Extended matter coupled to BF theory

Understand

Recently, a topological field theory of membrane-matter coupled to BF theory in arbitrary spacetime dimensions was proposed [1].

• In this paper, we discuss various aspects of the four-dimensional theory.
• Firstly, we study classical solutions leading to an interpretation of the theory in terms of strings propagating on a flat spacetime.
• We also show that the general classical solutions of the theory are in one-to-one correspondence with solutions of Einstein's equations in the presence of distributional matter (cosmic strings).