＜＜＜「@」を「__AT__」に置き換えています＞＞＞ Date: Sat, 6 Sep 2025 18:27:56 +0900 To: sg-l__AT__yukawa.kyoto-u.ac.jp Subject: [Sg-l:9670] Daniele Dorigoni氏によるレクチャー"Modular Structures in N=4 supersymmetric Yang-Mills theory"のお知らせ（9/18-9/19 理研和光） From: Honda Masazumi (Sg-l 経由)素粒子論グループの皆様、 理研iTHEMSの本多正純です。 Durham大学のDaniele Dorigoni氏によるレクチャーを以下の要領で開催します： --------------------------------- 日程：9/18-9/19 14:30-17:30 会場：理化学研究所和光キャンパス 研究本館359 とzoomのハイブリッド Title: Modular Structures in N=4 supersymmetric Yang-Mills theory （abstractは末尾） 言語：英語 --------------------------------- 学会の日程と重なっていますが、ご興味のある方はご参加ください。 およその人数の把握とzoom情報の周知のため、外部で参加される方は9/16までに以下よりご登録お願い致します： https://docs.google.com/forms/d/e/1FAIpQLSdNFMqZ5Gv-ieLd3MCEo1G4hkmVITVrXzBE3DnSm57I-xEdAg/viewform?usp=dialog なお、この講義は今月開催予定の国際会議"Japan-UK Workshop on Quantum Gravity"における複数の講演の導入的な内容となっています： https://indico.global/event/15094/ 以上、 よろしくお願い致します。 本多正純 ----------------- Abstract: In this lecture series we present recent results in the study of exact correlation functions of half-BPS operators in N=4 supersymmetric Yang-Mills theory (SYM) averaged over the space-time insertion points. After presenting some basic properties of 1/2-BPS operators in N=4 SYM, we review how these integrated correlation functions can be obtained from a matrix model formulation of the N=4 path-integral. We then move to present two different integrated correlation functions of four superconformal primary operators of the stress-tensor multiplet which are holographically related to scattering amplitudes of 4-gravitons in type IIB superstring theory on an AdS_5 x S^5 background. We derive exact expressions both in the number of colours N, as well as in the complexified Yang-Mills coupling \tau. A key player in our discussion is electro-magnetic duality of N=4 SYM which provides strong constraints on the coupling dependence of such observables which, in particular, have to be real-analytic modular invariant functions of \tau. We then discuss the large-N fixed-\tau limit to show how these results can be interpreted on the dual stringy side. We also present some details on how these integrated correlator can be used to supplement the standard bootstrap approach leading to exciting coupling dependent bounds on the anomalous dimensions of non-protected operators in N=4 SYM, such as the Konishi operator. Lastly, we discuss an integrated correlation function involving two superconformal primary operators in the stress tensor multiplet in the presence of a half-BPS line defect operator, such as a Wilson line. Electro-magnetic duality is again fundamental in understanding the exact dependence from the coupling constant \tau. ----------- ------------------------------------------------------------------------------------------------- Masazumi Honda (本多正純), Senior Research Scientist, RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS) 2-1 Hirosawa, Wako, Saitama 351-0198, Japan Visiting Professor (concurrent), Graduate School of Science and Engineering, Saitama University, 255 Shimo-Okubo, Sakura-ku, Saitama 338-8570, Japan mail: masazumi318__AT__gmail.com , masazumi.honda__AT__riken.jp