Abstract
Abstract
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 $$ {\mathcal{M}}^{3,1}\times \mathcal{K}\subset {\mathbb{R}}^{9,1} $$
M
3
,
1
×
K
⊂
ℝ
9
,
1
, where $$ {\mathcal{M}}^{3,1} $$
M
3
,
1
is the noncommutative space-time brane, and $$ \mathcal{K} $$
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 $$ \mathcal{K} $$
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 $$ \mathcal{K} $$
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Cited by
3 articles.
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