SES # | TOPICS | READING REFERENCES |
---|---|---|
1 | What you need to know about string theory | |
2 | D3-branes at small and large coupling | Large N Field Theories, String Theory and Gravity, section 1.1. |
3 | AdS/CFT from scratch, no strings | Gauge/Gravity Duality |
4 | What holds up the throat? | Physics of String Flux Compactifications |
5 | How to defend yourself from a supersymmetric field theory | Supersymmetric Gauge Theories and the AdS/CFT Correspondence, sections 2-4. |
6 | About the N = 4 SYM theory | Supersymmetric Gauge Theories and the AdS/CFT Correspondence, section 3. |
7 | Big picture of correspondence; strings and strong interactions |
Large N Field Theories, String Theory and Gravity, section 3.1.2. TASI Lectures on AdS/CFT, sections 2 and 3.0. |
8 | ’t Hooft counting |
Coleman’s `1/N’ paper (PDF - 1.3 MB)^{} Large N Field Theories, String Theory and Gravity, section 1.2. TASI Lectures on AdS/CFT, section 2. |
9 | Scale and conformal invariance in field theory |
Applied Conformal Field Theory Large N Field Theories, String Theory and Gravity, section 2.1. |
10 | CFT in D > 2 (cont.) | Same readings as previous lecture |
11 | Geometry of AdS |
Large N Field Theories, String Theory and Gravity, section 2.2. Kiritsis, Elias. String Theory in a Nutshell. Princeton, NJ: Princeton University Press, 2007, appendix K. ISBN: 9780691122304. TASI Lectures on AdS/CFT, section 2. |
12 | Geometry of AdS (cont.); Poincaré patch; wave equation in AdS |
Introduction to the Maldacena Conjecture on AdS/CFT, section 2. TASI Lectures on AdS/CFT, section 3. |
13 | Masses of fields and dimensions of operators; BF-allowed tachyons |
TASI Lectures on AdS/CFT, section 4. Large N Field Theories, String Theory and Gravity, section 3.3. |
14 | How to compute two-point correlators of scalar operators |
TASI Lectures on AdS/CFT, section 4. Large N Field Theories, String Theory and Gravity, section 3.3. Gauge Theory Correlators from Non-Critical String Theory Anti De Sitter Space And Holography, sections 2.4 and 2.5. |
15 | Preview of real-time issues; two-point functions in momentum space (cont.); more on low-mass^{2} fields in AdS |
Same readings as previous lecture |
16 | Three-point functions, anomalies; expectation values |
Large N Field Theories, String Theory and Gravity, sections 3.2.2 and 3.3.2. Supersymmetric Gauge Theories and the AdS/CFT Correspondence, sections x8.4 and 8.5. Correlation Functions in the CFT(d)/AdS(d+1) Correspondence Anti De Sitter Space And Holography, sections 2.4 and 2.5. |
17 | Wilson loops |
Kiritsis, Elias. String Theory in a Nutshell. Princeton, NJ: Princeton University Press, 2007, section 13.9. ISBN: 9780691122304. Large N Field Theories, String Theory and Gravity, section 3.5. |
18 | Wilson loops (cont.) |
Same readings as previous lecture Wilson Loops and Minimal Surfaces The Operator Product Expansion for Wilson Loops and Surfaces in the Large N Limit |
19 | Pointlike probes of the bulk; Baryons and branes in AdS; ‘Non-spherical horizons’ |
Large N Field Theories, String Theory and Gravity, sections 3.5.2, 4.1, and 4.2. Conformal Anomaly Of Submanifold Observables In AdS/CFT Correspondence |
20 | Brief survey of other examples of the correspondence (M2, M5, D1-D5, Dp, branes at singularities); a model of confinement |
Large N Field Theories, String Theory and Gravity, sections 4.1, 6.1, and 6.2. Supergravity and The Large N Limit of Theories With Sixteen Supercharges TASI Lectures on AdS/CFT, section 6. |
21 | Confinement (cont.): how to measure the spectrum, proof of mass gap |
Anti-de Sitter Space, Thermal Phase Transition, And Confinement In Gauge Theories Large N Field Theories, String Theory and Gravity, section 6.2. TASI Lectures on AdS/CFT, section 6. |
22 | Black hole mechanics, classical and quantum |
Introductory Lectures on Black Hole Thermodynamics, sections 2 and 3 (PS). Black Holes, chapter 6. |
23 | AdS black holes and thermal gauge theory; equation of state, free energy and stress tensor | No references |
24 | Hawking effect for interacting field theories and BH thermodynamics |
Introductory Lectures on Black Hole Thermodynamics, section 3 (PS). Susskind, Leonard, and James Lindesay. An Introduction to Black Holes, Information, and the String Theory Revolution: The Holographic Universe. Hackensack, NJ: World Scientific, 2004, chapter 3. ISBN: 9789812560834. |
25 | AdS black holes and thermal gauge theory: Polyakov-Susskind loop, screening, quasinormal modes, Hawking-page transition |
Large N Field Theories, String Theory and Gravity, section 3.6. Anti-de Sitter Space, Thermal Phase Transition, And Confinement In Gauge Theories |
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