- September 7, 2023: Categorical Symmetries and Geometric Engineering
- September 13, 2019: 5d SCFTs: Geometry, Graphs and Gauge Theories
- April 10, 2019: Higgs Bundles in M Theory
- September 13, 2018: Gauge Theories and Associatives
- September 14, 2016: M-theory on CY, singularities and resolutions
- September 13, 2016: Gauge theories in M/string theory and Higgs bundles
September 7, 2023
TITLE: Categorical Symmetries and Geometric Engineering
ABSTRACT: I will provide an overview of recent works on realizing generalized global symmetries (or categorical symmetries) in quantum field theories, that are constructed in string theory by geometric engineering.
September 13, 2019
TITLE: 5d SCFTs: Geometry, Graphs and Gauge Theories
ABSTRACT: 5d SCFT are intrinsically strongly coupled. We develop a systematic approach to study 5d SCFTs that descend from 6d SCFTs using resolutions of elliptic Calabi-Yau three-folds with non-minimal singularities. We show how to encode the network of descendant SCFTs using a simple graph-based approach, which encodes many of the salient features of the 5d SCFTs, including the strongly-coupled flavor symmetries, BPS states and gauge theory descriptions (including dualities).
Slides of Lecture
April 10, 2019
TITLE: Higgs Bundles in M Theory
ABSTRACT:
Slides of Lecture
September 13, 2018
TITLE: Gauge Theories and Associatives
ABSTRACT: I will discuss recent developments of gauge theories reduced on associative cycles in G₂-holonomy manifolds. The main focus will be on M5-branes or more generally 6d (2,0) superconformal theories with ADE gauge group on associative three-cycles M₃ in G₂ manifolds. The resulting theories preserve 3d N=1, i.e. minimal, supersymmetry. I will explain a generalization of the 3d-3d correspondence to such N=1 supersymmetric theories and determine the `dual’ topologial theories that compute the S³ partition function and Witten index of the 3d N=1 theory, respectively, to be real Chern-Simons theory and a generalized BF-model, respectively. The BPS equations for the latter are a set of generalized 3d Seiberg-Witten equations.
This is work in collaboration with Julius Eckhard (Oxford), Jin-Mann Wong (KIPMU), as well as work in progress with J.Eckhard and Heeyeon Kim (Oxford).
