Super Eightbrane in Superspace

TL;DR

This paper develops a superspace formulation for super eightbrane theory in ten dimensions, introducing novel over-ranked superfield strengths and a super ninebrane action, extending the framework to eleven dimensions.

Contribution

It introduces an over-ranked 11-form superfield strength and constructs a super ninebrane action, advancing the superspace formulation of super eightbrane theory.

Findings

Introduces an 11-form superfield strength with vanishing bosonic component.

Constructs a super ninebrane action invariant under $$-symmetry.

Extends superspace formulation to eleven dimensions.

Abstract

We present a superspace formulation for super eightbrane theory based on massive type IIA supergravity in ten-dimensions. Remarkably, in addition to the 10-form superfield strength originally needed for super eightbrane, we also need an `over-ranked' 11-form superfield strength $H_{A_1... A_{11}}$ with identically vanishing purely bosonic component, in order to satisfy all the Bianchi identities. As a natural super p-brane formulation for the 11-form superfield strength, we present a super ninebrane action on 10-dimensional super-worldvolume invariant under a local fermionic $\k$-symmetry. We also show that we can formulate such a superspace with an `over-ranked' superfield strength also in eleven-dimensions, and possibly in other lower dimensions as well.