Here, I include some important papers (or books) which one (if not already) should read in this Summer. (Of course, I can miss many great which I have read or haven't).
- Two-dimensional gravity and intersection theory on moduli space by Edward Witten - https://inspirehep.net/literature/307956. This work founds one of the pillar for later developments in JT gravity and Random Matrix theory.
- Large N field theories, string theory and gravity by O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri, and Y. Oz - http://arxiv.org/abs/hep-th/9905111. One of the best introductions to AdS/CFT and Large N Correspondence (and Gauge-String duality).
- S. Coleman, “Aspects of Symmetry: Selected Erice Lectures,” 1988.
- J. H. Schwarz, “Introduction to superstring theory,” NATO Sci. Ser. C 566 (2001) 143–187, arXiv:hep-ex/0008017.
- Three Lectures on Complexity and Black Holes by Leonard Susskind - https://arxiv.org/abs/1810.11563. Some theoretical computer science.
- A. Eskin and M. Mirzakhani, “Counting closed geodesics in Moduli space,” arXiv e-prints (Nov., 2008) , arXiv:0811.2362 [math.DS]. - It is a highly important work among many by Mirzakhani.
- P. H. Ginsparg, “APPLIED CONFORMAL FIELD THEORY,” in Les Houches Summer School in Theoretical Physics: Fields, Strings, Critical Phenomena. 9, 1988. arXiv:hep-th/9108028.
- M. B. Green, J. H. Schwarz, and E. Witten, SUPERSTRING THEORY. VOL. 1 and 2: INTRODUCTION. Cambridge Monographs on Mathematical Physics.
- G. ’t Hooft, “Large N,” arXiv:hep-th/0204069. Large N is nowadays bread and butter, so you must buy it.
I must repeat that this list is arbitrary but sure are of great help to me.
Happy Reading! - Aayush
Thanks to you