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arXiv · hep-th/0109107

Deformation independent open brane metrics and generalized theta parameters

David S. Berman·Martin Cederwall·Ulf Gran·Henric Larsson·Mikkel Nielsen·Bengt E. W. Nilsson·Per Sundell
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Abstract

We investigate the consequences of generalizing certain well established properties of the open string metric to the conjectured open membrane and open Dp-brane metrics. By imposing deformation independence on these metrics their functional dependence on the background fields can be determined including the notorious conformal factor. In analogy with the non-commutativity parameter $Θ^{μν}$ in the string case, we also obtain `generalized' theta parameters which are rank q+1 antisymmetric tensors (polyvectors) for open Dq-branes and rank 3 for the open membrane case. The expressions we obtain for the open membrane quantities are expected to be valid for general background field configurations, while the open D-brane quantities are only valid for one parameter deformations. By reducing the open membrane data to five dimensions, we show that they, modulo a subtlety with implications for the relation between OM-theory and NCYM, correctly generate the open string and open D2-data.

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David S. Berman, Martin Cederwall, Ulf Gran, Henric Larsson, Mikkel Nielsen, Bengt E. W. Nilsson, Per Sundell. 2001-09-13. Deformation independent open brane metrics and generalized theta parameters. https://doi.org/10.1088/1126-6708%2F2002%2F02%2F012

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