E10 Orbifolds
Jeffrey Brown, Surya Ganguli, Ori J. Ganor, Craig Helfgott
TL;DR
This paper explores Z2 orbifolds of M-theory using E10 and related Kac-Moody algebras, revealing connections between twisted sectors, untwisted sectors, and algebraic structures like DE10 and DE18.
Contribution
It establishes a relation between Z2 actions on E10 and imaginary roots, and shows how DE18 can unify descriptions of both sectors in M-theory orbifolds.
Findings
Relation between Z2 action and imaginary roots in E10
DE18 algebra describes both twisted and untwisted sectors
Connection between E10, DE10, and DE18 in M-theory orbifolds
Abstract
We study Z2 orbifolds of M-theory in terms of E10. We find a simple relation between the Z2 action on E10 and the imaginary root that corresponds [hep-th/0401053] to the "twisted sector" branes. We discuss the connection between the Kac-Moody algebra DE10 and the "untwisted" sector, and we demonstrate how DE18 can describe both the untwisted and twisted sectors simultaneously.
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