Supersymmetric Domain Walls

TL;DR

This paper classifies half-supersymmetric domain walls in toroidally compactified IIA/IIB string theory, linking them to gauged supergravity theories using algebraic and supersymmetry constraints.

Contribution

It provides a systematic classification of domain walls based on supersymmetry, algebraic structures, and embedding tensor formalism, clarifying their relation to central charges.

Findings

Number of domain walls correlates with central charge degeneracy.

Uses E11 Kac-Moody algebra to identify supersymmetric branes.

Establishes correspondence between domain walls and gauged supergravity theories.

Abstract

We classify the half-supersymmetric "domain walls", i.e. branes of codimension one, in toroidally compactified IIA/IIB string theory and show to which gauged supergravity theory each of these domain walls belong. We use as input the requirement of supersymmetric Wess-Zumino terms, the properties of the E11 Kac-Moody algebra and the embedding tensor formalism. We show that the number of half-supersymmetric domain walls is a multiple of the number of corresponding central charges in the supersymmetry algebra, where the multiplicity is related to the degeneracy of the BPS conditions.