5 papers
Ground state representations of loop algebras
Yoh Tanimoto
Let g be a simple Lie algebra, Lg be the loop algebra of g. Fixing a point in S^1 and identifying the real line with the punctured circle, we consider the subalgebra Sg of Lg of ra…
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…
Non-unitary Wightman CFTs and non-unitary vertex algebras
Sebastiano Carpi, Christopher Raymond, Yoh Tanimoto +1
We give an equivalence of categories between: (i) Möbius vertex algebras which are equipped with a choice of generating family of quasiprimary vectors, and (ii) (not-necessarily-u…
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…
Osterwalder-Schrader axioms for unitary full vertex operator algebras
Maria Stella Adamo, Yuto Moriwaki, Yoh Tanimoto
Full Vertex Operator Algebras (full VOA) are extensions of two commuting Vertex Operator Algebras, introduced to formulate compact two-dimensional conformal field theory. We define…