TL;DR
This paper derives extended superalgebras in 14-dimensional space with signature (11,3) as solutions to a BPS equation, revealing their covariance and connection to lower-dimensional supersymmetries and dualities.
Contribution
It introduces a unified 14D superalgebra framework from which various lower-dimensional superalgebras and dualities naturally emerge.
Findings
Superalgebras of types A, B, C, heterotic, and type-I are derived in 14D.
The solutions are covariant under SO(11,3) transformations.
Different bases in 4D correspond to dualities among superalgebras.
Abstract
Extended superalgebras of types A,B,C, heterotic and type-I are all derived as solutions to a BPS equation in 14 dimensions with signature ( 11,3). The BPS equation as well as the solutions are covariant under SO( 11,3). This shows how supersymmetries with N<=8 in four dimensions have their origin in the same superalgebra in 14D. The solutions provide different bases for the same superalgebra in 4D, and the transformations among bases correspond to various dualities.
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