Modified Star-Products Beyond the Large-B Limit

TL;DR

This paper computes derivative corrections to open-string effective actions at all derivative orders, introducing deformed star-products beyond the Seiberg--Witten limit, and explores their implications for non-commutative gauge theories.

Contribution

It introduces a set of deformed star-products that extend beyond the Seiberg--Witten limit, incorporating derivative corrections and a deformed integration in non-commutative settings.

Findings

Derived all-order derivative corrections to couplings.

Defined deformed star-products beyond the Seiberg--Witten limit.

Reinterpreted couplings via a deformed Wilson line integration.

Abstract

Derivative corrections to the Wess--Zumino couplings of open-string effective actions are computed at all orders in derivatives, taking the open-string metric into account. This leads to a set of deformed star-products beyond the Seiberg--Witten limit, and allows to reinterpret the couplings in terms of a deformed integration prescription along a Wilson line in the non-commutative set-up. Moreover, the recursive definition of the star-products induces deformations of U(1) non-commutative Yang--Mills theory.