Spacetime Quotients, Penrose Limits and Conformal Symmetry Restoration

TL;DR

This paper investigates the Penrose limits of AdS_5 orbifolds, revealing how they relate to conformal symmetry restoration and gauge theory operators, with implications for string fluctuations and quantum corrections.

Contribution

It demonstrates the equivalence of Penrose limits for different AdS_5 orbifolds and identifies corresponding gauge theory operators, analyzing string fluctuations and quantum corrections.

Findings

Penrose limit of AdS_5/b3b5 is equivalent to that of AdS_5b7S^5/b3b5.

Identified BMN operators in gauge theory on Rb7S^3/b3b5.

Quadratic fluctuation actions are similar, but higher-loop corrections differ.

Abstract

In this paper we study the Penrose limit of AdS_5 orbifolds. The orbifold can be either in the pure spatial directions or space and time directions. For the AdS_5/\Gamma\times S^5 spatial orbifold we observe that after the Penrose limit we obtain the same result as the Penrose limit of AdS_5\times S^5/\Gamma. We identify the corresponding BMN operators in terms of operators of the gauge theory on R\times S^3/\Gamma. The semi-classical description of rotating strings in these backgrounds have also been studied. For the spatial AdS orbifold we show that in the quadratic order the obtained action for the fluctuations is the same as that in S^5 orbifold, however, the higher loop correction can distinguish between two cases.