Gluing Branes, I

Details Gluing Branes, I Gluing Branes, I

2011-04-13

arxiv.org/abs/1104.2610v1

Physics

High Energy Physics

High Energy Physics - Theory

50p, LaTeX

Scientific paper

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, address an apparent discrepancy between the field theory and ALE descriptions, and propose a numerical approach for approximating the hermitian-Einstein metric of the Higgs bundle using balanced metrics.

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