Reduction of the Two Body Problem in N=2 Chern Simons Supergravity

TL;DR

This paper extends reduction techniques from 2+1 gravity to N=2 Chern Simons supergravity, demonstrating an exact reduction of the two body problem to a one body formalism with explicit invariants.

Contribution

It introduces a novel exact reduction method for the two body problem in N=2 Chern Simons supergravity, providing explicit invariant expressions.

Findings

Exact reduction of the two body problem to a one body formalism.

Explicit expressions for invariants of the reduced system.

Demonstration of the method's applicability to supergravity.

Abstract

By an extension of the methods used for the reduction of the two body problem in 2+1 dimensional gravity, we show that the two body problem in N=2 Chern Simons supergravity can be reduced exactly to an equivalent on body formalism. We give exact expressions for the invariants of the reduced one body problem.