Brane-Bulk Interaction in Topological Theory

TL;DR

This paper explores how boundary degrees of freedom, including gravity, can emerge from a higher-derivative topological bulk theory with a brane of codimension greater than one, highlighting the boundary's singular nature.

Contribution

It demonstrates the induction of boundary gravity and higher-derivative corrections from a higher-derivative topological bulk theory with a higher-codimension brane.

Findings

Boundary action includes gravity and higher-derivative terms.

Boundary is singular due to codimension greater than one.

Specific brane-bulk couplings induce boundary dynamics.

Abstract

In this letter we address the problem of inducing boundary degrees of freedom from a bulk theory whose action contains higher-derivative corrections. As a model example we consider a topological theory with an action that has only a ``higher-derivative'' term. By choosing specific coupling of the brane to the bulk we show that the boundary action contains gravity action along with some higher-derivative corrections. The co-dimension of the brane is more than one. In this sense the boundary is singular.