Fuzzy Black Holes from Mass Generation in Matrix Compactification

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Hauptverfasser: Laurenzano, Davide, Wheater, John F.
Format: Preprint
Veröffentlicht: 2025
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author Laurenzano, Davide
Wheater, John F.
author_facet Laurenzano, Davide
Wheater, John F.
contents We investigate a mechanism for generating mass terms in the IKKT and BFSS matrix theories through compactification on a torus and the derivation of a zero-mode effective theory, emphasising the crucial role of fermionic boundary conditions. Extending a recent proposal developed for the IKKT model to the BFSS framework, we explore a broader class of mixed fermionic boundary conditions in both theories. This choice leads to a distinct effective theory with intermediate features, where a mass term is generated together with fermionic zero modes. In the BFSS case, this setup further allows for the construction of black hole solutions. The resulting geometry takes the form of a fuzzy sphere, with quantum excitations in the fermionic sector accounting for the corresponding black hole entropy.
format Preprint
id arxiv_https___arxiv_org_abs_2511_10430
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fuzzy Black Holes from Mass Generation in Matrix Compactification
Laurenzano, Davide
Wheater, John F.
High Energy Physics - Theory
We investigate a mechanism for generating mass terms in the IKKT and BFSS matrix theories through compactification on a torus and the derivation of a zero-mode effective theory, emphasising the crucial role of fermionic boundary conditions. Extending a recent proposal developed for the IKKT model to the BFSS framework, we explore a broader class of mixed fermionic boundary conditions in both theories. This choice leads to a distinct effective theory with intermediate features, where a mass term is generated together with fermionic zero modes. In the BFSS case, this setup further allows for the construction of black hole solutions. The resulting geometry takes the form of a fuzzy sphere, with quantum excitations in the fermionic sector accounting for the corresponding black hole entropy.
title Fuzzy Black Holes from Mass Generation in Matrix Compactification
topic High Energy Physics - Theory
url https://arxiv.org/abs/2511.10430