De Sitter supergravity with positive cosmological constant and generalised Lie superalgebras

Details De Sitter supergravity with positive cosmological constant and generalised Lie superalgebras De Sitter supergravity with positive cosmological constant and generalised Lie superalgebras

Sep 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cqgra...2..645v&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 2, Sept. 1, 1985, p. 645-659.

Mathematics

Group Theory

4

Field Theory (Physics), Gravitation Theory, Hyperspaces, Lie Groups, Spinor Groups, Supergravity, Cosmology, Ghosts, Group Theory

Scientific paper

The modified conjugation law for fermion fields is suggested providing Hermiticity of the de Sitter supergravity action with the positive cosmological constant Lambda greater than 0. It is shown however that the modified conjugation leads to an indefinite metric Hilbert space, i.e., although de Sitter supergravity exists, it possesses ghosts. The corresponding N = 1 supersymmetric de Sitter algebra is constructed. It is found that this algebra is not an ordinary Lie superalgebra but belongs to the class of generalized (Z2 x Z2-graded) Lie superalgebras.

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