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2023

Non-invertible duality defect and non-commutative fusion algebra

Nagoya, Yuta, Shimamori, Soichiro

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We study non-invertible duality symmetries by gauging a diagonal subgroup of a non-anomalous U(1) $\times$ U(1) global symmetry.

In particular, we employ the half-space gauging to $c=2$ bosonic torus conformal field theory (CFT) in two dimensions and pure U(1) $\times$ U(1) gauge theory in four dimensions.
In $c=2$ bosonic torus CFT, we show that the non-invertible symmetry obtained from the diagonal gauging becomes emergent on an irrational CFT point.
We also calculate the fusion rules concerning the duality defect.

Non-invertible duality defect and non-commutative fusion algebra · Around

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