi-classical limit. novel description for IKKT-matrix model terms of spinorial indices is given, which reminiscent \mathcal{N} = 4 super-symmetric Yang-Mills (SYM) d . On space, interactions are gravitational type. The higher-spin (HS) gauge theory emerging this limit from denoted HS-IKKT, on shown to be extension SYM, with vertices that have more than two derivatives. obtain its (Euclidean) spacetime action using Penrose transform. Although theory, it shares many features extensions flat obtained [1, 2]. tree-level amplitudes HS-IKKT studied self-dual sector by dropping some parts cubic- quartic interactions, reduce \mathcal{BF} BF -type commutative deformed projective space.