3 papers
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…
math.OA2024
Crossing symmetry and the crossing map
Ricardo Correa da Silva, Luca Giorgetti, Gandalf Lechner
We introduce and study the crossing map, a closed linear map acting on operators on the tensor square of a given Hilbert space that is inspired by the crossing property of quantum…