More on the Similarity between D=5 Simple Supergravity and M Theory

TL;DR

This paper explores deeper similarities between D=5 supergravity and M theory, focusing on duality groups, sigma models, and string worldsheet structures, revealing potential dualities and quantum corrections.

Contribution

It uncovers new parallels in duality groups and worldsheet structures, and links the D=5 supergravity solitonic string to a six-dimensional chiral string theory.

Findings

D=3, G_{2(+2)}/SO(4) sigma model derived from D=5 supergravity

String zero modes suggest duality to 6D chiral string theory

Worldsheet anomaly indicates quantum correction similar to M5-brane case

Abstract

It has been known that D=5 simple supergravity resembles D=11 supergravity in many respects. We present their further resemblances in (1) the duality groups upon dimensional reduction, and (2) the worldsheet structure of the solitonic string of the D=5 supergravity. We show that the D=3, G_{2(+2)}/SO(4) (bosonic) nonlinear sigma model is obtained by using Freudenthal's construction in parallel to the derivation of the D=3, E_{8(+8)}/SO(16) sigma model from D=11 supergravity. The zero modes of the string solution with unbroken (4,0) supersymmetry consist of three (non-chiral) scalars, four Majorana-Weyl spinors of the same chirality and one chiral scalar, which suggests a duality to a certain six-dimensional chiral string theory. The worldsheet gravitational anomaly indicates a quantum correction to the Bianchi identity for the dualized two-form gauge field in the bulk just like the M5-brane case.