2d Supersymmetric Gauge Theories, D-Branes and Trialities

Sebastián Franco ()
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Sebastián Franco: The City College of the CUNY, Physics Department

A chapter in Nankai Symposium on Mathematical Dialogues, 2026, pp 157-162 from Springer

Abstract: 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.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-19-2328-9_17

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DOI: 10.1007/978-981-19-2328-9_17

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