output
19912020
most citedTopological Lattice Models in Four Dimensions

382 citations

Showing 2016 · math.RTShow all

7 papers · 2 filters

math.RT2016★ 8 cited

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…

math.RT2016★ 1 cited

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…

math.RT2016★ 36 cited

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 .…

math.RT2016★ 35 cited

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…

math.RT2016★ 35 cited

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 $\…

math.RT2016★ 23 cited

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…

math.RT2016★ 194 cited

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…