Corpus ID: 235727342

BFT$_2$: a General Class of $2d$ $\mathcal{N}=(0,2)$ Theories, 3-Manifolds and Toric Geometry

@inproceedings{Franco2021BFT\_2AG,
  title={BFT\$\_2\$: a General Class of \$2d\$ \$\mathcal\{N\}=(0,2)\$ Theories, 3-Manifolds and Toric Geometry},
  author={Sebasti'an Franco and Xingyang Yu},
  year={2021}
}
We introduce and initiate the study of a general class of 2d N = (0, 2) quiver gauge theories, defined in terms of certain 2-dimensional CW complexes on oriented 3manifolds. We refer to this class of theories as BFT2’s. They are natural generalizations of Brane Brick Models, which capture the gauge theories on D1-branes probing toric CalabiYau 4-folds. The dynamics and triality of the gauge theories translates into simple transformation of the underlying CW complexes. We introduce various… 

References

SHOWING 1-10 OF 43 REFERENCES
Bipartite field theories: from D-brane probes to scattering amplitudes
A bstractWe introduce and initiate the investigation of a general class of 4d, $\mathcal{N}=1$ quiver gauge theories whose Lagrangian is defined by a bipartite graph on a Riemann surface, with or
Brane brick models in the mirror
A bstractBrane brick models are Type IIA brane configurations that encode the 2dN=02$$ \mathcal{N}=\left(0,2\right) $$ gauge theories on the worldvolume of D1-branes probing toric Calabi-Yau 4-folds.
Orbifold reduction and 2d (0,2) gauge theories
A bstractWe introduce Orbifold Reduction, a new method for generating 2d (0, 2) gauge theories associated to D1-branes probing singular toric Calabi-Yau 4-folds starting from 4dN=1$$ \mathcal{N}=1 $$
THE MASTER SPACE OF N=1 GAUGE THEORIES
The full moduli space M of a class of N=1 supersymmetric gauge theories is studied. For gauge theories living on a stack of D3-branes at Calabi-Yau singularities X, M is a combination of the mesonic
2d (0,2) quiver gauge theories and D-branes
A bstractWe initiate a systematic study of 2d (0, 2) quiver gauge theories on the world-volume of D1-branes probing singular toric Calabi-Yau 4-folds. We present an algorithm for efficiently
Elliptic genera of 2d (0,2) gauge theories from brane brick models
A bstractWe compute the elliptic genus of abelian 2d (0, 2) gauge theories corresponding to brane brick models. These theories are worldvolume theories on a single D1-brane probing a toric Calabi-Yau
New directions in bipartite field theories
A bstractWe perform a detailed investigation of Bipartite Field Theories (BFTs), a general class of 4d $ \mathcal{N} $ = 1 gauge theories which are defined by bipartite graphs. This class of theories
Brane dimers and quiver gauge theories
We describe a technique which enables one to quickly compute an infinite number of toric geometries and their dual quiver gauge theories. The central object in this construction is a ``brane
String theory origin of bipartite SCFTs
A bstractWe provide a string theory embedding for $ \mathcal{N} $ = 1 superconformal field theories defined by bipartite graphs inscribed on a disk. We realize these theories by exploiting the close
Brane brick models, toric Calabi-Yau 4-folds and 2d (0,2) quivers
A bstractWe introduce brane brick models, a novel type of Type IIA brane configurations consisting of D4-branes ending on an NS5-brane. Brane brick models are T-dual to D1-branes over singular toric
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