Representations and BPS states of 10+2 superalgebra
R. Manvelyan, A. Melikyan, R. Mkrtchyan
TL;DR
This paper classifies BPS states within a 12-dimensional superalgebra, identifying possible fractions of preserved supersymmetry and exploring the role of various tensor charges in these states.
Contribution
It provides a detailed classification of BPS states in 12d superalgebra, including specific fractions of preserved supersymmetry and the impact of higher-rank tensor charges.
Findings
Possible preserved supersymmetry fractions: 1/16, 1/8, 3/16, 1/4, 5/16, 1/2
Certain fractions like 3/8 and 7/16 are not achievable
Analysis includes cases with non-zero sixth-rank tensor charge
Abstract
The 12d supersymmetry algebra is considered, and classification of BPS states for some canonical form of second-rank central charge is given. It is shown, that possible fractions of survived supersymmetry can be 1/16, 1/8, 3/16, 1/4, 5/16 and 1/2, the values 3/8, 7/16 cannot be achieved in this way. The consideration of a special case of non-zero sixth-rank tensor charge also is included.
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