3 papers
math.QA2026
Algebra objects in direct limit completions of compact Lie group duals and the classification of vertex operator algebras
Sebastiano Carpi, Tiziano Gaudio, Luca Giorgetti
Let be a complex reductive affine algebraic group with its symmetric tensor category of finite-dimensional rational representations. We prove that every simple…
math.RT2025
Representations of conformal nets associated with infinite-dimensional groups
Maria Stella Adamo, Luca Giorgetti, Yoh Tanimoto
We study the relation between representations of certain infinite-dimensional Lie groups and those of the associated conformal nets. For a chiral conformal net extending the net ge…
math-ph2025
Rational and non-rational two-dimensional conformal field theories arising from lattices
Maria Stella Adamo, Luca Giorgetti, Yoh Tanimoto
For a (finite-dimensional) real Hilbert space and an orthogonal projection , we consider the associated Heisenberg Lie algebra and the two-dimensional Heisenberg c…