Oblique DLCQ M-theory and Multiple M2-branes

TL;DR

This paper introduces an oblique DLCQ limit to model multiple M2-branes within M-theory, involving a combination of boosting and tilting, leading to new supergravity solutions and insights into dual configurations.

Contribution

It proposes a novel oblique DLCQ limit for M-theory that captures multiple M2-branes and derives associated supergravity solutions and duality relations.

Findings

Derived supergravity solutions for multiple M2-branes.

Showed how the torus modulus is realized as a vacuum modulus in dual IIB-theory.

Demonstrated the effect of infinite boosting on the torus modulus.

Abstract

We propose an oblique DLCQ as a limit to realize a theory of multiple M2-branes in M(atrix)-theory context. The limit is a combination of an infinite boosting of a space-like circle and a tuned tilting of the circle direction. We obtain a series of supergravity solutions describing various dual configurations including multiple M2-branes. For an infinite boosting along a circle wrapped obliquely around a rectangular torus, Seiberg's DLCQ limit distorts the torus modulus. In the context of supergravity, we show explicitly how this torus modulus of $\widetilde{\text M}$-theory is realized as the vacuum modulus of dual IIB-theory.