Brane brick models and 2d (0, 2) triality

  • Sebastián Franco
  • Sangmin Lee
  • Rak-Kyeong SeongEmail author
Open Access
Regular Article - Theoretical Physics


We provide a brane realization of 2d (0, 2) Gadde-Gukov-Putrov triality in terms of brane brick models. These are Type IIA brane configurations that are T-dual to D1-branes over singular toric Calabi-Yau 4-folds. Triality translates into a local transformation of brane brick models, whose simplest representative is a cube move. We present explicit examples and construct their triality networks. We also argue that the classical mesonic moduli space of brane brick model theories, which corresponds to the probed Calabi-Yau 4-fold, is invariant under triality. Finally, we discuss triality in terms of phase boundaries, which play a central role in connecting Calabi-Yau 4-folds to brane brick models.


Brane Dynamics in Gauge Theories D-branes Supersymmetric gauge theory 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2016

Authors and Affiliations

  • Sebastián Franco
    • 1
    • 2
  • Sangmin Lee
    • 3
    • 4
    • 5
    • 6
  • Rak-Kyeong Seong
    • 7
    Email author
  1. 1.Physics DepartmentThe City College of the CUNYNew YorkU.S.A.
  2. 2.The Graduate School and University CenterThe City University of New YorkNew YorkU.S.A.
  3. 3.Center for Theoretical PhysicsSeoul National UniversitySeoulKorea
  4. 4.Department of Physics and AstronomySeoul National UniversitySeoulKorea
  5. 5.College of Liberal StudiesSeoul National UniversitySeoulKorea
  6. 6.School of Natural SciencesInstitute for Advanced StudyPrincetonU.S.A.
  7. 7.School of PhysicsKorea Institute for Advanced StudySeoulKorea

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