Non-invertible symmetries from holography and branes

Abstract: Generalised non-invertible symmetries have emerged in past year as a new type of symmetry in d≥ 4 QFTs. This has lead to a new understanding of certain constraints on the low-energy dynamics of QFTs, such as QED, or the standard model. In this talk, I will describe a systematic approach to deriving symmetry generators of Quantum Field Theories in holography. Central to this are the Gauss law constraints in the Hamiltonian quantization of Symmetry Topological Field Theories (SymTFTs), which are obtained from supergravity. Crucially, we realize the symmetry generators from world-volume theories of D-branes in holography. I will particularly focus on non-invertible symmetries, by presenting the application of our proposal in the holographic setup, dual to 4d N=1 SU(M) or PSU(M) Super-Yang Mills (SYM). In the brane-picture, the fusion of non-invertible symmetries naturally arises from the Myers effect on D-branes. In addition, the action of the topological non-invertible defects t’Hooft on line is modelled by the Hanany-Witten effect. For SU and PSU SYM, we also identify the infra-red (IR) 4d field theory from the dual gravity description, which describes the domain-walls and confining/deconfining behaviour in the IR.

HEP - phenomenologyHEP - theorymathematical physicscategory theory

Audience: researchers in the topic

Symmetry Seminar

Series comments: Weekly seminar on generalized symmetries in QFT, string theory and related topics.