Mean field theory, topological field theory, and multi-matrix models

Robbert Dijkgraaf, Edward Witten

Research output: Contribution to journalArticlepeer-review

287 Scopus citations


We show that the genus zero correlation functions of an arbitrary topological field theory coupled to two-dimensional topological gravity are determined by an appropriate Landau-Ginzburg potential. We determine the potentials that arise for topological sigma models with CP1 or a Calabi-Yau manifold for target space. We present substantial evidence that the multi-matrix models that have been studied recently are equivalent to certain topological field theories coupled to topological gravity. We also describe a topological version of the general "string equation".

Original languageEnglish (US)
Pages (from-to)486-522
Number of pages37
JournalNuclear Physics, Section B
Issue number3
StatePublished - Oct 8 1990
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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