Abstract
We give a pedagogical introduction to certain aspects of supersymmetric field theories in anti-de Sitter space. Among them are the presence of masslike terms in massless wave equations, irreducible unitary representations and the phenomenon of multiplet shortening.
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References
J. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231, hep-th/9711200.
P.A.M. Dirac, The electron wave equation in de Sitter space, Ann. Math. 36 (1935) 657.
P.A.M. Dirac, A remarkable representation of the 3 + 2 de Sitter group, J. Math. Phys. 4 (1963) 901.
C. Fronsdal, Elementary particles in a curved space, Rev. Mod. Phys. 37 (1965) 221; Elementary particles in a curved space II, Phys. Rev. D10 (1974) 589; C. Fronsdal and R.B. Haugen, Elementary particles in a curved space III, Phys. Rev. D12 (1975) 3810; C. Fronsdal, Elementary particles in a curved space IV, Phys. Rev. D12 (1975) 3819.
S.J. Avis, C.J. Isham and D. Storey, Quantum field theory in anti-de Sitter spacetime, Phys. Rev. D18 (1978) 3565.
D.W. Düsedau and D.Z. Freedman, Lehmann spectral representation for anti-de Sitter quantum field theory, Phys. Rev. D33 (1986) 389.
D.Z. Freedman, Supergravity with axial-gauge invariance, Phys. Rev. D15 (1977) 1173.
D.Z. Freedman and A. Das, Gauge internal symmetry in extended supergravity, Nucl. Phys. B120 (1977) 221.
D.Z. Freedman and J.H. Schwarz, N=4 supergravity theory with local SU(2) × SU(2) invariance, Nucl. Phys. B137 (1978) 333.
B. de Wit and H. Nicolai, Extended supergravity with local SO(5) invariance, Nucl. Phys. B188 (1981) 98.
B. de Wit and H. Nicolai, N = 8 supergravity with local SO(8) × SU(8) invariance, Phys. Lett. 108B (1982) 285; N = 8 supergravity, Nucl. Phys. B208 (1982) 323.
S.J. Gates and B. Zwiebach, Gauged N = 4 supergravity with a new scalar potential, Phys. Lett. 123B (1983) 200.
M. Pernici, K. Pilch and P. van Nieuwenhuizen, Gauged maximally extended supergravity in seven dimension, Phys. Lett. 143B (1984) 103.
C.M. Hull, More gaugings of N = 8 supergravity, Phys. Lett. 148B (1984) 297.
F. Gianni, M. Pernici and P. van Nieuwenhuizen, Gauged N = 4 supergravity in six dimension, Phys. Rev. D30 (1984) 1680.
M. Günaydin, L.J. Romans and N.P. Warner, Compact and non-compact gauged supergravity theories in five dimensions, Nucl. Phys. B272 (1986) 598.
P. Breitenlohner and D.Z. Freedman, Stability in gauged extended supergravity, Ann. Phys. 144 (1982) 249.
W. Heidenreich, All linear unitary irreducible representations of de Sitter supersymmetry with positive energy, Phys. Lett. 110B (1982) 461.
D.Z. Freedman and H. Nicolai, 4), Nucl. Phys. B237 (1984) 342.
H. Nicolai, Representations of supersymmetry in anti-de Sitter space, in Supersymmetry and Supergravity’ 84, Proceedings of the Trieste Spring School, eds. B. de Wit, P. Fayet, P. van Nieuwenhuizen (World Scientific, 1984).
M. Günaydin and N.P. Warner, 4,R) and the spectrum of the S7 compactification of eleven-dimensional supergravity, Nucl. Phys. B272 (1986) 99.
M. Günaydin, P. van Nieuwenhuizen and N.P. Warner, General construction of the unitary representations of anti-de Sitter superalgebras and the spectrum of the S4 compactification of eleven-dimensional supergravity, Nucl. Phys. B255 (1985) 63.
S. Ferrara, Algebraic properties of extended supergravity in de Sitter space, Phys. Lett. 69B (1977) 481.
B. de Wit and A. Zwartkruis, 1, 1) supergravity and N = 2 supersymmetry with arbitrary cosmological constant, Class. Quantum Grav. 4 (1987) L59.
P.K. Townsend, Cosmological constant in supergravity, Phys. Rev. D15 (1977) 2802.
S. Deser and B. Zumino, Broken supersymmetry and supergravity, Phys. Rev. Lett. 38 (1977) 1433.
W. Nahm, Supersymmetries and their representations, Nucl. Phys. B135 (1978) 149.
B. de Wit, Multiplet calculus, in Supersymmetry and Supergravity’ 82, Proceedings of the Trieste School, eds. S. Ferrara, J.G. Taylor and P. Van Nieuwenhuizen (World Scientific, 1983).
M. Günaydin and C. Saclioglu, Oscillator like unitary representations of noncompact groups with a Jordan structure and the noncompact groups of supergravity, Commun. Math. Phys. 91 (1982) 159.
M. Günaydin, Oscillator like unitary representations of noncompact groups and supergroups and extended supergravity theories, in Int. Colloq. on Group Theoretical Methods in Physics, Istanbul 1982, eds. M. Serdaroglu and E. Inönü, Lect. Notes in Physics 180 (Springer, 1983).
B. de Wit, Gauged supergravity, lectures at the Trieste Spring School 1999, to be published in the proceedings.
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de Wit, B., Herger, I. (2000). Anti-de Sitter Supersymmetry. In: Kowalski-Glikman, J. (eds) Towards Quantum Gravity. Lecture Notes in Physics, vol 541. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46634-7_4
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DOI: https://doi.org/10.1007/3-540-46634-7_4
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