Multiple M2-branes and plane waves

DOI10.1088/1126-6708/2008/09/112zbMATH Open1245.81146arXiv0806.3253OpenAlexW2092674558MaRDI QIDQ445535

Author name not available (Why is that?)

Publication date: 26 August 2012

Published in: (Search for Journal in Brave)

Abstract: We propose a natural generalisation of the BLG multiple M2-brane action to membranes in curved plane wave backgrounds, and verify in two different ways that the action correctly captures the non-trivial space-time geometry. We show that the M2 to D2 reduction of the theory along a non-trivial direction in field space is equivalent to the D2-brane world-volume Yang-Mills theory with a non-trivial (null-time dependent) dilaton in the corresponding IIA background geometry. As another consistency check of this proposal we show that the properties of metric 3-algebras ensure the equivalence of the Rosen coordinate version of this action (time-dependent metric on the space of 3-algebra valued scalar fields, no mass terms) and its Brinkmann counterpart (constant couplings but time-dependent mass terms). We also establish an analogous result for deformed Yang-Mills theories in any dimension which, in particular, demonstrates the equivalence of the Rosen and Brinkmann forms of the plane wave matrix string action.

Full work available at URL: https://arxiv.org/abs/0806.3253

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