, Volume 85, Issue 2-3, pp 163-171
Date: 24 Jul 2008

Mastering the Master Space

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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 \({\mathcal X}\) the situation is particularly illustrative. In the case of one physical brane, the master space \({\mathcal F^b}\) is the space of F-terms and a particular quotient thereof is \({\mathcal X}\) itself. We study various properties of \({\mathcal F^b}\) 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.

Davide Forcella was supported by CERN-PH-TH/2008-001; SISSA 02/2008/EP.
Amihay Hanany was supported by Imperial/TP/08/AH/02; NI08001.
Alberto Zaffaroni was supported by Bicocca-FT-08-03.