Jacobi identity for vertex algebras in higher dimensions

DOI10.1063/1.2197687zbMath1111.17014arXivmath-ph/0601012OpenAlexW1999762184MaRDI QIDQ3441837

Bojko Bakalov, Nikolay M. Nikolov

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0601012

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (11)

Twisted logarithmic modules of vertex algebras ⋮ -constraints for the total descendant potential of a simple singularity ⋮ Gauge symmetry and Howe duality in 4D conformal field theory models ⋮ Toroidal vertex algebras and their modules ⋮ Harmonic bilocal fields generated by globally conformal invariant scalar fields ⋮ Unitary positive-energy representations of scalar bilocal quantum fields ⋮ Conformal field theories with infinitely many conservation laws ⋮ Perturbative quantum field theory via vertex algebras ⋮ Semi-differential operators and the algebra of operator product expansion of quantum fields ⋮ INFINITE DIMENSIONAL LIE ALGEBRAS IN 4D CONFORMAL FIELD THEORY ⋮ Superconformal vertex algebras in four dimensions

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