8.821 String Theory and Holographic Duality (Fall 2014, MIT OCW): Lecture 23 - Duality at a Finite Temperature and Finite Chemical Potential

8.821 String Theory and Holographic Duality

8.821 String Theory and Holographic Duality (Fall 2014, MIT OCW). Instructor: Professor Hong Liu. This string theory course focuses on holographic duality (also known as gauge/gravity duality or AdS/CFT) as a novel method of approaching and connecting a range of diverse subjects, including quantum gravity/black holes, QCD at extreme conditions, exotic condensed matter systems, and quantum information. (from ocw.mit.edu)

Lecture 23 - Duality at a Finite Temperature and Finite Chemical Potential

In this lecture, Prof. Liu first discusses an important prediction of the duality for a boundary field theory at a finite temperature: Hawking-page transition, i.e. a finite temperature boundary system should exhibit a first order phase transition as the temperature is raised in the large N limit. Near the end, he briefly discusses how the duality works if the boundary system has a finite chemical potential.

Go to the Course Home or watch other lectures:

Lecture 01 - Emergence of Gravity

Lecture 02 - Classical Black Hole Geometry

Lecture 03 - Causal Structure of a Black Hole and Black Hole Temperature

Lecture 04 - Physical Interpretation of Black Hole Temperature

Lecture 05 - Black Hole Thermodynamics

Lecture 06 - Holographic Principle

Lecture 07 - Structure of Large-N Expansion

Lecture 08 - Large-N Expansion as a String Theory, Part I

Lecture 09 - Large-N Expansion as a String Theory, Part II

Lecture 10 - Basics of String Theory and Light-cone Gauge

Lecture 11 - String Theory in the Light-Cone Gauge