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This overview outlines the foundational principles and implications of an adjoint-scalar group field theory based on the exceptional Lie algebra E₈.

August 1, 2026Open Access

Foundations of an E₈ group field theory

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Overview discusses the organizing principle, rigidity, and framework of an adjoint-scalar E₈ group field theory.

This overview outlines the foundational principles and implications of an adjoint-scalar group field theory based on the exceptional Lie algebra E₈.
Overview of the organizing principle of rigidity in constructing a field theory from E₈.
Analysis of the implications of the Lie algebra's properties and constraints on kinetic terms and actions.
Summary of four separate papers detailing different aspects of the group field theory framework.
The compact form of E₈ limits the construction options for kinetic terms to two-derivative actions only.
Vacuum candidates are ranked based on the octic invariant p₈, determined through the structural choices made in the theory.
The effective action outlines a four-dimensional emergent Lorentzian theory derived from the 114-dimensional contact orbit.

Lukáš Bednařík (2026) studied this question.

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