Archive for July 2021

For Summer!

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.
  • 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

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KLT Relations

Kawai-Lewellen-Tye Relation, see here, is a perfect tool to make connections between amplitudes. The most general of them is the relation between a tree gravity amplitude (from Einstein-Hilbert action) and a gauge theory amplitude (from Yang-Mills). We can also relate the closed strings amplitude and open strings amplitude using KLT. (Many connections are there for closed strings algebra and open strings. From a conversation with Ed Witten; Ed - The simplest is that they can be computed in similar ways by integral representations that come from the open or closed string).


From the paper (recommended);


and same paper (sec II, a short review);


More papers on this subject; here, here, and here.

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