Penrose Limits of Orbifolds and Orientifolds

Details Penrose Limits of Orbifolds and Orientifolds Penrose Limits of Orbifolds and Orientifolds

2002-03-14

arxiv.org/abs/hep-th/0203134v2

JHEP 0207 (2002) 031

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, references added

Scientific paper

10.1088/1126-6708/2002/07/031

We study the Penrose limit of various AdS_p X S^q orbifolds. The limiting spaces are waves with parallel rays and singular wave fronts. In particular, we consider the orbifolds AdS_3 X S^3/\Gamma, AdS_5 X S^5/\Gamma and AdS_{4,7} X S^{7,4}/\Gamma where \Gamma acts on the sphere and/or the AdS factor. In the pp-wave limit, the wave fronts are the orbifolds C^2/\Gamma, C^4/\Gamma and R XC^4/\Gamma, respectively. When desingularization is possible, we get asymptotically locally pp-wave backgrounds (ALpp). The Penrose limit of orientifolds are also discussed. In the AdS_5 X RP^5 case, the limiting singularity can be resolved by an Eguchi-Hanson gravitational instanton. The pp-wave limit of D3-branes near singularities in F-theory is also presented. Finally, we give the embedding of D-dimensional pp-waves in flat M^{2,D} space.

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