41 citations · 186 across the 21 of their papers we have counts for
21 papers
Orbi-Instantons and Class Theories of Type D
Jiakang Bao, Noppadol Mekareeya, Gabi Zafrir +1
We investigate the landscape of 6d D-type orbi-instanton superconformal field theories (SCFTs) and their torus compactifications to four-dimensional class $\mat…
Crystals and Double Quiver Algebras from Jeffrey-Kirwan Residues
Jiakang Bao, Masahito Yamazaki
We construct statistical mechanical models of crystal melting describing the flavoured Witten indices of supersymmetric quiver gauge theories. Our results can be…
Futaki Invariants and Reflexive Polygons
Jiakang Bao, Eugene Choi, Yang-Hui He +2
Futaki invariants of the classical moduli space of 4d N=1 supersymmetric gauge theories determine whether they have a conformal fixed point in the IR. We systematically compute the…
The Origin of Calabi-Yau Crystals in BPS States Counting
Jiakang Bao, Rak-Kyeong Seong, Masahito Yamazaki
We study the counting problem of BPS D-branes wrapping holomorphic cycles of a general toric Calabi-Yau manifold. We evaluate the Jeffrey-Kirwan residues for the flavoured Witten i…
More on Affine Dynkin Quiver Yangians
Jiakang Bao
We consider the quiver Yangians associated to general affine Dynkin diagrams. Although the quivers are generically not toric, the algebras have some similar structures. The odd ref…
A Survey of Toric Quivers and BPS Algebras
Jiakang Bao
In this note, we discuss some properties of the quiver BPS algebras. We consider how they would transform under different operations on the toric quivers, such as dualities and hig…
Quiver Yangians and -Algebras for Generalized Conifolds
Jiakang Bao
We focus on quiver Yangians for most generalized conifolds. We construct a coproduct of the quiver Yangian following the similar approach by Guay-Nakajima-Wendlandt. We also prove…
A Note on Quiver Yangians and -Matrices
Jiakang Bao
In this note, we study possible -matrix constructions in the context of quiver Yangians and Yang-Baxter algebras. For generalized conifolds, we also discuss the relati…
Machine Learning Algebraic Geometry for Physics
Jiakang Bao, Yang-Hui He, Elli Heyes +1
We review some recent applications of machine learning to algebraic geometry and physics. Since problems in algebraic geometry can typically be reformulated as mappings between ten…
Crystal Melting, BPS Quivers and Plethystics
Jiakang Bao, Yang-Hui He, Ali Zahabi
We study the refined and unrefined crystal/BPS partition functions of D6-D2-D0 brane bound states for all toric Calabi-Yau threefolds without compact 4-cycles and some non-toric ex…
Reflexions on Mahler: Dessins, Modularity and Gauge Theories
Jiakang Bao, Yang-Hui He, Ali Zahabi
We provide a unified framework of Mahler measure, dessins d'enfants, and gauge theory. With certain physically motivated Newton polynomials from reflexive polygons, the Mahler meas…
Polytopes and Machine Learning
Jiakang Bao, Yang-Hui He, Edward Hirst +3
We introduce machine learning methodology to the study of lattice polytopes. With supervised learning techniques, we predict standard properties such as volume, dual volume, reflex…
Some Open Questions in Quiver Gauge Theory
Jiakang Bao, Amihay Hanany, Yang-Hui He +1
Quivers, gauge theories and singular geometries are of great interest in both mathematics and physics. In this note, we collect a few open questions which have arisen in various re…
Mahler Measure for a Quiver Symphony
Jiakang Bao, Yang-Hui He, Ali Zahabi
Adopting the Mahler measure from number theory, we introduce it to toric quiver gauge theories, and study some of its salient features and physical implications. We propose that th…
Neurons on Amoebae
Jiakang Bao, Yang-Hui He, Edward Hirst
We apply methods of machine-learning, such as neural networks, manifold learning and image processing, in order to study 2-dimensional amoebae in algebraic geometry and string theo…
Hilbert Series, Machine Learning, and Applications to Physics
Jiakang Bao, Yang-Hui He, Edward Hirst +3
We describe how simple machine learning methods successfully predict geometric properties from Hilbert series (HS). Regressors predict embedding weights in projective space to ${\s…
Dessins d'Enfants, Seiberg-Witten Curves and Conformal Blocks
Jiakang Bao, Omar Foda, Yang-Hui He +4
We show how to map Grothendieck's dessins d'enfants to algebraic curves as Seiberg-Witten curves, then use the mirror map and the AGT map to obtain the corresponding 4d $\mathcal{N…
Chiral Rings, Futaki Invariants, Plethystics, and Groebner Bases
Jiakang Bao, Yang-Hui He, Yan Xiao
We study chiral rings of 4d supersymmetric gauge theories via the notion of K-stability. We show that when using Hilbert series to perform the computations of Futak…
Quiver Mutations, Seiberg Duality and Machine Learning
Jiakang Bao, Sebastián Franco, Yang-Hui He +3
We initiate the study of applications of machine learning to Seiberg duality, focusing on the case of quiver gauge theories, a problem also of interest in mathematics in the contex…
Quiver Gauge Theories: Beyond Reflexivity
Jiakang Bao, Grace Beaney Colverd, Yang-Hui He
Reflexive polygons have been extensively studied in a variety of contexts in mathematics and physics. We generalize this programme by looking at the 45 different lattice polygons w…
Lectures on the Calabi-Yau Landscape
Jiakang Bao, Yang-Hui He, Edward Hirst +1
In these lecture notes, we survey the landscape of Calabi-Yau threefolds, and the use of machine learning to explore it. We begin with the compact portion of the landscape, focusin…