nLab
boundary field theory

Context

Physics

physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes


theory (physics), model (physics)

experiment, measurement, computable physics

Contents

Idea

In FQFT-language, as a (pre-)quantum field theory in dimension nn 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 (,n)(\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.

Definition

See at

singularityfield theory with singularities
boundary condition/braneboundary field theory
domain wall/bi-braneQFT with defects

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 23, 2014 at 20:42:01. See the history of this page for a list of all contributions to it.