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

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

1998-07-16

arxiv.org/abs/hep-th/9807111v2

Phys.Lett. B441 (1998) 123-132

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, references added

Scientific paper

10.1016/S0370-2693(98)01122-8

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.

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