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Conformal field theory and elliptic cohomology

Authors
Journal
Advances in Mathematics
0001-8708
Publisher
Elsevier
Publication Date
Volume
189
Issue
2
Identifiers
DOI: 10.1016/j.aim.2003.11.012
Keywords
  • Elliptic Cohomology
  • Conformal Field Theory
  • Vertex Operator Algebra
  • Monstrous Moonshine
Disciplines
  • Mathematics

Abstract

Abstract In this paper, we use conformal field theory to construct a generalized cohomology theory which has some properties of elliptic cohomology theory which was some properties of elliptic cohomology. A part of our presentation is a rigorous definition of conformal field theory following Segal's axioms, and some examples, such as lattice theories associated with a unimodular even lattice. We also include certain examples and formulate conjectures on modular forms and Monstrous Moonshine related to the present work.

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