The study of possible constraints on the structure of the flow of the renormalization group in the space of quantum field theories is an important open problem. In this seminar we discuss the behaviour of the spectrum of BPS states of four-dimensional theories for a large class of RG flows with N=2 supersymmetric endpoints: for two theories connected by a non-trivial RG flow of the type we consider, we demonstrate that the BPS spectrum of the IR theory embeds in the BPS spectrum of the UV theory. This picture, motivated via geometric engineering in type IIB superstrings, gives a rather stringent constraint on RG flows that we describe in terms of the supersymmetric quantum mechanics that governs the BPS particles worldlines and the corresponding BPS categories. We explicitly check that these constraints are obeyed as well by Argyres-Douglas points, and by RG flows of the Maruyoshi-Song kind.
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Michele Del Zotto is an Associate Professor at Uppsala University, Sweden. He received his PhD in 2013 from SISSA (Trieste, IT), followed by an appointment as a research fellow at Harvard University (2013-2016), and then as a research assistant professor at the Simons Center for Geometry and Physics in Stony Brook, NY (2016-2018). Before joining the faculty in Uppsala, he has been a lecturer at the Department of Mathematical Sciences of Durham University, UK (2018-2020). He works at the common verge of quantum field theory, string theory, and mathematics. He is a co-discoverer of many new (mostly non-Lagrangian) superconformal field theories in four, five and six dimensions, and he has studied the BPS spectra of such theories. He has pioneered the study of symmetry categories in non-Lagrangian theories using geometric techniques.
Zoom Meeting: https://cern.zoom.us/j/96357968034?pwd=K2REeGF0V2dqOElRd09hVGVRcDk4Zz09
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Prof. Yinan Wang