301 citations · 2.5k across the 60 of their papers we have counts for
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math.OA2003★ 48 cited
Solitons in Affine and Permutation Orbifolds
Victor G. Kac, Roberto Longo, Feng Xu
We consider properties of solitons in general orbifolds in the algebraic quantum field theory framework and constructions of solitons in affine and permutation orbifolds. Under gen…
math.OA2003★ 72 cited
Topological Sectors and a Dichotomy in Conformal Field Theory
Roberto Longo, Feng Xu
Let A be a local conformal net of factors on the circle with the split property. We provide a topological construction of soliton representations of the tensor product of n copies…
math-ph2003★ 65 cited
Classification of Two-dimensional Local Conformal Nets with c<1 and 2-cohomology Vanishing for Tensor Categories
Yasuyuki Kawahigashi, Roberto Longo
We classify two-dimensional local conformal nets with parity symmetry and central charge less than 1, up to isomorphism. The maximal ones are in a bijective correspondence with the…