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Related papers: Mass Deformations of Brane Brick Models

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We extend the study of relevant deformations connecting 2d (0,2) gauge theories on D1-branes probing toric Calabi-Yau 4-folds beyond pure mass deformations. The underlying geometry provides powerful insights when field-theoretic tools are…

High Energy Physics - Theory · Physics 2025-10-08 Mario Carcamo , Sebastian Franco , Dongwook Ghim , Georgios P. Goulas , Rak-Kyeong Seong

We 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 $4d$ $\mathcal{N}=1$ gauge theories on D3-branes probing toric…

High Energy Physics - Theory · Physics 2017-07-14 Sebastian Franco , Sangmin Lee , Rak-Kyeong Seong

We discuss the realization of $2d$ $(0,2)$ gauge theories in terms of branes focusing on Brane Brick Models, which are T-dual to D1-branes probing toric Calabi-Yau 4-folds. These brane setups fully encode the infinite class of $2d$ $(0,2)$…

High Energy Physics - Theory · Physics 2024-02-13 Sebastián Franco

We show that a family of birational transformations that relate toric Fano 3-folds defined by reflexive lattice polytopes can be identified with mass deformations of corresponding 2d (0,2) supersymmetric quiver gauge theories. These…

High Energy Physics - Theory · Physics 2025-06-10 Dongwook Ghim , Minsung Kho , Rak-Kyeong Seong

We 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 Calabi-Yau 4-folds. They fully encode the infinite…

High Energy Physics - Theory · Physics 2016-02-16 Sebastian Franco , Sangmin Lee , Rak-Kyeong Seong

Brane brick models are Type IIA brane configurations that encode the $2d$ $\mathcal{N}=(0,2)$ gauge theories on the worldvolume of D1-branes probing toric Calabi-Yau 4-folds. We use mirror symmetry to improve our understanding of this…

High Energy Physics - Theory · Physics 2017-03-01 Sebastian Franco , Sangmin Lee , Rak-Kyeong Seong , Cumrun Vafa

We 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 4-fold singularity. We identify a match with the…

High Energy Physics - Theory · Physics 2017-07-14 Sebastian Franco , Dongwook Ghim , Sangmin Lee , Rak-Kyeong Seong

We argue that algebraic and combinatorial polytope mutations of Fano 3-folds can be identified with mass deformations of associated 2d (0,2) supersymmetric gauge theories realized by brane brick models. These are Type IIA brane…

High Energy Physics - Theory · Physics 2024-10-02 Dongwook Ghim , Minsung Kho , Rak-Kyeong Seong

We study renormalization group flows among N=1 SCFTs realized on the worldvolume of D3-branes probing toric Calabi-Yau singularities, thus admitting a brane tiling description. The flows are triggered by masses for adjoint or vector-like…

We initiate a systematic study of 2d (0,2) quiver gauge theories on the worldvolume of D1-branes probing singular toric Calabi-Yau 4-folds. We present an algorithm for efficiently calculating the classical mesonic moduli spaces of these…

High Energy Physics - Theory · Physics 2015-09-16 Sebastian Franco , Dongwook Ghim , Sangmin Lee , Rak-Kyeong Seong , Daisuke Yokoyama

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…

High Energy Physics - Theory · Physics 2016-05-09 Sebastian Franco , Sangmin Lee , Rak-Kyeong Seong

The 2d (0,2) supersymmetric gauge theories corresponding to the classes of Y^{p,k}(CP^1 x CP^1) and Y^{p,k}(CP^2) manifolds are identified. The complex cones over these Sasaki-Einstein 7-manifolds are non-compact toric Calabi-Yau 4-folds.…

High Energy Physics - Theory · Physics 2023-03-14 Sebastian Franco , Dongwook Ghim , Rak-Kyeong Seong

We study the interplay between mass deformations and unoriented projections of super-conformal quiver gauge theories resulting from D3-branes at (toric) Calabi-Yau singularities. We focus on simple orbifold cases…

High Energy Physics - Theory · Physics 2020-07-28 Massimo Bianchi , Davide Bufalini , Salvo Mancani , Fabio Riccioni

We present an explicit supersymmetric deformation of supergravity backgrounds describing D3-branes on Calabi-Yau cones. From the geometrical point of view, it corresponds to blowing up a 4-cycle in the Calabi-Yau and can be done…

High Energy Physics - Theory · Physics 2007-05-23 S. Benvenuti , M. Mahato , L. A. Pando Zayas , Y. Tachikawa

We introduce $3d$ printing, a new algorithm for generating $2d$ $\mathcal{N}=(0, 2)$ gauge theories on D1-branes probing singular toric Calabi-Yau 4-folds using $4d$ $\mathcal{N}=1$ gauge theories on D3-branes probing toric Calabi-Yau…

High Energy Physics - Theory · Physics 2018-06-13 Sebastian Franco , Azeem Hasan

We introduce and initiate the study of a general class of $2d$ $\mathcal{N}=(0,2)$ quiver gauge theories, defined in terms of certain 2-dimensional CW complexes on oriented 3-manifolds. We refer to this class of theories as…

High Energy Physics - Theory · Physics 2022-09-21 Sebastián Franco , Xingyang Yu

We develop tools for determining the gauge theory resulting from a configuration of Type IIB D3-branes probing a non-compact, toric Calabi-Yau 3-fold, in the presence of additional flavor D7-branes with general embeddings. Two main…

High Energy Physics - Theory · Physics 2015-06-16 Sebastian Franco , Angel Uranga

We introduce a class of 4-dimensional crystal melting models that count the BPS bound state of branes on toric Calabi-Yau 4-folds. The crystalline structure is determined by the brane brick model associated to the Calabi-Yau 4-fold under…

High Energy Physics - Theory · Physics 2023-11-09 Sebastián Franco

We review in a pedagogical manner some of the efforts aiming to extend the gauge/gravity correspondence to non-conformal supersymmetric gauge theories in four dimensions. After giving a general overview, we discuss in detail two specific…

High Energy Physics - Theory · Physics 2008-11-26 M. Bertolini

We consider $\mathcal{N} = 2$ superconformal gauge theories in four dimensions. We explain how these quiver gauge theories arise as low-energy worldvolume theories of D3-branes on orientifolds. Then, we examine their associated chiral…

High Energy Physics - Theory · Physics 2024-11-22 Jacob Abajian
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