Conformal primaries of OSp(8/4,Bbb R) and BPS states in AdS4 | Zendy

S. Ferrara | Zendy; E. Sokatchev | Zendy

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Conformal primaries of OSp(8/4,Bbb R) and BPS states in AdS₄

Author(s) -

S. Ferrara,

E. Sokatchev

Publication year - 2000

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2000/05/038

Subject(s) - superalgebra , conformal map , superfield , realization (probability) , physics , coherent states , mathematical physics , supersymmetry , conformal field theory , field (mathematics) , superspace , pure mathematics , lie superalgebra , theoretical physics , quantum mechanics , quantum electrodynamics , algebra over a field , mathematics , mathematical analysis , statistics , quantum , affine lie algebra , current algebra

We derive short UIR's of the OSp(8/4,R) superalgebra of 3d N=8 superconformalfield theories by the requirement that the highest weight states areannihilated by a subset of the super-Poincare odd generators. We then find asuperfield realization of these BPS saturated UIR's as "composite operators" ofthe two basic ultrashort "supersingleton" multiplets. These representations arethe AdS4 analogue of BPS states preserving different fractions of supersymmetryand are therefore suitable to classify perturbative and non-perturbativeexcitations of M-theory compactifications.Comment: refrences adde

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