The M-Theory Two-Brane in AdS_4 x S^7 and AdS_7 x S^4

TL;DR

This paper constructs the supermembrane action in specific AdS backgrounds to all orders in fermionic coordinates, confirming consistency with previous low-order results and advancing understanding of supermembrane dynamics in these geometries.

Contribution

It provides a complete all-orders supermembrane action in AdS_4 x S^7 and AdS_7 x S^4 backgrounds, extending prior low-order gauge completion methods.

Findings

Supermembrane action constructed to all orders in fermionic coordinates.

Results agree with previous low-order gauge completion calculations.

Enhances understanding of supermembrane dynamics in AdS backgrounds.

Abstract

We construct the supermembrane action in an AdS_4 x S^7 and AdS_7 x S^4 background to all orders in anticommuting coordinates. The result is compared to and agrees completely with results obtained earlier for generic supergravity backgrounds through gauge completion at low orders in \theta.