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Gluing Branes, I

2011/04/13 by Ron Donagi, Donagi, Ron, Martijn Wijnholt +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Pulsars and Gravitational Waves Research #hep-th

paper · pdf · doi:10.48550/arxiv.1104.2610

V2: 55p, 1 fig, LaTeX. Published version

openalex publication_date 2011/04/13 · arxiv created 2013/12/26 · arxiv updated 2013/12/30 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

We consider several aspects of holomorphic brane configurations. We recently showed that an important part of the defining data of such a configuration is the gluing morphism, which specifies how the constituents of a configuration are glued together, but is usually assumed to be vanishing. Here we explain the rules for computing spectra and interactions for configurations with non-vanishing gluing VEVs. We further give a detailed discussion of the D-terms for Higgs bundles, spectral covers and ALE fibrations. We highlight a stability criterion that applies to degenerate configurations of the spectral data, and address an apparent discrepancy between the field theory and ALE descriptions. This allows us to show that one gets walls of marginal stability in F-theory even though they are absent in the 11d supergravity description. We also propose a numerical approach for approximating the hermitian-Einstein metric of the Higgs bundle using balanced metrics.

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