Letters in Mathematical Physics

, Volume 85, Issue 2, pp 163–171

Mastering the Master Space


    • International School for Advanced Studies (SISSA/ISAS) and INFN-Sezione di Trieste
    • PH-TH DivisionCERN, 1211
  • Amihay Hanany
    • Department of PhysicsTechnion, Israel Institute of Technology
    • Theoretical Physics Group, Blackett LaboratoryImperial College
  • Yang-Hui he
    • Merton College
    • Mathematical Institute
    • Rudolf Peierls Centre for Theoretical PhysicsUniversity of Oxford
  • Alberto Zaffaroni
    • Università di Milano-Bicocca and INFNsezione di Milano-Bicocca

DOI: 10.1007/s11005-008-0255-6

Cite this article as:
Forcella, D., Hanany, A., he, Y. et al. Lett Math Phys (2008) 85: 163. doi: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 \({\mathcal X}\) 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.

Mathematics Subject Classification (2000)



supersymmetric gauge theory D-branesplethysticsglobal symmetriescounting gauge invariants
Download to read the full article text

Copyright information

© Springer 2008