Light-like noncommutativity and duality from open strings/branes

TL;DR

This paper tests and confirms the validity of open membrane and brane metrics and noncommutativity parameters in light-like deformed brane systems, exploring dualities and UV completions of noncommutative gauge theories.

Contribution

It provides non-trivial tests for open membrane and brane data in light-like deformations, and explores duality relations and UV completions of noncommutative theories.

Findings

Confirmation of open membrane/brane metrics and noncommutativity parameters.

Identification of duality relations in light-like noncommutative setups.

UV completion of 5D NCYM via M-theory DLCQ.

Abstract

In this paper we perform some non-trivial tests for the recently obtained open membrane/D-brane metrics and `generalized' noncommutativity parameters using Dp/NS5/M5-branes which have been deformed by light-like fields. The results obtained give further evidence that these open membrane/D-brane metrics and `generalized' noncommutativity parameters are correct. Further, we use the open brane data and supergravity duals to obtain more information about non-gravitational theories with light-like noncommutativity, or `generalized' light-like noncommutativity. In particular, we investigate various duality relations (strong coupling limits). In the light-like case we also comment on the relation between open membrane data (open membrane metric etc.) in six dimensions and open string data in five dimensions. Finally, we investigate the strong coupling limit (high energy limit) of five dimensional NCYM with \Theta^{12}=\Theta^{34}. In particular, we find that this NCYM theory can be UV completed by a DLCQ compactification of M-theory.