Spring Workshop on Quantum Gravity

5th Intensive Lecture by Quantum Gravity Gatherings

2023 October 18, 19, 20 @ RIKEN, Wako, Japan

This is the fifth event hosted by the Quantum Gravity Gatherings (QGG) Study Group at RIKEN iTHEMS. For this event, we have invited Professor Shun'ya Mizoguchi from KEK, Tsukuba, to deliver pedagogical lectures on the F-theory and its relation to particle physics. We aim for this event to provide insights to researchers in related fields.

Originally, heterotic string theory was a promising candidate for describing our world, as it naturally incorporated Grand Unified Theory (GUT) based on an exceptional gauge group. However, heterotic theory encounters challenges in moduli fixing. On the other hand, type II theory has an advantage in moduli fixing, but realizing GUT proves to be challenging. The F-theory describes the strongly coupled type IIB string theory, fully utilizing string dualities. This theory appears to realize both the moduli fixing and GUT. Consequently, F-theory plays a central role in string phenomenology. Shun'ya is a leading expert in these areas. We are fortunate to have the opportunity to learn numerous insights into string theory as well as particle physics.

This intensive lecture series is designed to be an interactive event. To facilitate this, the number of participants will be limited to approximately 30. The intensive talk will be given in a face-to-face blackboard style (in English, no online streaming) to encourage informal and lively Q&A discussions. The program will also include short talk sessions, where participants can present a 5-minute talk on a topic of their choice, including their research, reviews of specific works, or future study interests.


Registration

Registration Form

Intensive Talk

Shun'ya Mizoguchi (KEK)
Title: Introduction to F-Theory

Abstract: F-theory is a framework of non-perturbative compactifications of type IIB string theory. It is non-perturbative in the sense that the string coupling varies with their position in the compactification space, in which strongly coupled and weakly coupled regions coexist and reside next to each other. Such a non-perturbative property can never be realized in the so-called "non-perturbative formulation of string theory" that does not have S-duality. Meanwhile, it is the key to realize a string GUT model and the inflation of the early universe in a single theoretical framework.

F-theory has often been misunderstood. For example, that it is a 12-dimensional theory, or that it is an esoteric theory that uses algebraic geometrical methods. While they are correct in a sense, the essence of F-theory is not there. In this lecture, while clearing up such misconceptions, I would like to explain the basic ideas and techniques from the very beginning to understand the essence of F-theory. The contents of the lecture will include:

  • "Stringy cosmic strings": The 1990 paper that foreshadowed F-theory
  • Kodaira's classification of the singular fibers in an elliptic surface
  • The concrete detail of the blowing-up procedure
  • Six-dimensional F-theory and duality to heterotic string theory
  • Type IIB / M-theory duality and F-theory limit
  • Introduction to toric geometry
  • Heterotic vector bundle and F-theory
  • Dessin on the base and "miamite method" to compute monodromy
  • Introduction to four-dimensional F-theory
  • Program

    October 18
    10.00~10.30 Registration and Coffee
    10.30~12.00 Lecture 1
    12.00~13.30 Lunch
    13.30~15.30 Lecture 2
    15.30~16.00 Coffee break
    16.00~17.30 Lecture 3
    17.30~18.30 Short talk session
    18.30~ Banquet

    October 19
    10.30~12.00 Lecture 4
    12.00~13.30 Lunch
    13.30~15.30 Lecture 5
    15.30~16.00 Coffee break
    16.00~17.30 Lecture 6

    October 20
    10.30~12.00 Lecture 7
    12.00~13.30 Lunch
    13.30~15.30 Lecture 8
    15.30~16.00 Coffee break
    16.00~17.30 Lecture 9

    Short talk program

    Place

    435-437 Seminar Room, 4F of Main Research Building, RIKEN Wako Campus

    Organizers

    Che-Yu Chen (iTHEMS)
    Yuta Hamada (KEK)
    Puttarak Jai-akson (iTHEMS)
    Christy Kelly (iTHEMS)
    Ryo Namba (iTHEMS)
    Toshifumi Noumi (The University of Tokyo)
    Naritaka Oshita (Kyoto Hakubi/iTHEMS)
    Sotaro Sugishita (YITP)
    Yuki Yokokura (iTHEMS)

    Contact: Yuta Hamada yhamada@post.kek.jp / Christy Kelly christy.kelly@riken.jp

    Sponsors

    iTHEMS