TL;DR
This paper presents a unique 11-dimensional supergravity pp-wave solution with exactly 26 supercharges, explores its properties, and discusses related configurations in type IIA and IIB supergravity theories.
Contribution
It introduces a novel pp-wave solution with 26 supercharges and analyzes its implications for supersymmetry and D-brane configurations in string theory.
Findings
The 11D pp-wave preserves exactly 26 supercharges.
Compactification yields a 26-supercharge IIA background without D0-brane charge.
A 28-supercharge IIB pp-wave solution is also constructed.
Abstract
A pp-wave solution to 11-dimensional supergravity is given with precisely 26 supercharges. Its uniqueness and the absence of 11-dimensional pp-waves which preserve (precisely) 28 or 30 supercharges is discussed. Compactification on a spacelike circle gives a IIA configuration with all 26 of the supercharges. For this compactification, D0 brane charge does not appear in the supersymmetry algebra. Indeed, the 26 supercharge IIA background does not admit any supersymmetric D-branes. In an appendix, a 28 supercharge IIB pp-wave is presented along with its supersymmetry algebra.
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