The string little algebra

Keith Glennon; Peter West

doi:10.1142/S0217751X22500518

The string little algebra

Keith Glennon, Peter West^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the string, like point particles and branes, to be an irreducible representation of the semi-direct product of the Cartan involution invariant subalgebra of E11 and its vector representation. We show that the subalgebra that preserves the string charges, the string little algebra, is essentially the Borel subalgebra of E9. We also show that the known string physical states carry a representation of parts of this algebra.

Original language	English
Article number	2250051
Journal	International Journal of Modern Physics A
Volume	37
Issue number	10
DOIs	https://doi.org/10.1142/S0217751X22500518
Publication status	Published - 10 Apr 2022

Keywords

E11
string theory
Supersymmetry

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10.1142/S0217751X22500518

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abstract = "We consider the string, like point particles and branes, to be an irreducible representation of the semi-direct product of the Cartan involution invariant subalgebra of E11 and its vector representation. We show that the subalgebra that preserves the string charges, the string little algebra, is essentially the Borel subalgebra of E9. We also show that the known string physical states carry a representation of parts of this algebra. ",

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AB - We consider the string, like point particles and branes, to be an irreducible representation of the semi-direct product of the Cartan involution invariant subalgebra of E11 and its vector representation. We show that the subalgebra that preserves the string charges, the string little algebra, is essentially the Borel subalgebra of E9. We also show that the known string physical states carry a representation of parts of this algebra.

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KW - Supersymmetry

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The string little algebra

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