21 Jan/21
15:00 - 16:00 (Europe/Zurich)

Anomaly inflow and holography


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While the AdS/CFT correspondence can serve as a powerful phenomenological tool to address the hierarchy problem, its applications are certainly not limited to that scope. In this talk, I will explain how to systematically study the perturbative anomaly inflow by the bulk Chern-Simons (CS) theory in five-dimensional anti-de Sitter spacetime. When the bulk geometry is chosen to be AdS, along with the standard bulk–boundary interplay, an additional, holographic dual description emerges. Introduction of UV and IR 3-branes makes the anomaly story remarkably rich and many interesting aspects can be obtained. Depending on the boundary conditions, the 5D picture can correspond to the holographic realization of ‘t Hooft anomaly matching, either for ABJ or ‘t Hooft anomalies, or both. On the other hand, with a different choice the (gauged) Wess-Zumino-Witten action naturally emerges from the bulk CS action. In this context, anomaly matching is fulfilled by delocalized modes, namely Wilson lines along the fifth dimension, and these are Goldstone bosons (GB) in the dual 4D theory. I further demonstrate how the most general case, a typical situation occurring in models of dynamical symmetry breaking, may be analyzed thanks to our formalism.