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Chiral supergravity and anomalies
Author(s) -
Mielke Eckehard W.,
Macías Alfredo
Publication year - 1999
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/(sici)1521-3889(199904)8:4<301::aid-andp301>3.0.co;2-2
Subject(s) - physics , supergravity , citation , combinatorics , computer science , library science , mathematics , particle physics , supersymmetry
Similarly as in the Ashtekar approach, the translational Chern‐Simons term is, as a generating function , instrumental for a chiral reformulation of simple supergravity . After applying the algebraic Cartan relation between spin and torsion, the resulting canonical transformation induces not only a decomposition of the gravitational fields into selfdual and anti‐selfdual modes, but also a splitting of the Rarita‐Schwinger fields into their chiral parts in a natural way. In some detail, we also analyze the consequences for axial and chiral anomalies.