English

(Twisted) Toroidal Compactification of pp-Waves

High Energy Physics - Theory 2008-11-26 v4

Abstract

The maximally supersymmetric type IIB pp-wave is compactified on spatial circles, with and without an auxiliary rotational twist. All spatial circles of constant radius are identified. Without the twist, an S1^1 compactification can preserve 24, 20 or 16 supercharges. T2T^2 compactifications can preserve 20, 18 or 16 supercharges; T3T^3 compactifications can preserve 18 or 16 supercharges and higher compactifications preserve 16 supercharges. The worldsheet theory of this background is discussed. The T-dual and decompactified type IIA and M-theoretic solutions which preserve 24 supercharges are given. Some comments are made regarding the AdS parent and the CFT description.

Keywords

Cite

@article{arxiv.hep-th/0203140,
  title  = {(Twisted) Toroidal Compactification of pp-Waves},
  author = {Jeremy Michelson},
  journal= {arXiv preprint arXiv:hep-th/0203140},
  year   = {2008}
}

Comments

22 pages REVTeX 4 and AMSLaTeX. v3: References and a paragraph on nine dimensional Killing spinors were added. v4: A few typos corrected and a footnote was modified