Anomalies as curvature in complex geometry

M. J. Bowick; S. G. Rajeev

doi:10.1016/0550-3213(88)90408-7

Anomalies as curvature in complex geometry

M. J. Bowick, S. G. Rajeev

Department of Physics

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24 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	1007-1033
Number of pages	27
Journal	Nuclear Physics, Section B
Volume	296
Issue number	4
DOIs	https://doi.org/10.1016/0550-3213(88)90408-7
State	Published - Jan 25 1988

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(88)90408-7

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N2 - 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.

AB - 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.

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Anomalies as curvature in complex geometry

Abstract

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