TL;DR
This paper reviews evidence for dualities among superstring theories and M-theory, discusses BPS solutions in supergravity, and proposes that all lower-dimensional BPS solutions derive from eleven-dimensional supergravity.
Contribution
It introduces a conjecture that all BPS solutions in D<11 supergravity originate from D=11 supergravity solutions preserving half the supersymmetry.
Findings
Derived dyonic p-brane solutions from eleven dimensions.
Summarized combinatorial techniques for constructing BPS solutions.
Provided evidence supporting the universality of M-branes.
Abstract
We review the evidence for the various dualities amongst the five D=10 superstring theories and for the existence of M-theory using the associated effective supergravity theories. We also summarise the combinatorial technics developed for constructing BPS solutions in D=11 supergravity theory and conjecture that all the BPS solutions of D<11 supergravity theories can be derived from the BPS solutions of D=11 supergravity that preserve 1/2 the supersymmetry. To demonstrate this, we derive the dyonic p-brane solutions from eleven dimensions.
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