Symmetries of the boundary of AdS5 × S5 and harmonic superspace | Zendy

Piet Claus | Zendy; Рената Каллош | Zendy; J. Rahmfeld | Zendy

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Symmetries of the boundary of AdS₅ × S⁵ and harmonic superspace

Author(s) -

Piet Claus,

Рената Каллош,

J. Rahmfeld

Publication year - 1999

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 - 10.1088/1126-6708/1999/12/023

Subject(s) - superspace , mathematical physics , physics , homogeneous space , boundary (topology) , submanifold , spherical harmonics , truncation (statistics) , supersymmetry , mathematical analysis , mathematics , quantum mechanics , geometry , statistics

We study the boundary limit of the bulk isometries of AdS x S. Thesuperconformal symmetry is realized on the coordinates of the AdS boundary, thefermionic superspace coordinates, and the harmonics on the sphere. We show howthese may be related to the coordinates of an off-shell harmonic superspace ofSCFT living on the boundary. In the special case of d=4, N=2 super Yang-Millstheory, a truncation of the N=4 SYM dual to Type IIB string theory compactifiedon AdS_5 x S^5, we identify the bosonic space SU(2)/U(1) of the N=2 harmonicsuperspace (known before as auxiliary) with the S^2 submanifold of the S^5.Comment: 9 pages, LaTeX, minor changes and correction

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