Classification of two-dimensional conformal supergravity theories with finite-dimensional algebras

Details Classification of two-dimensional conformal supergravity theories with finite-dimensional algebras Classification of two-dimensional conformal supergravity theories with finite-dimensional algebras

Jul 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..40..400m&link_type=abstract

Physical Review D (Particles and Fields), Volume 40, Issue 2, 15 July 1989, pp.400-407

Physics

1

Scientific paper

We present a list of all the finite supersymmetric extensions of the two-dimensional (2D) conformal algebra SO(2,2), which could lead to 2D superconformal gravity theories. The on-shell matter multiplets of the algebras allowing canonical spin-0 and -(1/2 matter are constructed. Using these multiplets the Weyl and Yang-Mills anomalies are calculated. There are many new models. One new model is free of both Yang-Mills and Weyl anomalies, SU(1,1)×SU(2||1,1), but only the algebras SU(1,1)2, OSP(1||2)2, OSP(2||2)2, SU(1,1)×OSP(1||2), OSP(1||2)×OSP(2||2), and SU(1,1)×OSP(2||2) lead to models free of all anomalies. These models correspond to the known string models.

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