Continuous point symmetries in Group Field Theories
Alexander Kegeles, Daniele Oriti
TL;DR
This paper explores continuous point symmetries in Group Field Theories of quantum gravity, analyzing their geometric aspects and deriving associated conservation laws to deepen understanding of symmetries in non-local field theories.
Contribution
It provides a comprehensive geometric analysis of symmetries in GFT models and introduces generalized conservation laws specific to these non-local theories.
Findings
Identification of continuous point symmetries in GFT models
Derivation of generalized conservation laws from symmetries
Enhanced understanding of symmetry structures in non-local quantum gravity theories
Abstract
We discuss the notion of symmetries in non-local field theories characterized by integro-differential equations of motion, from a geometric perspective. We then focus on Group Field Theory (GFT) models of quantum gravity and provide a general analysis of their continuous point symmetry transformations, including the generalized conservation laws following from them.
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