Okazaki, Tadashi (2015) Superconformal Quantum Mechanics from M2-branes. PhD thesis, California Institute of Technology. https://resolver.caltech.edu/CaltechAUTHORS:20150316-162934100
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Abstract
We discuss the superconformal quantum mechanics arising from the M2-branes. We begin with a comprehensive review on the superconformal quantum mechanics and emphasize that conformal symmetry and supersymmetry in quantum mechanics contain a number of exotic and enlightening properties which do not occur in higher dimensional field theories. We see that superfield and superspace formalism is available for N≤8 superconformal mechanical models. We then discuss the M2-branes with a focus on the world-volume descriptions of the multiple M2-branes which are superconformal three-dimensional Chern-Simons matter theories. Finally we argue that the two topics are connected in M-theoretical construction by considering the multiple M2-branes wrapped around a compact Riemann surface and study the emerging IR quantum mechanics. We establish that the resulting quantum mechanics realizes a set of novel N≥8 superconformal quantum mechanical models which have not been reached so far. Also we discuss possible applications of the superconformal quantum mechanics to mathematical physics.
| Item Type: | Thesis (PhD) | ||||||
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| Additional Information: | Submitted 12 March 2015. I would like to acknowledge kind support and help with deep appreciation and gratitude to many people. I owe a debt of appreciation to Hirosi Ooguri for continuous guidance during my days at Caltech over the past two and a half years. It goes without saying that my study and experiences at Caltech would not be possible if were not for his arrangement. Moreover this thesis would not have been completed without his suggestion and assistance. I cannot thank him enough for all that he has done for me. I was really happy to study at Caltech guided by whom I respect. I would like to express my gratitude to Yutaka Hosotani for always helping me to study at Caltech and consulting me when I am in trouble. His advice was always a useful resource for me. I am profoundly grateful to Satoshi Yamaguchi for continuing encouragement and innumerable discussions. Over the past five years, particularly in the first two and a half years I could learn many things through collaboration works and countless times of long hours of discussions with him. I am glad that I was able to start my study of string theory with him at Osaka University. It was my indelible memory to talk about physics and life with brilliant members and alumni at Caltech including, Hee-Joong Chung, Abhijit Gadde, Siqi He, Koji Ishiwata, Hyungrok Kim, Kazunobu Maruyoshi, Elena Murchikova, Yu Nakayama, Chan Youn Park, Ke Ye, Du Pei, Pavel Putrov and Wenbin Yan. I extend my attitude to my colleagues at Osaka University including Tetsuya Enomoto, Tomohiro Horita, Takuya Shimotani, Akinori Tanaka, Akio Tomiya. The study meeting continuing for a long stretch of time with them is a good memory now. I wish to thank Greg Marlowe, the house owner for sharing with me a nice place to live at Pasadena and for always encouraging me. I was often relaxed myself by talking with him. I would like to thank Carol Silberstein, the secretary at Caltech and Kumiko Nakayama, Keiko Takeda, the secretaries at Osaka University for arranging a lot of procedures so that I could do my research at Caltech. They are always kind and I was helped many times. Finally I am grateful to my parents for giving constant support to me. | ||||||
| Group: | Walter Burke Institute for Theoretical Physics | ||||||
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| Record Number: | CaltechAUTHORS:20150316-162934100 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20150316-162934100 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 55822 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Joy Painter | ||||||
| Deposited On: | 16 Mar 2015 23:46 | ||||||
| Last Modified: | 03 Oct 2019 08:08 |
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