63 citations · 392 across the 25 of their papers we have counts for
25 papers
Quasinormal Modes of C-metric from SCFTs
Yang Lei, Hongfei Shu, Kilar Zhang +1
We study the quasinormal modes (QNM) of the charged C-metric, which physically stands for a charged accelerating black hole, with the help of Nekrasov's partition function of 4d $\…
Spin- Rational -system
Jue Hou, Yunfeng Jiang, Rui-Dong Zhu
Bethe ansatz equations for spin- Heisenberg spin chain with are significantly more difficult to analyze than the spin- case, due to the presence of repeate…
ABCD of qq-characters
Satoshi Nawata, Kilar Zhang, Rui-Dong Zhu
The qq-characters are powerful tools to reveal symmetries and integrabilities of Seiberg-Witten theories. The goal of this paper is to provide analytic expressions of qq-characters…
Bethe-State Counting and the Witten Index
Hongfei Shu, Peng Zhao, Rui-Dong Zhu +1
We count the Bethe states of quantum integrable models with twisted boundary conditions using the Witten index of 2d supersymmetric gauge theories. For multi-component models solva…
Auslander theorem for PI Artin-Schelter regular algebras
Ruipeng Zhu
We prove a version of a theorem of Auslander for finite group actions or coactions on noetherian polynomial identity Artin-Schelter regular algebra.
Yoneda Ext-algebras of Takeuchi smash products
Quanshui Wu, Ruipeng Zhu
We prove that the Yoneda Ext-algebra of a Takeuchi smash product is the graded Takeuchi smash product of the Yoneda Ext-algebras of the two algebras or modules involved. As an appl…
A note on the discriminant of reflection Hopf algebras
Ruipeng Zhu
We provide a formula for commputing the discriminant of skew Calabi-Yau algebra over a central Calabi-Yau algebra. This method is applied to study the Jacobian and discriminant for…
Instanton counting and O-vertex
Satoshi Nawata, Rui-Dong Zhu
We present closed-form expressions of unrefined instanton partition functions for gauge groups of type as sums over Young diagrams. For gauge groups, we prov…
Derived equivalences for a class of PI algebras
Quanshui Wu, Ruipeng Zhu
A description of tilting complexes is given for a class of PI algebras whose prime spectrum is canonically homeomorphic to the prime spectrum of its center. Some Sklyanin algebras…
Some invariant subalgebras are graded isolated singularities
Ruipeng Zhu
In this note, we prove that the invariant subalgebra of the (-1)-skew polynomial algebra under a permutation action is a graded isolated singularity, and thus a conjecture of Chan-…
Bethe/Gauge Correspondence for SO/Sp Gauge Theories and Open Spin Chains
Taro Kimura, Rui-Dong Zhu
In this article, we extend the work of arXiv:0901.4744 to a Bethe/Gauge correspondence between 2d (or resp. 3d) SO/Sp gauge theories and open XXX (resp. XXZ) spin chains with diago…
More on topological vertex formalism for 5-brane webs with O5-plane
Hirotaka Hayashi, Rui-Dong Zhu
We propose a concrete form of a vertex function, which we call O-vertex, for the intersection between an O5-plane and a 5-brane in the topological vertex formalism, as an extension…
Impacts of COVID-19 control measures on tropospheric NO over China, South Korea and Italy
Jiaqi Chen, Zhe Jiang, Kazuyuki Miyazaki +6
Tropospheric nitrogen dioxide (NO) concentrations are strongly affected by anthropogenic activities. Using space-based measurements of tropospheric NO, here we investigate…
Closed form fermionic expressions for the Macdonald index
Omar Foda, Rui-Dong Zhu
We interpret aspects of the Schur indices, that were identified with characters of highest weight modules in Virasoro minimal models for , in terms o…
Testing Macdonald Index as a Refined Character of Chiral Algebra
Akimi Watanabe, Rui-Dong Zhu
We test in Argyres-Douglas theories with the proposal of Song's in arXiv:1612.08956 that the Macdonald index gives a refined character of…
Web Construction of ABCDEFG and Affine Quiver Gauge Theories
Taro Kimura, Rui-Dong Zhu
The topological vertex formalism for 5d gauge theories is not only a convenient tool to compute the instanton partition function of these theories, but it is also a…
On the Correspondence between Surface Operators in Argyres-Douglas Theories and Modules of Chiral Algebra
Takahiro Nishinaka, Shinya Sasa, Rui-Dong Zhu
We compute the Schur index of Argyres-Douglas theories of type with surface operators inserted, via the Higgsing prescription proposed by D. Gaiotto, L. Rastell…
An elliptic topological vertex
Omar Foda, Rui-Dong Zhu
We derive a one-parameter deformation of the refined topological vertex that, when used to compute non-periodic web diagrams, reproduces the six-dimensional topological string part…
An Elliptic Vertex of Awata-Feigin-Shiraishi type for M-strings
Rui-Dong Zhu
We write down a vertical representation for the elliptic Ding-Iohara-Miki algebra, and construct an elliptic version of the refined topological vertex of Awata, Feigin and Shiraish…
Reflection states in Ding-Iohara-Miki algebra and brane-web for D-type quiver
Jean-Emile Bourgine, Masayuki Fukuda, Yutaka Matsuo +1
Reflection states are introduced in the vertical and horizontal modules of the Ding-Iohara-Miki (DIM) algebra (quantum toroidal ). Webs of DIM representations are…
Maulik-Okounkov's R-matrix from Ding-Iohara-Miki algebra
Masayuki Fukuda, Koichi Harada, Yutaka Matsuo +1
The integrability of 4d gauge theories has been explored in various contexts, for example the Seiberg-Witten curve and its quantization. Recently, Maulik and Okounk…
(p,q)-webs of DIM representations, 5d N=1 instanton partition functions and qq-characters
Jean-Emile Bourgine, Masayuki Fukuda, Koichi Harada +2
Instanton partition functions of 5d Super Yang-Mills reduced on can be engineered in type IIB string theory from the -branes web diagram. To this diagr…
Coherent states in quantum algebra and qq-character for 5d Super Yang-Mills
Jean-Emile Bourgine, Masayuki Fukuda, Yutaka Matsuo +2
The instanton partition functions of 5d super Yang-Mills are built using elements of the representation theory of quantum algebra: Gaiotto…
SH Realization of Minimal Model CFT: Triality, Poset and Burge Condition
Masayuki Fukuda, Satoshi Nakamura, Yutaka Matsuo +1
Recently an orthogonal basis of -algebra (AFLT basis) labeled by -tuple Young diagrams was found in the context of 4D/2D duality. Recursion relations among the ba…