The PP-Wave Limits of Orbifolded AdS_5x S^5

Details The PP-Wave Limits of Orbifolded AdS_5x S^5 The PP-Wave Limits of Orbifolded AdS_5x S^5

2002-03-04

arxiv.org/abs/hep-th/0203018v4

Phys.Lett.B535:328-336,2002

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, no figures, 13 pages; v2: Eqs.(23) and (24) corrected, a reference added; v3: references added; v4, The final vers

Scientific paper

10.1016/S0370-2693(02)01771-9

Using the supergravity solution of $N_1$ D3-branes probing $A_{N_2-1}$ singularities we study the pp-wave limit of $AdS_5\times S^5/Z_{N_2}$. We show that there are two different pp-wave limits. One is the orbifold of the pp-wave limit of $AdS_5\times S^5$. In this case there is no symmetry enhancement. The other case is the same as the pp-wave limit of $AdS_5\times S^5$ and therefore we again see the maximal supersymmetry. We will also identify operators in the four dimensional ${\cal N}=2$ $SU(N_1)^{N_2}$ gauge theory which correspond to stringy excitations in the orbifolded pp-wave geometry. The existence of the maximal pp-wave geometry indicates that there is a subsector of the corresponding ${\cal N}=2$ gauge theories which has enhanced ${\cal N}=4$ supersymmetry. We also study the pp-wave limits of $AdS_{7,4}\times S^{4,7}/Z_{N}$.

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