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Mastering the Master Space

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Abstract

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.

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Authors and Affiliations

  1. International School for Advanced Studies (SISSA/ISAS) and INFN-Sezione di Trieste, via Beirut 2, 34014, Trieste, Italy

    Davide Forcella

  2. PH-TH Division, CERN, 1211, Geneva 23, Switzerland

    Davide Forcella

  3. Department of Physics, Technion, Israel Institute of Technology, Haifa, 32000, Israel

    Amihay Hanany

  4. Theoretical Physics Group, Blackett Laboratory, Imperial College, London, SW7 2AZ, UK

    Amihay Hanany

  5. Merton College, Oxford, OX1 4JD, UK

    Yang-Hui he

  6. Mathematical Institute, 24-29, St. Giles’, Oxford, OX1 3LB, UK

    Yang-Hui he

  7. Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford, OX1 3NP, UK

    Yang-Hui he

  8. Università di Milano-Bicocca and INFN, sezione di Milano-Bicocca, Piazza della Scienza, 3, 20126, Milano, Italy

    Alberto Zaffaroni

Authors
  1. Davide Forcella
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  2. Amihay Hanany
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  3. Yang-Hui he
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  4. Alberto Zaffaroni
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Corresponding author

Correspondence to Davide Forcella.

Additional information

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.

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Forcella, D., Hanany, A., he, YH. et al. Mastering the Master Space. Lett Math Phys 85, 163–171 (2008). https://doi.org/10.1007/s11005-008-0255-6

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  • DOI: https://doi.org/10.1007/s11005-008-0255-6

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