Open-string actions and noncommutativity beyond the large-B limit

Abstract

In the limit of large, constant B-field (the "Seiberg-Witten limit"), the derivative expansion for open-superstring effective actions is naturally expressed in terms of the symmetric products _∗ n. Here, we investigate corrections around the large-B limit, for Chern-Simons couplings on the brane and to quadratic order in gauge fields. We perform a boundary-state computation in the commutative theory, and compare it with the corresponding computation on the noncommutative side. These results are then used to examine the possible role of Wilson lines beyond the Seiberg-Witten limit. To quadratic order in fields, the entire tree-level action is described by a metric-dependent deformation of the ^∗2 product, which can be interpreted in terms of a deformed (non-associative) version of the Moyal ∗ product.