One-loop effective action and emergent gravity on quantum spaces in the IKKT matrix model

Autor(en)

Harold C. Steinacker

Abstrakt

A detailed derivation of 3 + 1 dimensional induced or emergent gravity in the IKKT matrix model at one loop is given, as announced in [1]. The mechanism requires a brane configuration with structure M3 , 1× K⊂ ℝ9 , 1 , where M3 , 1 is the noncommutative space-time brane, and K are compact fuzzy extra dimensions embedded in target space. The 3+1-dimensional Einstein-Hilbert action then arises in the one loop effective action of the maximally supersymmetric IIB or IKKT matrix model, with effective Newton constant determined by the Kaluza-Klein scale of K . At weak coupling, all physical modes are confined to the brane, leading to 3 + 1-dimensional low-energy physics. The Einstein-Hilbert action can be interpreted as interaction of K with the space-time brane via IIB supergravity. The vacuum energy does not act as cosmological constant, but stabilizes the brane structure at one loop.

Organisation(en)

Mathematische Physik

Journal

Journal of High Energy Physics

Band

2023

Anzahl der Seiten

40

ISSN

1029-8479

DOI

https://doi.org/10.48550/arXiv.2303.08012

Publikationsdatum

05-2023

Peer-reviewed

Ja

ÖFOS 2012

103012 Hochenergiephysik, 103028 Relativitätstheorie

Schlagwörter

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/ddc562af-f0d5-4685-9d78-20da7a215931