TL;DR
This paper explores the structure of BPS states in a (10+2)-dimensional superalgebra, classifying possible configurations and revealing two distinct types of 1/2-susy BPS states related to super (2+2)-branes and nilpotent elements.
Contribution
It provides a complete classification of BPS states in (10+2) dimensions and identifies new types of 1/2-susy configurations arising from the superalgebra structure.
Findings
Two types of 1/2-susy BPS states identified
Classification of BPS states from the second-rank central term
Connection to super (2+2)-brane and nilpotent elements
Abstract
We discuss a (10+2)D N=(1,1) superalgebra and its projections to M-theory, type IIA and IIB algebras. From the complete classification of a second-rank central term valued in the so(10,2) algebra, we find all possible BPS states coming from this term. We show that, among them, there are two types of 1/2-susy BPS configurations; one corresponds to a super (2+2)-brane while another one arises from a nilpotent element in so(10,2).
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