382 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Kyoto UniversityJP369 papers
- The University of TokyoJP33 papers
- Korea Institute for Advanced StudyKR13 papers
- The University of OsakaJP12 papers
- Centre National de la Recherche ScientifiqueFR10 papers
- Nagoya UniversityJP10 papers
- Seoul National UniversityKR10 papers
- Yukawa Institute for Theoretical PhysicsJP10 papers
- Fujian Normal UniversityCN8 papers
- Kavli Institute for the Physics and Mathematics of the UniverseJP8 papers
- National Research University Higher School of EconomicsRU8 papers
- Hiroshima UniversityJP7 papers
87 papers · 1 filter
Logarithmic W-algebras and Argyres-Douglas theories at higher rank
Thomas Creutzig
Families of vertex algebras associated to nilpotent elements of simply-laced Lie algebras are constructed. These algebras are close cousins of logarithmic W-algebras of Feigin and…
Cosets, characters and fusion for admissible-level minimal models
Thomas Creutzig, Shashank Kanade, Tianshu Liu +1
We study the minimal models associated to , otherwise known as the fractional-level Wess-Zumino-Witten models of . Since these…
Fundamental Vortices, Wall-Crossing, and Particle-Vortex Duality
Chiung Hwang, Piljin Yi, Yutaka Yoshida
We explore 1d vortex dynamics of 3d supersymmetric Yang-Mills theories, as inferred from factorization of exact partition functions. Under Seiberg-like dualities, the 3d partition…
Twisted Elliptic Genera of N=2 SCFTs in Two Dimensions
Toshiya Kawai
The elliptic genera of two-dimensional N=2 superconformal field theories can be twisted by the action of the integral Heisenberg group if their U(1) charges are fractional. The bas…
Abelian Vortices on Nodal and Cuspidal Curves
Toshiya Kawai
We compute the Euler characteristics of the moduli spaces of abelian vortices on curves with nodal and cuspidal singularities. This generalizes our previous work where only nodes w…
Question on the Existence of Gravitational Anomalies
Mitsuo Abe, Noboru Nakanishi
The existence of gravitational anomalies claimed by Alvarez-Gaume and Witten is examined critically. It is pointed out that they were unaware of the essential difference between T-…
Asymptotic Form of Gopakumar-Vafa Invariants from Instanton Counting
Yukiko Konishi, Kazuhiro Sakai
We study the asymptotic form of the Gopakumar-Vafa invariants at all genera for Calabi-Yau toric threefolds which have the structure of fibration of the A_n singularity over P^1. W…
Exact Solutions to the Two-dimensional BF and Yang-Mills Theories in the Light-cone Gauge
Mitsuo Abe, Noboru Nakanishi
It is shown that the BRS-formulated two-dimensional BF theory in the light-cone gauge (coupled with chiral Dirac fields) is solved very easily in the Heisenberg picture. The struct…
Pseudo Cuntz Algebra and Recursive FP Ghost System in String Theory
Mitsuo Abe, Katsunori Kawamura
Representation of the algebra of FP (anti)ghosts in string theory is studied by generalizing the recursive fermion system in the Cuntz algebra constructed previously. For that purp…
String Partition Functions and Infinite Products
Toshiya Kawai, Kota Yoshioka
We continue to explore the conjectural expressions of the Gromov-Witten potentials for a class of elliptically and K3 fibered Calabi-Yau 3-folds in the limit where the base P^1 of…
Ground State of the Quantum Symmetric Finite Size XXZ Spin Chain with Anisotropy Parameter
V. Fridkin, Yu. Stroganov, D. Zagier
We find an analytic solution of the Bethe Ansatz equations (BAE) for the special case of a finite XXZ spin chain with free boundary conditions and with a complex surface field whic…
Renormalization using Domain Wall Regularization
Shoichi Ichinose
We formulate the renormalization procedure using the domain wall regularization that is based on the heat-kernel method. The quantum effects of both fermions and bosons (gauge fiel…
Direct Derivation of Scaling Relation of Prepotential in N=2 Supersymmetric G_2 Yang-Mills Theory
Yuji Ohta
In contrast with the classical gauge group cases, any method to prove exactly the scaling relation which relates moduli and prepotential is not known in the case of exceptional gau…
Instanton Correction of Prepotential in Ruijsenaars Model Associated with N=2 SU(2) Seiberg-Witten Theory
Yuji Ohta
Instanton correction of prepotential of one-dimensional SL(2) Ruijsenaars model is presented with the help of Picard-Fuchs equation of Pakuliak-Perelomov type. It is shown that the…
Picard-Fuchs Equations and Whitham Hierarchy in N=2 Supersymmetric SU(r+1) Yang-Mills Theory
Yuji Ohta
In general, Whitham dynamics involves infinitely many parameters called Whitham times, but in the context of N=2 supersymmetric Yang-Mills theory it can be regarded as a finite sys…
One-Instanton Prepotentials from WDVV equations in N=2 Supersymmetric SU(4) Yang-Mills Theory
Yuji Ohta
Prepotentials in N=2 supersymmetric Yang-Mills theories are known to obey non-linear partial differential equations called Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations. In t…
Dual WDVV Equations in N=2 Supersymmetric Yang-Mills Theory
Yuji Ohta
This paper studies the dual form of Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations in N=2 supersymmetric Yang-Mills theory by applying a duality transformation to WDVV equatio…
Perturbative or Path-Integral Approach versus Operator-Formalism Approach
Mitsuo Abe, Noboru Nakanishi
In the conformal-gauge two-dimensional quantum gravity, the solution obtained by the perturbative or path-integral approach is compared with the one obtained by the operator-formal…
Non-perturbative Solutions to N=2 Supersymmetric Yang-Mills Theories -Progress and Perspective-
Yuji Ohta
This note reviews the progress on the low energy dynamics of N=2 supersymmetric Yang-Mills theories after the works of Seiberg and Witten. Specifically, the theory of prepotential…
Picard-Fuchs Ordinary Differential Systems in N=2 Supersymmetric Yang-Mills Theories
Yuji Ohta
In general, Picard-Fuchs systems in N=2 supersymmetric Yang-Mills theories are realized as a set of simultaneous partial differential equations. However, if the QCD scale parameter…
Weyl Anomaly in Higher Dimensions and Feynman Rules in Coordinate Space
Shoichi Ichinose, Noriaki Ikeda
An algorithm to obtain the Weyl anomaly in higher dimensions is presented. It is based on the heat-kernel method. Feynman rules, such as the vertex rule and the propagator rule, ar…
Differential Equations for Scaling Relation in N=2 Supersymmetric SU(2) Yang-Mills Theory Coupled with Massive Hypermultiplet
Yuji Ohta
Differential equations for scaling relation of prepotential in N=2 supersymmetric SU(2) Yang-Mills theory coupled with massive matter hypermultiplet are proposed and are explicitly…
Construction of an Identically Nilpotent BRS Charge in the Kato-Ogawa String Theory
Mitsuo Abe, Noboru Nakanishi
In previous work, the conformal-gauge two-dimensional quantum gravity in the BRS formalism has been solved completely in terms of Wightman functions. In the present paper, this res…
How to Solve Quantum Nonlinear Abelian Gauge Theory in Two Dimension in the Heisenberg Picture
Noriaki Ikeda
The new method based on the operator formalism proposed by Abe and Nakanishi is applied to the quantum nonlinear abelian gauge theory in two dimension. The soluble models in this m…