Andrei Starinets

Introduction to Gauge-String Duality


The course assumes some prior (and very basic) knowledge of general relativity, quantum field theory, string theory, statistical physics, kinetic theory and mathematical physics. All necessary ingredients will be introduced in lectures and you will be asked to explore them further using the list of recommended literature and other sources (see below). Prior knowledge of Mathematica software package is helpful (but you can learn it along the way).


Duality in lattice models and field theory

Black holes thermodynamics

Elements of string theory

Constructing gauge-string duality

Elements of relativistic fluid dynamics

Holographic methods in near-equilibrium physics


Recommended books, reviews, articles

RGTC Mathematica package description

Problem Sets

Tutor: Nikola Ivanov Gushterov (Peierls Centre for Theoretical Physics, nikola.gushterov AT

Problem Set I

Problem Set II

Problem Set III

Problem Set IV

Problem Set V

Somewhat decoherent set of old lecture notes

Lecture 1

Lecture 2

Lecture 3

Lecture 4

Lecture 5

Lecture 6

Lecture 7

Lecture 8

Additional lecture (Crete-2)

Moscow State University Lecture Notes (in Russian)

Lecture 1: Введение, мотивировка

Lecture 2: Дуальность - примеры

Lecture 3: Дуальность Крамерса-Ванье

Lecture 4: Элементы ОТО и термодинамики черных дыр

Lecture 5: Элементы теории струн

Lecture 4

Lecture 4

Lecture 4

Lecture 4

Lecture 4