D4-D0 Branes on the Quintic

2005/09/22 by Davide Gaiotto, Gaiotto, Davide, Monica Guica +9 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0509168

18 pages

arxiv created 2005/09/22 · openalex publication_date 2005/09/22 · arxiv updated 2016/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is proposed that the quantum mechanics of N D4-branes and M D0-branes on the quintic is described by the dimensional reduction of a certain U(N)xU(M) quiver gauge theory, whose superpotential encodes the defining quintic polynomial. It is shown that the moduli space on the Higgs branch exactly reproduces the moduli space of degree N hypersurfaces in the quintic endowed with the appropriate line bundle, and that the cohomology growth reproduces the D4-D0 black hole entropy.

Cited by

• Azumaya-type noncommutative spaces and morphisms therefrom: Polchinski's D-branes in string theory from Grothendieck's viewpoint
• Quantum attractor flows

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