M-theory pp-waves, Penrose limits and supernumerary supersymmetries

By M. Cvetič, Hsueh-I Lu, C. Pope. 2002

143 citations recorded by the source corpus.

Abstract We study supersymmetric pp-waves in M-theory, their dimensional reduction to D0-branes or pp-waves in type IIA, and their T-dualisation to solutions in the type IIB theory. The general class of pp-waves that we consider encompass the Penrose limits of AdS p × S q with ( p , q )=(4,7), (7,4), (3,3), (3,2), (2,3), (2,2), but includes also many other examples that can again lead to exactly-solvable massive strings, but which do not arise from Penrose limits. All the pp-waves in D =11 have 16 “standard” Killing spinors, but in certain cases one finds additional, or “supernumerary,” Killing spinors too. These give rise to linearly-realised supersymmetries in the string or matrix models. A focus of our investigation is on the circumstances when the Killing spinors are independent of particular coordinates ( x + or transverse-space coordinates), since these will survive at the field-theory level in dimensional reduction or T-dualisation.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/319f34075166893f2214cfa15b055cfa6e27ee51

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Citations in the corpus

Superstring interactions in a pp -wave background (2002, background): “A number of recent papers have considered related issues, including obtaining pp-wave string theory from field theories with N = 1 supersymmetry [17-19], orbifolded pp-waves [20-23], holography in the pp-wave background [24-26], and other aspects of Penrose limits and strings in plane wave backgroun”
Maximally supersymmetric solutions of ten- and eleven-dimensional supergravities (2002, background): “The Hpp-wave ansatz has also proven useful in constructing solutions with “exotic” fractions of supersymmetry: although the generic Hppwave solution preserves one half of the supersymmetry, there are points in the moduli space of Hpp-waves besides the one corresponding to the maximally supersymmetri”
AdS4/CFT3 at one loop (2008, methodology): “This is a standard trick, see for example [14]: in fact, we could have started with IIA fermion action written in this form using Majorana spinors instead of MajoranaWeyl spinors.”
Branes in AdS and pp-wave spacetimes (2002, background): “We explicitly prove that these embeddings are supersymmetric by showing that the kappa symmetry projections are compatible with half of the target space Killing spinors and argue that all these cases lead to AdS/dCFT dualities involving a CFT with a defect.”