21 citations
4 papers
On Kazama-Suzuki Duality between and Superconformal Vertex Algebra
Dražen Adamović, Ana Kontrec
We classify all possible occurrences of Kazama-Suzuki duality between the superconformal algebra and the subregular -algebra $\mathcal{W}_{k}(\math…
On Hastings factorization for quantum many-body systems in the infinite volume setting
Ayumi Ukai
We will give self-contained and detailed proofs of the (multidimensional) Hastings factorization as well as a (1-dimensional) area law in a wider setup than previous works. Especia…
Systematic Orbifold Constructions of Schellekens' Vertex Operator Algebras from Niemeier Lattices
Gerald Höhn, Sven Möller
We present a systematic, rigorous construction of all 70 strongly rational, holomorphic vertex operator algebras of central charge 24 with non-zero weight-one space as cy…
Arithmetic of abelian varieties with constrained torsion
Christopher Rasmussen, Akio Tamagawa
Let be a number field. We present several new finiteness results for isomorphism classes of abelian varieties over whose -power torsion fields are arithmetically cons…