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2d Supersymmetric Gauge Theories, D-Branes and Trialities

In: Nankai Symposium on Mathematical Dialogues

Author

Listed:
  • Sebastián Franco

    (The City College of the CUNY, Physics Department
    The Graduate School and University Center, The City University of New York, Physics Program and Initiative for the Theoretical Sciences)

Abstract

Engineering quantum field theories in String Theory in terms of branes is a powerful approach for understanding their dynamics. We review recent progress in the realization of 2d $$\mathcal {N}=(0,2)$$ N = ( 0 , 2 ) gauge theories in terms of branes. We discuss Brane Brick Models, a new class of Type IIA brane configurations which are T-dual to D1-branes over singular toric Calabi-Yau 4-folds. They fully encode the infinite class of 2d $$\mathcal {N}=(0,2)$$ N = ( 0 , 2 ) quiver gauge theories on the worldvolume of the D1-branes and significantly streamline their connection to the probed geometries. As an application, we explain how these constructions provide a brane realization of triality. We also comment on the realization of 2d $$\mathcal {N}=(0,1)$$ N = ( 0 , 1 ) theories via Spin(7) orientifolds. This note is based on the author’s talk at the Nankai Symposium on Mathematical Dialogues celebrating the 110th anniversary of the birth of Prof. S.-S. Chern.

Suggested Citation

  • Sebastián Franco, 2026. "2d Supersymmetric Gauge Theories, D-Branes and Trialities," Springer Books, in: Yang-Hui He & Mo-Lin Ge & Cheng-Ming Bai & Jiakang Bao & Edward Hirst (ed.), Nankai Symposium on Mathematical Dialogues, pages 157-162, Springer.
    • Handle: RePEc:spr:sprchp:978-981-19-2328-9_17
    DOI: 10.1007/978-981-19-2328-9_17
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