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 amplitude 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.

30 pages, harvmac

References in corpus (12)

• Nonassociative Star Product Deformations for D-brane Worldvolumes in Curved Backgrounds
• An Exact Solution to Seiberg-Witten Equation of Noncommutative Gauge Theory
• *-Trek III: The Search for Ramond-Ramond Couplings
• Star Products from Open Strings in Curved Backgrounds
• Ramond-Ramond Couplings of Noncommutative D-branes
• Gauge-Invariant Couplings of Noncommutative Branes to Ramond-Ramond Backgrounds
• Supergravity couplings to Noncommutative Branes, Open Wilson Lines and Generalised Star Products
• Derivative Corrections from Noncommutativity
• Non-commutative tachyon action and D-brane geometry
• Factorization and generalized *-products
• Comments on Open Wilson Lines and Generalized Star Products
• Star Products from Commutative String Theory

Cited by in corpus (5)

• Towards extending the Chern-Simons couplings at order $O({\alpha }^{\prime 2})$
• Branes as Stable Holomorphic Line Bundles On the Non-Commutative Torus
• Non-commutativity from the double sigma model
• Tachyon Potential in a Magnetic Field with Anomalous Dimensions
• Modified Star-Products Beyond the Large-B Limit