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20222026
most citedApproximate treatment of noncommutative curvature in quartic matrix model

6 citations · 9 across the 6 of their papers we have counts for

collaborators

6 papers

hep-th2026

Accretion, mergers, and metastability of fuzzy spheres in a three-matrix model

M. Hrmo, S. Kováčik, K. Magdolenová +5

A three-matrix model that contains a plethora of fuzzy sphere solutions was defined twenty years ago. It has been shown that in a certain regime of the model, combinations of fuzzy…

hep-th2026

Numerical Study of Scalar Field Theory on the Fuzzy Onion

Matej Hrmo, Samuel Kováčik, Juraj Tekel

We study the behaviour of the scalar field theory on the fuzzy onion model -- a three-dimensional matrix model consisting of concentric fuzzy spheres of gradually increasing radii.…

hep-th2024

The Fuzzy Onion: An Initial Study

Samuel Kováčik, Juraj Tekel, Matej Hrmo

In our previous contribution, we introduced a matrix formulation of a three-dimensional quantum space named the fuzzy onion. The novel part of the construction is the radial deriva…

hep-th2023★ 3 cited

Phase transitions in a matrix model on a curved noncommutative space

Dragan Prekrat, Dragana Ranković, Neli Kristina Todorović-Vasović +2

In this contribution, we summarize our recent studies of the phase structure of the Grosse-Wulkenhaar model and its connection to renormalizability. Its action contains a special t…

hep-th2023

The Fuzzy Onion: A proposal

S. Kováčik, J. Tekel

It is generally believed that the space has a nontrivial structure which is apparent on the order of the Planck length. There is a class of models of three-dimensional quantum spac…

hep-th2022★ 6 cited

Approximate treatment of noncommutative curvature in quartic matrix model

D. Prekrat, D. Ranković, N. K. Todorović-Vasović +2

We study a Hermitian matrix model with the standard quartic potential amended by a term for fixed external matrix . This is motivated by a curvature term in…