Generalized Einstein operator generating functions

We present gauge invariant, self-adjoint Einstein operators for mixed symmetry higher spin theories. The result applies to multi-forms, multi-symmetric forms and mixed antisymmetric and symmetric multi-forms, generalizing previous results for combinations of these cases. It also yields explicit acti...

Full description

Saved in:
Bibliographic Details
Published inPhysics letters. B Vol. 682; no. 4-5; pp. 472 - 475
Main Authors Cherney, D., Latini, E., Waldron, A.
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier B.V 04.01.2010
Elsevier
Subjects
Exact sciences and technology
Nuclear physics
Physics
The physics of elementary particles and fields
Gauge invariance
Action principle
Generating function
Equations of motion
Self adjoint operator
Online AccessGet full text

Cover

More Information
Summary:We present gauge invariant, self-adjoint Einstein operators for mixed symmetry higher spin theories. The result applies to multi-forms, multi-symmetric forms and mixed antisymmetric and symmetric multi-forms, generalizing previous results for combinations of these cases. It also yields explicit action principles for these theories in terms of their minimal covariant field content. For known cases, these actions imply the mixed symmetry equations of motion of Labastida. The result is based on a calculus for handling normal ordered operator expressions built from quantum generators of the underlying constraint algebras.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2009.11.047