Two-dimensional superconformal gravity with the local symmetry supergroups OSP(1||2)×OSP(2||2) and SP(2)×OSP(2||2)

Details Two-dimensional superconformal gravity with the local symmetry supergroups OSP(1||2)×OSP(2||2) and SP(2)×OSP(2||2) Two-dimensional superconformal gravity with the local symmetry supergroups OSP(1||2)×OSP(2||2) and SP(2)×OSP(2||2)

Aug 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..34.1049m&link_type=abstract

Physical Review D (Particles and Fields), Volume 34, Issue 4, 15 August 1986, pp.1049-1055

Physics

3

Supersymmetry, Supergravity

Scientific paper

The algebra of OSP(1||2)×OSP(2||2) is given and all its matter multiplets are constructed. It is shown that only one multiplet can be used to form a two-dimensional superconformal gravity theory. The SP(2)×OSP(2||2) two-dimensional superconformal gravity is also constructed with the normal spin (0,1/2) matter multiplet as well as with a constrained multiplet that transforms nontrivially only under a subgroup of the SP(2)×OSP(2||2) group. These theories are quantized, and some of the consequences of anomalies in the conformal symmetries are analyzed in detail.

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