Super Gravitons Interacting with the Super Virasoro Group

TL;DR

This paper introduces new field theories describing the interaction of supergravitons with the super Virasoro algebra, extending to higher dimensions and aligning with known supergravity prepotentials, with potential implications for quantization and gravity theories.

Contribution

It develops a novel framework linking supergravitons to the super Virasoro algebra through superfield actions, extending the approach to higher dimensions and matching supergravity prepotentials.

Findings

Explicit models in 2, 3, and 4 dimensions

Supergravity prepotentials match the dual elements

Potential applications in quantization and AdS gravity

Abstract

We describe actions that correspond to the interaction of the Super Virasoro algebra with supergravitons. These new field theories introduce a superfield that corresponds to dual elements of the super Virasoro algebra. We are also able to extend the definition of these field theories to higher dimensions. We explicitly exhibit the 2, 3 and 4 dimensional cases. Remarkably, the fundamental prepotentials describing these dual elements of the super Virasoro algebra, in each model, agrees with the known prepotentials of the corresponding supergravity theory. These theories might be important in the quantization of the super Virasoro group, supergravity and in AdS and super AdS gravity.