nLab boundary field theory




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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.


See at


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


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 13:48:15. See the history of this page for a list of all contributions to it.