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
7 papers · 2 filters
Modularity of Relatively Rational Vertex Algebras and Fusion Rules of Principal Affine W-Algebras
Tomoyuki Arakawa, Jethro van Ekeren
We study modularity of the characters of a vertex (super)algebra equipped with a family of conformal structures. Along the way we introduce the notions of rationality and cofiniten…
Quantizing Mishchenko-Fomenko subalgebras for centralizers via affine W-algebras
Tomoyuki Arakawa, Alexander Premet
We use affine W-algebras to quantize Mishchenko-Fomenko subalgebras for centralizers of nilpotent elements in simple Lie algebras under certain assumptions that are satisfied for a…
Orbifolds and cosets of minimal -algebras
Tomoyuki Arakawa, Thomas Creutzig, Kazuya Kawasetsu +1
Let be a simple, finite-dimensional Lie (super)algebra equipped with an embedding of inducing the minimal gradation on .…
Quantized Coulomb branches of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras
Ryosuke Kodera, Hiraku Nakajima
We study quantized Coulomb branches of quiver gauge theories of Jordan type. We prove that the quantized Coulomb branch is isomorphic to the spherical graded Cherednik algebra in t…
Screening operators for W-algebras
Naoki Genra
Let be a simple finite-dimensional Lie superalgebra with a non-degenerate supersymmetric even invariant bilinear form, a nilpotent element in the even part of $\…
Weight representations of admissible affine vertex algebras
Tomoyuki Arakawa, Vyacheslav Futorny, Luis Enrique Ramirez
For an admissible affine vertex algebra of type , we describe a new family of relaxed highest weight representations of . They are simple…
Towards a mathematical definition of Coulomb branches of -dimensional gauge theories, II
Alexander Braverman, Michael Finkelberg, Hiraku Nakajima
Consider the -dimensional supersymmetric gauge theory associated with a compact Lie group and its quaternionic representation . Physicists study…