# Lecture notes and Reviews

This page is under construction. My idea is to put here a selection of *recent* review papers and lecture notes on specific topics I'm interested in. "Recent" is of course a relative concept, but this is why I don't include famous lecture notes like Polchinski's famous *Lectures on D-branes*, nor Intriligator and Seiberg's *Lectures on supersymmetric gauge theories and electric-magnetic duality*, although of course both are excellent.

### Holography

- TASI lectures on AdS/CFT, by Joao Penedones. The approach taken here is to consider holography as a natural, of not the only, approach to quantum gravity. Supersymmetry and string theory are avoided as much as possible -- in fact, their main advantage is that they provide explicit examples, but otherwise they are not crucial ingredients of the much more general holographic approach to gravity.
- TASI Lectures on the Higher Spin - CFT duality, by Simone Giombi. The approach taken here is to consider holography as a natural, of not the only, approach to quantum gravity. Supersymmetry and string theory are avoided as much as possible -- in fact, their main advantage is that they provide explicit examples, but otherwise they are not crucial ingredients of the much more general holographic approach to gravity.
- Lectures on AdS/CFT from the Bottom Up, by Jared Kaplan. A good set of lecture notes, where again the word "supersymmetry" barely appears once. Free fields, and more general free theories are discussed. Large black holes in AdS are seen as CFT states. Also, conformal theories with no local stress-energy tensor are discussed.
- Holographic duality with a view toward many-body physics, by John McGreevy. The bold assertion in those lectures is that
- Some ordinary quantum field theories (QFTs) are secretly quantum theories of gravity.
- Sometimes the gravity theory is classical, and therefore we can use it to compute interesting observables of the QFT.

- The Kerr/CFT correspondence and its extensions: a comprehensive review, by Geoffrey Compère.
- TASI Lectures on Applications of Gauge/Gravity Duality, by Oliver DeWolfe.
- TASI Lectures on the Emergence of the Bulk in AdS/CFT, by Daniel Harlow.
- Holographic quantum matter, by Sean A. Hartnoll, Andrew Lucas, Subir Sachdev. This has actually been published just a few months ago (March 2018) as a book.

### Conformal Field Theory ($d>2$)

- TASI Lectures on the Conformal Bootstrap, by David Simmons-Duffin.

### Conformal Field Theory ($d=2$)

- Conformal Field Theory, by A.N. Schellekens. This is a detailed introduction to CFT mainly in two dimensions. It introduces extensions of the Virasoro algebra, in particular Kac-Moody algebras.

### F-theory

- TASI Lectures on F-theory, by Timo Weigand.
- Top Down Approach to 6D SCFTs, by Jonathan J. Heckman, Tom Rudelius. This is a summary of the results obtained by the authors in the last 5 years or so, about a complete classification of six-dimensional SCFTs using F-theory.

### Other

- Lectures on Yangian Symmetry, by Florian Loebbert.
- A pedagogical explanation for the non-renormalizability of gravity, by Assaf Shomer.
- A hint of renormalization, by Bertrand Delamotte.
- String theory and the 4D/3D reduction of Seiberg duality. A Review, by Antonio Amariti, Domenico Orlando, Susanne Reffert.
- A brief review of E theory, by Peter West.
- Localization techniques in quantum field theories, by Vasily Pestun, Maxim Zabzine, Francesco Benini, Tudor Dimofte, Thomas T. Dumitrescu, Kazuo Hosomichi, Seok Kim, Kimyeong Lee, Bruno Le Floch, Marcos Marino, Joseph A. Minahan, David R. Morrison, Sara Pasquetti, Jian Qiu, Leonardo Rastelli, Shlomo S. Razamat, Silvu S. Pufu, Yuji Tachikawa, Brian Willett, Konstantin Zarembo. This is a monumental collaborative work, which reviews the localization technique and its applications in supersymmetric gauge theories.
- Advanced Lectures in General Relativity, by Geoffrey Compère, Adrien Fiorucci.
- Lectures on the Infrared Structure of Gravity and Gauge Theory, by Andrew Strominger.