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Last updated:

October 12, 2022

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

Description

This is a one-semester class about gauge/gravity duality (often called AdS/CFT) and its applications.

Course Curriculum

  • What you need to know about string theory Unlimited
  • D3-branes at small and large coupling Unlimited
  • AdS/CFT from scratch, no strings Unlimited
  • What holds up the throat? Unlimited
  • How to defend yourself from a supersymmetric field theory Unlimited
  • About the N = 4 SYM theory Unlimited
  • Big picture of correspondence; strings and strong interactions Unlimited
  • ’t Hooft counting Unlimited
  • Scale and conformal invariance in field theory Unlimited
  • CFT in D > 2 (cont.) Unlimited
  • Geometry of AdS Unlimited
  • Geometry of AdS (cont.); Poincaré patch; wave equation in AdS Unlimited
  • Masses of fields and dimensions of operators; BF-allowed tachyons Unlimited
  • How to compute two-point correlators of scalar operators Unlimited
  • Preview of real-time issues; two-point functions in momentum space (cont.); more on low-mass2 fields in AdS Unlimited
  • Three-point functions, anomalies; expectation values Unlimited
  • Wilson loops Unlimited
  • Wilson loops (cont.) Unlimited
  • Pointlike probes of the bulk; Baryons and branes in AdS; ‘Non-spherical horizons’ Unlimited
  • Brief survey of other examples of the correspondence (M2, M5, D1-D5, Dp, branes at singularities); a model of confinement Unlimited
  • Confinement (cont.): how to measure the spectrum, proof of mass gap Unlimited
  • Black hole mechanics, classical and quantum Unlimited
  • AdS black holes and thermal gauge theory; equation of state, free energy and stress tensor Unlimited
  • Hawking effect for interacting field theories and BH thermodynamics Unlimited
  • AdS black holes and thermal gauge theory: Polyakov-Susskind loop, screening, quasinormal modes, Hawking-page transition Unlimited

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Massachusetts Institute of Technology