On the 1-loop effective action for the IKKT model and non-commutative branes

Autor(en)

Daniel Blaschke, Harold Steinacker

Abstrakt

We study the one-loop effective action of the IKKT or IIB model on a 4-dimensional non-commutative brane background. The trace U(1) sector is governed by non-commutativity, and leads - assuming no SUSY breaking - to a higher-derivative effective action. In contrast, the non-Abelian sector at low energies reduces to SU(N) N = 4 Super-Yang-Mills on the brane, with a global 50(9, I) symmetry broken spontaneously by the background. In the Coulomb branch, we recover the leading contribution to the Dirac-Born-Infeld (DBI) action, exhibiting a S(5) x AdS(5) bulk geometry around a stack of branes. SUSY may be broken by compact extra dimensions M(4) x K, leading to an induced gravitational action on M(4) due to the trace U(1) sector. The one-loop effective action is UV finite on such backgrounds, and the UV/IR mixing is non-pathological.

Organisation(en)

Mathematische Physik

Journal

Journal of High Energy Physics

Band

2011

Anzahl der Seiten

40

ISSN

1029-8479

DOI

https://doi.org/10.1007/JHEP10(2011)120

Publikationsdatum

2011

Peer-reviewed

Ja

ÖFOS 2012

103012 Hochenergiephysik, 103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/a2793ad9-9712-4c96-a159-094132acb2b3