Baryons, Determinants and Integrability at Large N - Lecture 1

Explore the intricacies of baryonic and determinant operators in large N gauge theories through this comprehensive lecture series. Delve into the fundamentals of large N expansions and tackle the challenges associated with these operators. Discover a novel perturbative approach for computing correlation functions of determinant operators, examining emergent semi-classical descriptions, connections to string worldsheet holes, and the "open-closed-open triality" proposed by Gopakumar. Focus primarily on N=4 SYM while also reviewing lesser-known works from the early 1980s. Investigate nonperturbative methods for calculating correlation functions of determinant operators in N=4 SYM using integrability of dual string worldsheet. Topics covered include Kramers-Wannier duality, high and low temperature models, link models, Z(P,Q) models, T-duality, and integration techniques.

Lecture 1: Monday, 14 October 2019 at am
Lecture 2: Tuesday, 15 October 2019 at am
Lecture 3: Wednesday, 16 October 2019 at am
Baryons, Determinants and Integrability at Large N
Plan
Kramers-Wannier duality
Beta1 High Temperature
Beta 1 Low Temperature
KW duality state up to overall factors
Higher genus surface
Resolution: Define "link" model
Z P,Q Model
Claim
Proof
T-duality
Integrate X & Sum ni