Anomalies as curvature in complex geometry

M. J. Bowick, S. G. Rajeev

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


We study two-dimensional bosonic and fermionic field theories in the language of infinite-dimensional complex geometry. We show that all local ("perturbative") anomalies canbe interpreted as curvature of a Fock bundle over the space of complex structures. We discuss the example of the gauge anomaly of a chiral fermion in detail. A method to compute the curvature of a homogeneous hermitian holomorphic vector bundle is developed in the appendix.

Original languageEnglish (US)
Pages (from-to)1007-1033
Number of pages27
JournalNuclear Physics, Section B
Issue number4
StatePublished - Jan 25 1988

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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