Symmetry, gravity and noncommutativity

RJ Szabo - Classical and Quantum Gravity, 2006 - iopscience.iop.org
We review some aspects of the implementation of spacetime symmetries in noncommutative
field theories, emphasizing their origin in string theory and how they may be used to …

On the quantum structure of space-time, gravity, and higher spin in matrix models

HC Steinacker - Classical and Quantum Gravity, 2020 - iopscience.iop.org
In this introductory review, we argue that a quantum structure of space-time naturally entails
a higher-spin theory, to avoid significant Lorentz violation. A suitable framework is provided …

Emergent cosmology from matrix theory

S Brahma, R Brandenberger, S Laliberte - Journal of High Energy Physics, 2022 - Springer
A bstract Matrix theory is a proposed non-perturbative definition of superstring theory in
which space is emergent. We begin a study of cosmology in the context of matrix theory …

Emergent gravity from noncommutative gauge theory

H Steinacker - Journal of High Energy Physics, 2007 - iopscience.iop.org
We show that the matrix-model action for noncommutative U (n) gauge theory actually
describes SU (n) gauge theory coupled to gravity. This is elaborated in the 4-dimensional …

[CARTE][B] Quantum Geometry, Matrix Theory, and Gravity

HC Steinacker - 2024 - books.google.com
Building on mathematical structures familiar from quantum mechanics, this book provides an
introduction to quantization in a broad context before develo** a framework for quantum …

Emergent gravity from noncommutative space–time

HS Yang - International Journal of Modern Physics A, 2009 - World Scientific
We showed before that self-dual electromagnetism in noncommutative (NC) space–time is
equivalent to self-dual Einstein gravity. This result implies a striking picture about gravity …

Covariant 4-dimensional fuzzy spheres, matrix models and higher spin

M Sperling, HC Steinacker - Journal of Physics A: Mathematical …, 2017 - iopscience.iop.org
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Quantisation of type IIB superstring theory and the matrix model

Y Asano - Journal of High Energy Physics, 2024 - Springer
A bstract We discuss the path-integral quantisation of perturbative string theory and show
equivalence between the Polyakov-type, Schild-type and Nambu-Goto-type formulations of …

Covariant cosmological quantum space-time, higher-spin and gravity in the IKKT matrix model

M Sperling, HC Steinacker - Journal of High Energy Physics, 2019 - Springer
A bstract We discuss a (3+ 1)-dimensional covariant quantum space-time describing a
FLRW cosmology with Big Bounce, obtained by a projection of the fuzzy hyperboloid H 4 n …

Emergent gravity on covariant quantum spaces in the IKKT model

HC Steinacker - Journal of High Energy Physics, 2016 - Springer
A bstract We study perturbations of 4-dimensional fuzzy spheres as backgrounds in the IKKT
or IIB matrix model. Gauge fields and metric fluctuations are identified among the excitation …