A twistorial description of the IKKT-matrix model

Autor(en)

Harold C. Steinacker, Tung Tran

Abstrakt

We consider the fuzzy 4-sphere S4N as a background in the IKKT matrix model, and explore the relation between S4N and fuzzy twistor space in the semi-classical limit. A novel description for the IKKT-matrix model in terms of spinorial indices is given, which is reminiscent of N = 4 super-symmetric Yang-Mills (SYM) in 4d. On fuzzy twistor space, the interactions of the IKKT model are of gravitational type. The higher-spin (HS) gauge theory emerging in this limit from the IKKT model, denoted as HS-IKKT, on fuzzy twistor space is shown to be a higher-spin extension of N = 4 SYM, with vertices that have more than two derivatives. We obtain its (Euclidean) spacetime action using the Penrose transform. Although this is a gravitational theory, it shares many features with the higher-spin extensions of Yang-Mills in 4d flat space obtained in [1, 2]. The tree-level amplitudes of the HS-IKKT are studied in the semi-classical flat limit. The self-dual gauge sector of the IKKT model is obtained by dropping some parts of the cubic- and the quartic interactions, which is shown to reduce to a BF-type action on commutative deformed projective twistor space.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

University of Mons

Journal

Journal of High Energy Physics

Band

2022

Anzahl der Seiten

51

ISSN

1029-8479

DOI

https://doi.org/10.1007/JHEP11(2022)146

Publikationsdatum

11-2022

Peer-reviewed

Ja

ÖFOS 2012

103012 Hochenergiephysik

Schlagwörter

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/dd72bba4-a5d4-4c97-8da1-8fcf6f5c1de2