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Title:
Boundary Conditions and Chiral Algebra Extensions in 3D N=2 Supersymmetric QFTs on an Interval
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Abstract:
This talk will discuss boundary conditions in three-dimensional N=2 supersymmetric QFTs that preserve (0,2) supersymmetry and support boundary vertex algebras. When a theory is put on an interval with N=(0,2) boundary conditions, the total chiral algebra is obtained by extending the tensor product of the boundary chiral algebras by their bimodules. As an example, we will consider a chiral algebra in the reduction of 3D N=2 supersymmetric gauge theories on an interval with N=(0,2) Dirichlet boundary conditions on both ends, which is related to chiral differential operators on the group. A full non-perturbative result is found in the abelian case, in which the chiral algebra is given by the rank two Narain lattice VOA.
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