Interactions of a String Inspired Graviton Field

TL;DR

This paper investigates a string-inspired graviton field related to quadratic differentials, proposing an improved action and interaction principles across dimensions, with implications for understanding gravitational effective actions.

Contribution

It introduces an improved action for a diffeomorphism tensor field and establishes a general interaction framework applicable in any dimension.

Findings

Proposes a new action for the graviton-related tensor field.

Establishes a universal interaction principle based on the diffeomorphism group.

Discusses potential interpretations and higher-dimensional analogues.

Abstract

We continue to explore the possibility that the graviton in two dimensions is related to a quadratic differential that appears in the anomalous contribution of the gravitational effective action for chiral fermions. A higher dimensional analogue of this field might exist as well. We improve the defining action for this diffeomorphism tensor field and establish a principle for how it interacts with other fields and with point particles in any dimension. All interactions are related to the action of the diffeomorphism group. We discuss possible interpretations of this field.