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Multi giant graviton systems, SUSY breaking and CFT

Marco M. Caldarelli1,2 and Pedro J. Silva1,2

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In this article, we describe giant gravitons in AdS5 × Script S5 moving along generic trajectories in AdS5. The giant graviton dynamics is solved by proving that the D3-brane effective action reduces to that of a massive point particle in AdS5 and therefore the solutions are in one to one correspondence with timelike geodesics of AdS5. All these configurations are related via isometries of the background, which induce target space symmetries in the world volume theory of the D-brane. Hence, all these configurations preserve the same amount of supersymmetry as the original giant graviton, i.e. half of the maximal supersymmetry. Multiparticle configurations of two or more giant gravitons are also considered. In particular, a binary system preserving one quarter of the supersymmetries is found, providing a non trivial time-dependent supersymmetric solution. A short study on the dual CFT description of all the above states is given, including a derivation of the exact induced isometry map in the CFT side of the correspondence.


Keywords

M-Theory

Space-Time Symmetries

AdS-CFT and dS-CFT Correspondence

D-branes

PACS

11.30.Qc Spontaneous and radiative symmetry breaking

14.80.-j Other particles (including hypothetical)

11.25.Yb M theory

11.25.Uv D branes

11.30.Pb Supersymmetry

11.25.Hf Conformal field theory, algebraic structures

Subjects

Particle physics and field theory

Dates

Issue 02 (February 2004)

Received 5 February 2004, accepted for publication 23 February 2004

Published 3 March 2004



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