Isometric embeddings and noncommutative branes in homogeneous gravitational waves
Abstract
We characterize the worldvolume theories on symmetric Dbranes in a sixdimensional Cahen Wallach ppwave supported by a constant Neveu Schwarz 3form flux. We find a class of flat noncommutative Euclidean D3branes analogous to branes in a constant magnetic field, as well as curved noncommutative Lorentzian D3branes analogous to branes in an electric background. In the former case, the noncommutative field theory on the branes is constructed from first principles, related to dynamics of fuzzy spheres in the worldvolumes, and used to analyse the flat space limits of the string theory. The worldvolume theories on all other symmetric branes in the background are local field theories. The physical origins of all these theories are described through the interplay between isometric embeddings of branes in the spacetime and the Penrose Güven limit of AdS_{3} × S^{3} with Neveu Schwarz 3form flux. The noncommutative field theory of a nonsymmetric spacetimefilling Dbrane is also constructed, giving a spatially varying but timeindependent noncommutativity analogous to that of the Dolan Nappi model.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 June 2005
 DOI:
 10.1088/02649381/22/11/004
 arXiv:
 arXiv:hepth/0502054
 Bibcode:
 2005CQGra..22.1945H
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 52 pages