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Abstract |
The product of local operators in a topological quantum field theory in dimension greater than
one is commutative, as is more generally the product of extended operators of codimension
greater than one. In theories of cohomological type these commutative products are
accompanied by secondary operations, which capture linking or braiding of operators, and
behave as (graded) Poisson brackets with respect to the primary product. We describe the
mathematical structures involved and illustrate this general phenomenon in a range of physical
examples arising from supersymmetric field theories in spacetime dimension two, three, and
four. Based on work with Chris Beem, David Ben-Zvi, Tudor Dimofte & Andy Neitzke. |
