3 citations · 3 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
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…
Separable algebras in multitensor C-categories are unitarizable
Luca Giorgetti, Wei Yuan, XuRui Zhao
Recently, S. Carpi et al. (Comm. Math. Phys., 402:169-212, 2023) proved that every connected (i.e. haploid) Frobenius algebra in a tensor C-category is unitarizable (i.e. isomo…