TY - JOUR

T1 - Novel supermultiplets of SU(2,2/4) and the AdS5/CFT4 duality

AU - Günaydin, M.

AU - Minic, D.

AU - Zagermann, M.

N1 - Funding Information:
PACS: 11.25.Hf Keywords: String theory; Conformal field theory; AdS/CFT duality; Supergravity; Doubletons 1 Work supported in part by the National Science Foundation under Grant Number PHY-9802510. E-mail: murat@phys.psu.edu 2 E-mail: minic@physics.usc.edu. Present address: Department of Physics and Astronomy, University of Southern California, Los Angeles, CA 90089-0484, USA. 3 E-mail: zagerman@phys.psu.edu

PY - 1999/4/12

Y1 - 1999/4/12

N2 - We continue our study of the unitary supermultiplets of the script N = 8 d = 5 anti-de Sitter (AdS5) superalgebra SU(2, 2/4), which is the symmetry algebra of type IIB superstring theory on AdS5 × S5. SU(2,2/4) is also the script N = 4 extended conformal superalgebra in d = 4. We show explicitly how to go from the compact SU(2) × SU(2) × U(1) basis to the non-compact SL(2, ℂ) × D basis of the positive (conformal) energy unitary representations of the conformal group SU(2, 2) in d = 4. The doubleton representations of the AdS5 group SU(2, 2), which do not have a smooth Poincaré limit in d = 5, are shown to represent fields with vanishing masses in four-dimensional Minkowski space, i.e. on the boundary of AdS5, where SU(2, 2) acts as conformal group. The unique CPT self-conjugate irreducible doubleton supermultiplet of SU(2, 2/4) is simply the script N = 4 Yang-Mills supermultiplet in d = 4. We study some novel short non-doubleton supermultiplets of SU(2, 2/4) that have spin range 2 and that do not appear in the Kaluza-Klein spectrum of type IIB supergravity or in tensor products of the script N = 4 Yang-Mills supermultiplet with itself. These novel supermultiplets can be obtained from tensoring chiral doubleton supermultiplets,some of which we expect to be related to the massless limits of 1/4 BPS states. Hence, these novel supermultiplets may be relevant to the solitonic sector of IIB superstring and/or (p,q) superstrings over AdS5 × S5.

AB - We continue our study of the unitary supermultiplets of the script N = 8 d = 5 anti-de Sitter (AdS5) superalgebra SU(2, 2/4), which is the symmetry algebra of type IIB superstring theory on AdS5 × S5. SU(2,2/4) is also the script N = 4 extended conformal superalgebra in d = 4. We show explicitly how to go from the compact SU(2) × SU(2) × U(1) basis to the non-compact SL(2, ℂ) × D basis of the positive (conformal) energy unitary representations of the conformal group SU(2, 2) in d = 4. The doubleton representations of the AdS5 group SU(2, 2), which do not have a smooth Poincaré limit in d = 5, are shown to represent fields with vanishing masses in four-dimensional Minkowski space, i.e. on the boundary of AdS5, where SU(2, 2) acts as conformal group. The unique CPT self-conjugate irreducible doubleton supermultiplet of SU(2, 2/4) is simply the script N = 4 Yang-Mills supermultiplet in d = 4. We study some novel short non-doubleton supermultiplets of SU(2, 2/4) that have spin range 2 and that do not appear in the Kaluza-Klein spectrum of type IIB supergravity or in tensor products of the script N = 4 Yang-Mills supermultiplet with itself. These novel supermultiplets can be obtained from tensoring chiral doubleton supermultiplets,some of which we expect to be related to the massless limits of 1/4 BPS states. Hence, these novel supermultiplets may be relevant to the solitonic sector of IIB superstring and/or (p,q) superstrings over AdS5 × S5.

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U2 - 10.1016/S0550-3213(99)00007-3

DO - 10.1016/S0550-3213(99)00007-3

M3 - Article

AN - SCOPUS:0033548804

VL - 544

SP - 737

EP - 758

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -