Twist Defects of Non-Invertible Self-Duality Symmetries: Physical Math Seminar @SIMIS

Speaker: Siwei Zhong (Stony Brook)

Abstract: We study self-duality symmetries in free compact boson and Maxwell theory, with a focus on their kinematic implications in the twisted Hilbert space and the monodromy defect. For the compact boson and similar theories in $d=4n+2$ dimensions, we demonstrate how the zero mode quantization of the twisted Hilbert space is settled from the half-gauging topological defect. Fusion rules, g-functions, and related aspects of such defects in free compact boson are also discussed. For the Maxwell and similar theories in $d=4n$ dimensions, we find that the analog of zero modes resides at the codim-2 boundary of the half-gauging defect. The DCFT of such a monodromy defect in Maxwell theory comprises a rigid, chiral, generalized free theory sector and a decoupled chiral current sector, which we investigated in detail.

Time: 2:00 – 3:30 PM, Apr. 25, Friday.
Location: Room 1510 at SIMIS, Block A, No. 657 Songhu Road, Yangpu District, Shanghai
Zoom Meeting ID: 479 937 5280 (Passcode: SIMIS)


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