(Potentially) Useful papers
Some reviews and lecture notes that might be useful
Generalized and non-invertible symmetries
- J. McGreevy, "Generalized Symmetries in Condensed Matter", arXiv:2204.03045 [cond-mat.str-el]
- P. R. S. Gomez, "An Introduction to Higher-Form Symmetries", arXiv:2305.18296 [hep-th]
- S. Schafer-Nameki, "ICTP Lectures on (Non-)Invertible Generalized Symmetries", arXiv:2305.18296 [hep-th]
- T. D. Brennan, S. Hong, "Introduction to Generalized Global Symmetries in QFT and Particle Physics", arXiv:2306.00912v2 [hep-ph]
- L. Bhardwaj, L. E. Bottini, L. Fraser-Taliente, L. Gladden, D. S.W. Gould, A. Platschorre, H. Tillim, "Lectures on Generalized Symmetries", arXiv:2307.07547v2 [hep-th]
- S.-H Shao, "TASI Lectures on Non-Invertible Symmetry", arXiv:2308.00747 [hep-th]
Condensed matter related
- D. Sénéchal, "An introduction to bosonization", arXiv:cond-mat/9908262 [cond-mat.str-el]
- A. Kitaev, C. Laumann, "Topological phases and quantum computation", arXiv:0904.2771 [cond-mat.mes-hall]
- E. Witten, "Three Lectures On Topological Phases Of Matter", arXiv:1510.07698 [cond-mat.mes-hall]
- R. M. Nandkishore, M. Hermele, "Fractons", arXiv:1803.11196 [cond-mat.str-el]
- R.Shankar, "Topological Insulators -- A review", arXiv:1804.06471 [cond-mat.str-el]
- A. J. Beekman, L. Rademaker, J. van Wezel, "An Introduction to Spontaneous Symmetry Breaking", arXiv:1909.01820 [hep-th]
- M. Pretko, X. Chen, Y. You, "Fracton Phases of Matter", arXiv:2001.01722 [cond-mat.str-el]
- J. McgGreevy, "Where do quantum field theories come from?", pdf
- B. Bradlyn, M. Iraola, "Lecture Notes on Berry Phases and Topology", arXiv:2111.08751 [cond-mat.mes-hall]
Quantum field theory related
- T. Hollowood, "6 Lectures on QFT, RG and SUSY", arXiv:0909.0859 [hep-th]
- M. Neubert, "Renormalization Theory and Effective Field Theories", arXiv:1901.06573 [hep-ph]
- R. Penco, "An Introduction to Effective Field Theories", arXiv:2006.16285 [hep-th]
- L. Alvarez-Gaume, M. A. Vazquez-Mozo, "Lectures on Field Theory and the Standard Model: A Symmetry-Oriented Approach", arXiv:2306.08097 [hep-th]
- V. Mastropietro, "Renormalization: general theory", arXiv:2312.11400 [hep-th]
Conformal field theory
- P. Ginsparg, "Applied Conformal Field Theory", arXiv:hep-th/9108028
- J. Cardy, "Conformal Field Theory and Statistical Mechanics", arXiv:0807.3472 [cond-mat.stat-mech]
String theory related
- M. Marino, "Chern-Simons Theory and Topological Strings", arXiv:hep-th/0406005
- A. Sen, "Tachyon Dynamics in Open String Theory", arXiv:hep-th/0410103
- B. Pioline, "Lectures on on Black Holes, Topological Strings and Quantum Attractors (2.0)", arXiv:hep-th/0607227
- C. Maccaferri, F. Marino, B. Valsesia, "Introduction to String Theory", arXiv:2311.18111 [hep-th]
Supersymmetry related
- E. Poppitz, S. P. Trivedi, "Dynamical Supersymmetry Breaking", arXiv:hep-th/9803107
- J. A. Harvey, "Magnetic Monopoles, Duality, and Supersymmetry", arXiv:hep-th/9603086
- K. Intriligator, N. Seiberg, "Lectures on Supersymmetry Breaking", arXiv:hep-ph/0702069
- S.S. Razamat, E. Sabag, O. Sela, G. Zafrir, "Aspects of 4d supersymmetric dynamics and geometry", arXiv:2203.06880 [hep-th]
Seiberg-Witten theory
- A. Bilal, "Duality in N=2 SUSY SU(2) Yang-Mills Theory: A pedagogical introduction to the work of Seiberg and Witten", arXiv:hep-th/9601007
- W. Lerche, "Introduction to Seiberg-Witten Theory and its Stringy Origin", arXiv:hep-th/9611190
- L. Alvarez-Gaume, S.F. Hassan, "Introduction to S-Duality in N=2 Supersymmetric Gauge Theory. (A pedagogical review of the work of Seiberg and Witten)", arXiv:hep-th/9701069
- K. Iga, "What do Topologists want from Seiberg--Witten theory? (A review of four-dimensional topology for physicists)", arXiv:hep-th/0207271
- M. Martone, "The constraining power of Coulomb Branch Geometry: lectures on Seiberg-Witten theory", arXiv:2006.14038 [hep-th]
Integrability
- A. Doikou, S. Evangelisti, G. Feverati, N. Karaiskos, "Introduction to Quantum Integrability", arXiv:0912.3350 [math-ph]
- A. L. Retore, "Introduction to classical and quantum integrability", arXiv:2109.14280 [hep-th]
Ostrogradsky's theorem
- R. P. Woodard, "The Theorem of Ostrogradsky", arXiv:1506.02210 [hep-th]
- A. Ganz, K. Noui, "Reconsidering the Ostrogradsky theorem: Higher-derivatives Lagrangians, Ghosts and Degeneracy", arXiv:2007.01063 [hep-th]
Other
- J. M. F. Labastida, C. Lozano, "Lectures in Topological Quantum Field Theory", arXiv:hep-th/9709192
- G. V. Dunne, "Aspects of Chern-Simons Theory", arXiv:hep-th/9902115
- C. Closset, "Toric geometry and local Calabi-Yau varieties: An introduction to toric geometry (for physicists)", arXiv:0901.3695 [hep-th]
- P. Kovtun, "Lectures on hydrodynamic fluctuations in relativistic theories", arXiv:1205.5040 [hep-th]
- G. W. Moore, "Physical Mathematics and the Future", pdf
- D. Grabovsky, "Chern-Simons Theory in A Knotshell", pdf
- Y. Matsuo, S. Nawata, G. Noshita, R.-D Zhu, "Quantum toroidal algebras and solvable structures in gauge/string theory", arXiv:2309.07596 [hep-th]