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Conformally invariant supersymmetric field theories on Sp × S1 and super p-branes

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Nicolai,  Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Nicolai, H., Sezgin, E., & Tanii, Y. (1988). Conformally invariant supersymmetric field theories on Sp × S1 and super p-branes. Nuclear Physics B, 305(3), 483-496. doi:10.1016/0550-3213(88)90077-6.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-5D53-8
Abstract
We construct supersymmetric field theories on Sp × S1 for p = 1,…,5. These spaces are the boundaries of the anti-de Sitter space in (p + 2)-dimensions. Thesetheories are invariant under the super extension of the anti-de Sitter group in (p + 2)-dimensions, whose bosonic subalgebra is SO(p + 1,2) asterisk in circle SO(N), for N = 1,2,4,8. The anti-de Sitter group SO(p + 1,2) acts as the conformal group on Sp × S1. We conjecture that these theories describe the super p-branes propagating in AdSp + 2 × SN−1. The internal space is always one of the parallelizable spheres, namely S1, S3 or S7.