PoS - Proceedings of Science
Volume 406 - Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2021) - Workshop on Quantum Geometry, Field Theory and Gravity
Twisted geometry for submanifolds of $\mathbb{R}^n$
G. Fiore* and T. Weber
Full text: pdf
Published on: November 23, 2022
Abstract
This is a friendly introduction to our recent general procedure for constructing noncommutative deformations of an embedded submanifold $M$ of $\mathbb{R}^n$ determined by a set of smooth equations $f^a(x)=0$. We use the framework of Drinfel'd twist deformation of differential geometry pioneered in [Aschieri et al., Class. Quantum Gravity 23 (2006), 1883]; the commutative pointwise product
is replaced by a (generally noncommutative) $\star$-product determined by a Drinfel'd twist.
DOI: https://doi.org/10.22323/1.406.0305
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