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Mastering the Master Space

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arxiv 0801.3477 v1 pith:GTYC23PH submitted 2008-01-22 hep-th

classification hep-th
keywords spacemasterphysicaltheoriesarxivbranebranescalabi-yau
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Supersymmetric gauge theories have an important but perhaps under-appreciated notion of a master space, which controls the full moduli space. For world-volume theories of D-branes probing a Calabi-Yau singularity X the situation is particularly illustrative. In the case of one physical brane, the master space F is the space of F-terms and a particular quotient thereof is X itself. We study various properties of F which encode such physical quantities as Higgsing, BPS spectra, hidden global symmetries, etc. Using the plethystic program we also discuss what happens at higher number N of branes. This letter is a summary and some extensions of the key points of a longer companion paper arXiv:0801.1585.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Vacuum Geometry of the Standard Model

    hep-th 2025-06 conditional novelty 7.0 of 10

    The vacuum moduli space of the MSSM is shown to consist of three rational components of dimensions 1, 15, and 29 via Gröbner basis computations.

  2. Quiver-Invariant Dualities between Brane Tilings

    hep-th 2026-01 conditional novelty 6.0 of 10

    A tilting mutation of brane tilings yields distinct superpotentials on the same quiver with identical mesonic moduli space, equivalent to a sequence of Seiberg dualities.

  3. Birational Transformations and 2d (0,2) Quiver Gauge Theories beyond Toric Fano 3-folds

    hep-th 2025-02 conditional novelty 5.0 of 10

    Mass deformations of 2d (0,2) brane brick models are shown in four explicit examples to implement birational transformations of toric Calabi-Yau 4-folds, including non-reflexive toric diagrams.

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