Textbook References: "Random Matrices" by Madan Lal Mehta,
"Quantum Geometry" By Ambjorn, Durhuus and Jonsson, and
"Methods of Contemporary Gauge Theory" by Makeenko (some relevant chapters from this book are in hep-th/0001047).
Papers: "Planar Diagrams" by Brezin, Itzykson, Parisi and Zuber;
"Planar Limit for SU(N) symmetric quantum dynamical systems" by Marchesini and Onofri;
"Possible third-order phase transition in the large-N lattice gauge theory" by Gross and Witten;
"The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories" by Aharony, Marsano, Minwalla, Papadodimas, Van Raamsdonk (hep-th/0310285);
"What is String Theory?" by J. Polchinski (hep-th/9411028);
"Lectures on 2D Gravity and 2D String Theory" by Ginsparg and Moore (hep-th/9304011);
"A New Hat for the c=1 Matrix Model" by Douglas, Klebanov, Kutasov, Maldacena, Martinec and Seiberg (hep-th/0307195).
Friday, January 13, 2006
Ethan Thompson
"Single Hermitian Matrix Models"
ref: Mehta 3.1-3.3, Makeenko 13.1-13.2, Brezin et. al. sections 1-4
Friday, January 20, 2006
Steve Paik
"Single Unitary Matrix Models"
ref: Mehta, Gross and Witten
Friday, January 27, 2006
Andrew Lytle
"Quantum Mechanics: (0+1)d Single Hermitian Matrix Model"
ref: Brezin et. al., Marchesini and Onofri, as well as "Large-N limits as classical mechanics" by L. Yaffe
Friday, February 3, 2006
Brian Smigielski
"Gross-Witten Transitions Part I"
ref: Gross and Witten
Friday, February 10, 2006
Baruch Feldman
"Gross-Witten Transitions Part II"
ref: Gross and Witten
Friday, February 17, 2006
Andy O'Bannon
"Large-N Yang-Mills on a 3-Sphere Part I"
ref: Aharony et. al.
Friday, February 24, 2006
George Newman
"Large-N Yang-Mills on a 3-Sphere Part II"
ref: Aharony et. al.
Friday, March 3, 2006
Can Kozcaz
"2D Gravity: String Matrix Models Part I"
ref: Ambjorn et. al., Ginsparg and Moore, section 5 of Polchinski
Friday, March 10, 2006
Adam Clark
"2D Gravity: String Matrix Models Part II"
ref: Ambjorn et. al., Ginsparg and Moore, section 5 of Polchinski
Friday, March 17, 2006
Jake Mannix
"Type 0 String Theory"
ref: Douglas et. al.