Contents

# Contents

## Idea

In FQFT-language, as a (pre-)quantum field theory in dimension $n$ is given by a functor on an (infinity,n)-category of cobordisms, so a field theory with boundaries/branes is given by such a functor on an $(\infty,n)$-category of cobordisms with marked boundaries. The assignments to the boundary data itself defines a kind of field theory of one dimension lower, which is the corresponding boundary field theory.

If the field theory is thought of as a sigma-model that describes the quantum mechanics of a particle or string or membrane, etc., then the boundary condition is also called a brane for that sigma-model.

See at

## References

For more see the references at defect field theory.

Comments in the context of multisymplectic geometry are in

• José Zapata, Multisymplectic effective

General Boundary Field Theory_, (pdf)

Axiomatization and examples of boundary field theories in local prequantum field theory is in

Last revised on September 28, 2018 at 09:48:15. See the history of this page for a list of all contributions to it.