301 citations · 2.5k across the 60 of their papers we have counts for
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math.OA2004★ 52 cited
Local conformal nets arising from framed vertex operator algebras
Yasuyuki Kawahigashi, Roberto Longo
We apply an idea of framed vertex operator algebras to a construction of local conformal nets of (injective type III_1) factors on the circle corresponding to various lattice verte…
math-ph2004★ 66 cited
Local fields in boundary conformal QFT
Roberto Longo, Karl-Henning Rehren
Conformal field theory on the half-space x>0 of Minkowski space-time ("boundary CFT") is analyzed from an algebraic point of view, clarifying in particular the algebraic structure…
math-ph2004★ 30 cited
Noncommutative Spectral Invariants and Black Hole Entropy
Yasuyuki Kawahigashi, Roberto Longo
We consider an intrinsic entropy associated with a local conformal net A by the coefficients in the expansion of the logarithm of the trace of the ``heat kernel'' semigroup. In ana…