Comments on Noncommutative Open String Theory: V-duality and Holography

TL;DR

This paper explores the effects of electric and magnetic backgrounds on noncommutative open string theories, introduces a new V-duality concept, and extends holographic duality to NCOS, revealing new insights into noncommutative string dynamics.

Contribution

It proposes the V-duality for NCOS with mixed noncommutativity and generalizes holographic correspondence from NCYM to NCOS.

Findings

No decoupling limit for NCYM with space-time noncommutativity.

V-duality acts on NCOS via Lorentz-boost related backgrounds.

Holographic duality extends from NCYM to NCOS.

Abstract

In this paper we study the interplay of electric and magnetic backgrounds in determining the decoupling limit of coincident D-branes towards a noncommutative Yang-Mills (NCYM) or open string (NCOS) theory. No decoupling limit has been found for NCYM with space-time noncommutativity. It is suggested that there is a new duality, which we call V-duality, which acts on NCOS with both space-space and space-time noncommutativity, resulting from decoupling in Lorentz-boost related backgrounds. We also show that the holographic correspondence, previously suggested by Li and Wu, between NCYM and its supergravity dual can be generalized to NCOS as well.