Mastering the Master Space

Details Mastering the Master Space Mastering the Master Space

2008-01-22

arxiv.org/abs/0801.3477v1

Lett.Math.Phys.85:163-171,2008

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 1 Figure

Scientific paper

10.1007/s11005-008-0255-6

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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