Chiral bosonization, determinants and the string partition function

Erik Verlinde, Herman Verlinde

Research output: Contribution to journalArticlepeer-review

321 Scopus citations


We study the bosonization of chiral fermion theories on arbitrary compact Riemann surfaces. We express the fermionic and bosonic correlation functions in terms of theta functions and prove their equality. This is used to obtain explicit expressions for a class of chiral determinants relevant to string theory. The anomaly structure of these determinants and their behaviour on degenerate Riemann surfaces is analysed. We apply these results to multi-loop calculations of the bosonic string.

Original languageEnglish (US)
Pages (from-to)357-396
Number of pages40
JournalNuclear Physics, Section B
Issue numberC
StatePublished - 1987
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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