69 citations · 197 across the 13 of their papers we have counts for
13 papers
Localization and Abelianization of Strings on Group Manifolds: The Non-simply Connected Case
Yongchao Lü
We study the partition functions of Wess--Zumino--Witten (WZW) models with compact connected simple Lie group manifolds that are not simply connected. Starting from the modular-inv…
Localization and Abelianization of Strings on Group Manifolds: The Simply Connected Case
Yongchao Lü
We study the localization formula for the partition function of the Wess--Zumino--Witten (WZW) model on the torus for compact, connected, and simply connected simple Lie groups. We…
Macdonald Identities and Exact Formulas for Superconformal Indices in Super Yang-Mills Theories
Yongchao Lü
We present exact evaluations of superconformal indices for 4d N =1 and N =2 pure Super Yang-Mills theories with arbitrary simple gauge group G. Our approach applies the Macdonald i…
Classical and quantum curves of 5d Seiberg's theories and their 4d limit
Oleg Chalykh, Yongchao Lü
In this work, we examine the classical and quantum Seiberg-Witten curves of 5d N = 1 SCFTs and their 4d limits. The 5d theories we consider are Seiberg's theories of type $E_{6,7,8…
Complex crystallographic reflection groups and Seiberg-Witten integrable systems: rank 1 case
Philip C. Argyres, Oleg Chalykh, Yongchao Lü
We consider generalisations of the elliptic Calogero--Moser systems associated to complex crystallographic groups in accordance to [1]. In our previous work [2], we proposed these…
D-type Minimal Conformal Matter: Quantum Curves, Elliptic Garnier Systems, and the 5d Descendants
Jin Chen, Yongchao Lü, Xin Wang
We study the quantization of the 6d Seiberg-Witten curve for D-type minimal conformal matter theories compactified on a two-torus. The quantized 6d curve turns out to be a differen…
Inozemtsev System as Seiberg-Witten Integrable system
Philip Argyres, Oleg Chalykh, Yongchao Lü
In this work we establish that the Inozemtsev system is the Seiberg-Witten integrable system encoding the Coulomb branch physics of 4d USp(2N) gauge theory with fou…
Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated
Philip C. Argyres, Yongchao Lü, Mario Martone
Coulomb branch chiral rings of SCFTs are conjectured to be freely generated. While no counter-example is known, no direct evidence for the conjecture is known either…
Geometric constraints on the space of N=2 SCFTs III: enhanced Coulomb branches and central charges
Philp Argyres, Matteo Lotito, Yongchao Lü +1
This is the third in a series of three papers on the systematic analysis of rank 1 four dimensional SCFTs. In the first two papers we developed and carried out a st…
Expanding the landscape of =2 rank 1 SCFTs
Philip C. Argyres, Matteo Lotito, Yongchao Lü +1
We refine our previous proposal for systematically classifying 4d rank-1 SCFTs by constructing their possible Coulomb branch geometries. Four new recently discussed…
Geometric constraints on the space of N=2 SCFTs II: Construction of special Kähler geometries and RG flows
Philip C. Argyres, Matteo Lotito, Yongchao Lü +1
This is the second in a series of three papers on systematic analysis of rank 1 Coulomb branch geometries of four dimensional =2 SCFTs. In the first paper we developed…
On the classification of planar rank-1 d=4 N=2 superconformal field theories
Yongchao Lü
We describe an approach to classifying four-dimensional conformal field theories with N=2 supersymmetry and a Coulomb branch of vacua with the topology of the complex plane. We als…
Geometric constraints on the space of N=2 SCFTs I: physical constraints on relevant deformations
Philip Argyres, Matteo Lotito, Yongchao Lü +1
We initiate a systematic study of four dimensional superconformal field theories (SCFTs) based on the analysis of their Coulomb branch geometries. Because these SCF…