Plane wave limits and T-duality

By R. Gueven. 2000

268 citations recorded by the source corpus.

Abstract The Penrose limit is generalized to show that, any leading order solution of the low-energy field equations in any one of the five string theories has a plane wave solution as a limit. This limiting procedure takes into account all the massless fields that may arise and commutes with the T-duality so that any dual solution has again a plane wave limit. The scaling rules used in the limit are unique and stem from the scaling property of the D=11 supergravity action. Although the leading order dual solutions need not be exact or supersymmetric, their plane wave limits always preserve some portion of the Poincare supersymmetry and solve the relevant field equations in all powers of the string tension parameter. Further properties of the limiting procedure are discussed.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/acfbd22bc66b93c6392eab564ee131ce6215495b

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In Nuclear and High Energy Physics

Citations in the corpus

Matrix perturbation theory for M-theory on a PP-wave (2002, methodology): “The matrix model for general μ was proposed by BMN to give a description of the DLCQ of M-theory on the maximally supersymmetric pp-wave background [7, 8, 9, 10] of eleven-dimensional supergravity(1)”
On Penrose limits and gauge Theories (2002, methodology): “Finally in this section we consider the simplest of the theories with varying 5-form flux - the Klebanov-Tseytlin solution [13].”
On solvable models of type IIB superstring in NS-NS and R-R plane wave backgrounds (2002, background): “2 For a detailed discussion of the Penrose limit at the supergravity level in the general NSNS/R-R background see [20,17,21].”
All spacetimes with vanishing curvature invariants (2002, unknown): “This was extended to solutions of supergravities in [30].”
Branes in AdS and pp-wave spacetimes (2002, methodology): “We systematically analyze D-brane embeddings in the pp-wave background along with their supersymmetry.”
Penrose limits and maximal supersymmetry (2002, background): “The coordinate and gauge choices (1) and (2) ensure that the following Penrose limit [12] (as extended by Güven [7] to fields other than the metric) is well-defined:”
Maximally supersymmetric solutions of ten- and eleven-dimensional supergravities (2002, background): “It is now well known that given any solution of a supergravity theory, its plane wave limit [13, 14 ] yields another solution which, as proven in [15], preserves at least as much supersymmetry as the original solution.”
Penrose limits, supergravity and brane dynamics (2002, background): “More recently, Güven [10] extended Penrose’s argument to show that any solution of a supergravity theory has plane wave limits which are also solutions.”