D-branes Wrapped on Fuzzy del Pezzo Surfaces
Kazuyuki Furuuchi, Kazumi Okuyama
TL;DR
This paper constructs classical solutions in quiver gauge theories representing D4-branes wrapped on fuzzy del Pezzo surfaces, exploring their spectra and potential applications to fuzzy F-theory.
Contribution
It introduces explicit fuzzy del Pezzo surface solutions in quiver gauge theories and analyzes their fluctuation spectra, advancing the understanding of fuzzy geometries in string theory.
Findings
Explicit fuzzy del Pezzo solutions in quiver gauge theories
Detailed fluctuation spectrum analysis of fuzzy CP^2
Discussion on applications to fuzzy F-theory
Abstract
We construct classical solutions in quiver gauge theories on D0-branes probing toric del Pezzo singularities in Calabi-Yau manifolds. Our solutions represent D4-branes wrapped around fuzzy del Pezzo surfaces. We study the fluctuation spectrum around the fuzzy CP^2 solution in detail. We also comment on possible applications of our fuzzy del Pezzo surfaces to the fuzzy version of F-theory, dubbed F(uzz) theory.
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