Global vertex operators on Riemann surfaces

DOI10.1007/BF02099421zbMath0819.17019MaRDI QIDQ1338877

Yong-Chang Zhu

Publication date: 31 August 1995

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

higher genus Riemann surfacesglobal vertex operatorsspaces of vacua

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Lie algebras of vector fields and related (super) algebras (17B66) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (16)

Intertwining operators and fusion rules for vertex operator algebras arising from symplectic fermions ⋮ Conformal field theories associated to regular chiral vertex operator algebras. I: Theories over the projective line ⋮ Virasoro correlation functions on hyperelliptic Riemann surfaces ⋮ Free bosonic vertex operator algebras on genus two Riemann surfaces. I ⋮ Logarithmic intertwining operators and the space of conformal blocks over the projective line ⋮ A proof of the fusion rules theorem ⋮ Convergence of sewing conformal blocks ⋮ Geometric positivity of the fusion products of unitary vertex operator algebra modules ⋮ Lattices, vertex algebras, and modular categories ⋮ Genus two partition and correlation functions for fermionic vertex operator superalgebras. I. ⋮ Modular invariance of characters of vertex operator algebras ⋮ Current algebra on the torus ⋮ Conformal blocks from vertex algebras and their connections on \(\overline{\mathcal{M}}_{g,n}\) ⋮ RIEMANN SURFACES AND VERTEX OPERATOR ALGEBRAS ⋮ Chiral homology of elliptic curves and the Zhu algebra ⋮ Convergence in conformal field theory

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