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Interactions of chiral two-forms

1999/11/15 by Xavier Bekaert, Bekaert, Xavier · 1 citation
Chemistry · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Molecular spectroscopy and chirality #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9911109

6 pages. References added. Modified presentation. Talk given at the TMR-meeting `Quantum aspects of gauge theories, supersymmetry and unification', ENS (Paris), September 1-7, 1999 and at the `9th Midwest Geometry Conference', Univ. of Missouri (Columbia), November 5-7, 1999. From joint work with M. Henneaux and A. Sevrin

openalex publication_date 1999/11/15 · arxiv created 1999/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Two issues regarding the interactions of the chiral two-forms are reviewed. First, the problem of constructing Lorentz-invariant self-couplings of a single chiral two-form is investigated in the light of the Dirac-Schwinger condition on the energy-momentum tensor commutation relations. We show how the Perry-Schwarz condition follows from the Dirac-Schwinger criterion and point out that consistency of the gravitational coupling is automatic. Secondly, we study the possible local deformations of chiral two-forms. This problem reduces to the study of the local BRST cohomological group at ghost number zero. We proof that the only consistent deformations of a system of free chiral two-forms are (up to redefinitions) deformations that do not modify the abelian gauge symmetries of the free theory. The consequence of this result for a system consisting of a number of parallel M5-branes is explained.

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