Symmetry-deforming interactions of chiral p-forms

TL;DR

This paper reviews no-go theorems on gauge-symmetry interactions of chiral p-forms and demonstrates that, for a specific case, the only consistent interaction aligns with the type II B supergravity Lagrangian.

Contribution

It explicitly shows that the unique symmetry-deforming interaction for a chiral 4-form and two 2-forms matches the known supergravity Lagrangian.

Findings

No-go theorems restrict possible gauge-symmetry interactions.

The only consistent deformation for p=4, D=10 matches type II B supergravity.

Confirmed the uniqueness of the supergravity interaction in this context.

Abstract

No-go theorems on gauge-symmetry-deforming interactions of chiral p-forms are reviewed. We consider the explicit case of p=4, D=10 and show that the only symmetry-deforming consistent vertex for a system of one chiral 4-form and two 2-forms is the one that occurs in the type II B supergravity Lagrangian.