Penrose limits of Lie Branes and a Nappi--Witten braneworld
arXiv:hep-th/0303212 · doi:10.1088/1126-6708/2003/06/025
Abstract
Departing from the observation that the Penrose limit of AdS_3 x S^3 is a group contraction in the sense of Inonu and Wigner, we explore the relation between the symmetric D-branes of AdS_3 x S^3 and those of its Penrose limit, a six-dimensional symmetric plane wave analogous to the four-dimensional Nappi--Witten spacetime. Both backgrounds are Lie groups admitting bi-invariant lorentzian metrics and symmetric D-branes wrap their (twisted) conjugacy classes. We determine the (twisted and untwisted) symmetric D-branes in the plane wave background and we prove the existence of a space-filling D5-brane and, separately, of a foliation by D3-branes with the geometry of the Nappi--Witten spacetime which can be understood as the Penrose limit of the AdS_2 x S^2 D3-brane in AdS_3 x S^3. Parenthetically we also derive a simple criterion for a symmetric plane wave to be isometric to a lorentzian Lie group. In particular we observe that the maximally supersymmetric plane wave in IIB string theory is isometric to a lorentzian Lie group, whereas the one in M-theory is not.
arXiv comment21 pages (v2: references added)
References in corpus (22)
- Strings in flat space and pp waves from Super Yang Mills
- Penrose limits and maximal supersymmetry
- A new maximally supersymmetric background of IIB superstring theory
- A WZW model based on a non-semi-simple group
- D-branes in the WZW model
- Penrose limits, supergravity and brane dynamics
- Plane Wave Limits and T-Duality
- D-branes in group manifolds
- Anti-de-Sitter D-branes
- Penrose Limit of N=1 Gauge Theories
- The geometry of WZW branes
- Nonsemisimple Sugawara Constructions
- A Class of String Backgrounds as a Semiclassical Limit of WZW Models
- D-Brane Solutions in pp-wave Background
- Pluecker-type relations for orthogonal planes
- A Small Note on PP-Wave Vacua in 6 and 5 Dimensions
- On the structure of symmetric self-dual Lie algebras
- D-Brane Solutions from New Isometries of pp-Waves
- D-branes in an AdS_3 background
- More D-branes in the Nappi-Witten background
- p-p' Branes in PP-wave Background
- D-Branes at angle in pp-wave Background
Cited by in corpus (18)
- String interactions in gravitational wave backgrounds
- Generalized kappa-deformed spaces, star-products, and their realizations
- String Theory on Parallelizable PP-Waves
- D-branes and BCFT in Hpp-wave backgrounds
- Supergravity vacua and lorentzian Lie groups
- Parallelisable Heterotic Backgrounds
- Noncommutative Field Theory on Homogeneous Gravitational Waves
- D-branes in PP-wave light cone string field theory
- NS5 Brane and Little String Duality in the pp-wave Limit
- Gravitational wave solutions in string and M-theory AdS Backgrounds
- Isometric Embeddings and Noncommutative Branes in Homogeneous Gravitational Waves
- Boundary states in the Nappi-Witten model
- Generalised Penrose Limits and PP-Waves
- Deformations of M-theory Killing superalgebras
- Inner brane: A D3-brane in the Nappi-Witten model from an inner group automorphism
- On exactly solvable Yang-Baxter models and enhanced symmetries
- Plane waves from double extended spacetimes
- Metric 3-Leibniz algebras and M2-branes