- 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 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).