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
16 papers · 1 filter
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…
Quenched large deviations for simple random walks on percolation models including long-range correlations
Noam Berger, Chiranjib Mukherjee, Kazuki Okamura
We prove a {\it{quenched}} large deviation principle (LDP) for a simple random walk on a supercritical percolation cluster (SRWPC) on (). The models under in…
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…
Constructing Q-Fano 3-folds à la Prokhorov & Reid
Tom Ducat
We generalise a construction by Prokhorov & Reid of two families of Q-Fano 3-folds of index 2 to obtain five more families of Q-Fano 3-folds; four of index 2 and one of index 3. Tw…
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 .…
Norms of vector functionals
M. Anoussis, N. Ozawa, I. G. Todorov
We examine the question of when, and how, the norm of a vector functional on an operator algebra can be controlled by the invariant subspace lattice of the algebra. We introduce a…
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…
Divisors computing the minimal log discrepancy on a smooth surface
Masayuki Kawakita
We study a divisor computing the minimal log discrepancy on a smooth surface. Such a divisor is obtained by a weighted blow-up. There exists an example of a pair such that any divi…
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…
Approximate Relational Hoare Logic for Continuous Random Samplings
Tetsuya Sato
Approximate relational Hoare logic (apRHL) is a logic for formal verification of the differential privacy of databases written in the programming language pWHILE. Strictly speaking…
Singularity Degree of the Positive Semidefinite Matrix Completion Problem
Shin-ichi Tanigawa
The singularity degree of a semidefinite programming problem is the smallest number of facial reduction steps to make the problem strictly feasible. We introduce two new graph para…
On the monodromies and the limit mixed Hodge structures of families of algebraic varieties
Takahiro Saito, Kiyoshi Takeuchi
We study the monodromies and the limit mixed Hodge structures of families of complete intersection varieties over a punctured disk in the complex plane. For this purpose, we expres…
Fibred Fibration Categories
Taichi Uemura
We introduce fibred type-theoretic fibration categories which are fibred categories between categorical models of Martin-Löf type theory. Fibred type-theoretic fibration categories…
A valuative criterion for uniform K-stability of -Fano varieties
Kento Fujita
We give a simple necessary and sufficient condition for uniform K-stability of -Fano varieties.
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…