### Transcription of Lectures on Quantum Gravity and Black Holes

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**Lectures** on **Quantum** **Gravity** and **Black** HolesThomas HartmanCornell UniversityPlease email corrections and suggestions to: are the lecture notes for a one-semester graduate course on blackholes and **Quantum** **Gravity** . We start with **Black** hole thermodynamics, Rindler space,Hawking radiation, Euclidean path integrals, and conserved quantities in General Rel-ativity. Next, we rediscover the AdS/CFT correspondence by scattering fields off near-extremal **Black** **Holes** . The final third of the course is on AdS/CFT, including correlationfunctions, **Black** hole thermodynamics, and entanglement entropy. The emphasis is onsemiclassical **Gravity** , so topics like string theory, D-branes, and super-Yang Mills arediscussed only very Physics 7661, Spring 2015 PrereqsThis course is aimed at graduate students who have taken 1-2 semesters ofgeneral relativity (including: classical **Black** **Holes** , Penrose diagrams, and the Einsteinaction) and 1-2 semesters of **Quantum** field theory (including: Feynman diagrams, pathintegrals, and gauge symmetry.)

1 The problem of quantum **gravity** These are lectures on quantum **gravity**. To start, we better understand clearly what problem we are trying to solve when we say ‘quantum **gravity**.’ At low energies, the classical action is **S**= 1 16ˇG N Z p g(R 2 + L matter) : (1.1) Why not just quantize this action? The answer of course is that it is not ...

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