Comments on Open Wilson Lines and Generalized Star Products
Kazumi Okuyama (KEK)
TL;DR
This paper explores the relationship between open Wilson lines, boundary states, and the Seiberg-Witten map in the context of D-branes with a B-field, analyzing the products of fields in the noncommutative gauge theory expansion.
Contribution
It provides a detailed analysis of the Seiberg-Witten map using open Wilson lines as boundary state representations, clarifying the structure of field products in noncommutative gauge theories.
Findings
Open Wilson lines can be viewed as boundary states for D-branes in B-field backgrounds.
The paper derives the products of fields in the expansion of the Seiberg-Witten map.
Insights into the structure of noncommutative gauge theories are provided.
Abstract
We consider an open Wilson line as a momentum representation of a boundary state which describes a D-brane in a constant B-field background. Using this picture, we study the Seiberg-Witten map which relates the commutative and noncommutative gauge fields, and determine the products of fields appearing in the general terms in the expansion of this map.
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