N=2* SU(2) Supersymmetric Yang-Mills Theory and Four-Manifold Invariants - Gregory Moore

Explore the intricacies of N=2* SU(2) Supersymmetric Yang-Mills Theory and its connection to four-manifold invariants in this high-energy theory seminar. Delve into topics such as almost complex structures, topological twisting, spin structures, and partition functions. Examine the relation to Vafa-Witten equations, Coulomb branch integrals, and Maxwell partition functions. Investigate mock modular forms, topological couplings, and the determination of effective action. Gain insights from speaker Gregory Moore of Rutgers University as he presents his work in collaboration with Jan Manschot, building upon previous research in the field.

Intro
Work with JAN MANSCHOT
Closely related to previous work of
Four-Manifolds We Consider
Almost Complex Structure
N=2* SYM
Topological Twisting
Preliminary: Spin -structure - 1/3
Topologically Twisted Partition Functio
Math Definition of Partition Function
Index Computations
Symmetry
co Limits Of Instanton Contribution
Relation To Vafa-Witten Equations-5
Coulomb Branch Integral
Coulomb Branch Measure
Maxwell Partition Function
Maxwell Coupling To Suv
Implication For Class S
The Integral Is a Mock Modular Form
Possible Topological Couplings An
Determination Of Effective Action
Basic Principle