Letters in Mathematical Physics

, Volume 85, Issue 2–3, pp 163–171 | Cite as

Mastering the Master Space

  • Davide Forcella
  • Amihay Hanany
  • Yang-Hui he
  • Alberto Zaffaroni


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)

81T60 81T30 


supersymmetric gauge theory D-branes plethystics global symmetries counting gauge invariants 


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Copyright information

© Springer 2008

Authors and Affiliations

  • Davide Forcella
    • 1
    • 2
  • Amihay Hanany
    • 3
    • 4
  • Yang-Hui he
    • 5
    • 6
    • 7
  • Alberto Zaffaroni
    • 8
  1. 1.International School for Advanced Studies (SISSA/ISAS) and INFN-Sezione di TriesteTriesteItaly
  2. 2.PH-TH DivisionCERN, 1211Geneva 23Switzerland
  3. 3.Department of PhysicsTechnion, Israel Institute of TechnologyHaifaIsrael
  4. 4.Theoretical Physics Group, Blackett LaboratoryImperial CollegeLondonUK
  5. 5.Merton CollegeOxfordUK
  6. 6.Mathematical InstituteOxfordUK
  7. 7.Rudolf Peierls Centre for Theoretical PhysicsUniversity of OxfordOxfordUK
  8. 8.Università di Milano-Bicocca and INFNsezione di Milano-BicoccaMilanoItaly

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