| Abstract: |
Dimensional deconstruction refers to the phenomenon where, under suitable limits, a quiver gauge theory with a product gauge group can exhibit emergent extra dimensions, effectively realizing a five- or even six-dimensional theory. In this talk, I revisit this phenomenon through the lens of generalized global symmetries and their associated Symmetry TFTs (SymTFTs), which reveal a richer underlying structure. Specifically, I demonstrate that different global forms of 5D gauge theories correspond to distinct choices of 1-form and 0-form symmetry backgrounds in their 4D deconstructing parents. A further puzzle arises in the supersymmetric case, where it has been claimed that the 6D A-type $(2,0)$ SCFT can be deconstructed. However, this target theory is intrinsically a relative QFT, whereas the 4D parents are absolute. We propose a resolution via a 7D SymTFT perspective: a suitable gapless boundary condition encodes the global structure data of the 4D parents and reveals that the deconstructed theory is not the pure A-type SCFT, but rather a tensor product with an additional gapless chiral sector. Time permitting, I will also comment on a possible string-theoretic origin of this symmetry-refined perspective on deconstruction.
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