On section conditions of E7(7) exceptional field theory and superparticle in N=8 central charge superspace

TL;DR

This paper investigates the section conditions of E7(7) exceptional field theory using a superparticle model in N=8 superspace, revealing that only a subset of conditions related to SU(8) generators are independent and sufficient for solutions.

Contribution

It demonstrates that a subset of section conditions related to SU(8) generators suffices to solve the strong section condition in E7(7) exceptional field theory.

Findings

Only part of the section conditions are independent.

SU(8) related conditions are sufficient for solutions.

Superparticle model provides insight into section conditions.

Abstract

We study the properties of section conditions of the E7(7) exceptional field theory from the perspective of superparticle model in N=8 D=4 superspace enlarged by additional bosonic coordinates related to the central charge of the maximal supersymmetry superalgebra. In particular, the superparticle model suggests that only a part of the section conditions corresponding to generators of SU(8) subgroup of E7(7) is independent, and we show that this part indeed suffices to obtain the (classical counterpart of the) general solution of the strong section condition.