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On Conformal Invariants Built from Spinor Fields
Author(s) -
Gerlach Rita,
Wünsch Volkmar
Publication year - 2001
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200103)223:1<49::aid-mana49>3.0.co;2-7
Subject(s) - spinor , covariant transformation , mathematics , conformal map , invariant (physics) , pure mathematics , conformal symmetry , primary field , differential operator , weyl transformation , mathematical physics , algebra over a field , mathematical analysis
By means of a conformal covariant differentiation process we construct generating systems for conformally invariant symmetric ( r , s )–spinors in an arbitrary curved space–time. Extending this method to conformally invariant linear differential operators acting on symmetric spinor fields some classes of such operators are derived.