A note on half-supersymmetric bound states in M-theory and type IIA

TL;DR

This paper constructs and analyzes half-supersymmetric bound states in M-theory and type IIA supergravity using O(7,7) transformations, revealing new solutions and their dual non-commutative theories.

Contribution

It introduces a method to generate half-supersymmetric bound states in M-theory and type IIA, and explores their near horizon limits and dual non-commutative theories.

Findings

New half-supersymmetric bound state solutions in type IIA supergravity.

Lifted solutions to M-theory showing complex bound states.

Identified supergravity duals of non-commutative theories.

Abstract

By using O(7,7) transformations, to deform D6-branes, we obtain half-supersymmetric bound state solutions of type IIA supergravity, containing D6, D4, D2, D0, F1-branes and waves. We lift the solutions to M-theory which gives half-supersymmetric M-theory bound states, e.g. KK6-M5-M5-M5-M2-M2-M2-MW. We also take near horizon limits for the type IIA solutions, which gives supergravity duals of 7-dimensional non-commutative open string theory (with space-time and space-space non-commutativity), non-commutative Yang-Mills theory (with space-space and light-like non-commutativity) and an open D4-brane theory.