2D fuzzy anti-de Sitter space from matrix models

Autor(en)

Danijel Jurman, Harold Steinacker

Abstrakt

We study the fuzzy hyperboloids AdS 2 and dS 2 as brane solutions in matrix models. The unitary representations of SO(2, 1) required for quantum field theory are identified, and explicit formulae for their realization in terms of fuzzy wavefunctions are given. In a second part, we study the (A)dS 2 brane geometry and its dynamics, as governed by a suitable matrix model. In particular, we show that trace of the energy-momentum tensor of matter induces transversal perturbations of the brane and of the Ricci scalar. This leads to a linearized form of Henneaux-Teitelboim-type gravity, illustrating the mechanism of emergent gravity in matrix models.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

Rudjer Boskovic Institute

Journal

Journal of High Energy Physics

Band

2014

Anzahl der Seiten

27

ISSN

1029-8479

DOI

https://doi.org/10.1007/JHEP01(2014)100

Publikationsdatum

01-2014

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/9f9cf385-1d69-4481-9584-a753b64f699f