Okazaki, Tadashi (2015) Membrane quantum mechanics. Nuclear Physics B, 890 . pp. 400-441. ISSN 0550-3213. doi:10.1016/j.nuclphysb.2014.11.024. https://resolver.caltech.edu/CaltechAUTHORS:20141208-075828575
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Abstract
We consider the multiple M2-branes wrapped on a compact Riemann surface and study the arising quantum mechanics by taking the limit where the size of the Riemann surface goes to zero. The IR quantum mechanical models resulting from the BLG-model and the ABJM-model compactified on a torus are N=16 and N=12 superconformal gauged quantum mechanics. After integrating out the auxiliary gauge fields we find OSp(16|2) and SU(1,1|6) quantum mechanics from the reduced systems. The curved Riemann surface is taken as a holomorphic curve in a Calabi–Yau space to preserve supersymmetry and we present a prescription of the topological twisting. We find the N=8 superconformal gauged quantum mechanics that may describe the motion of two wrapped M2-branes in a K3 surface.
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| Additional Information: | © 2014 The Author. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/). Funded by SCOAP3. Received 9 November 2014, Revised 25 November 2014, Accepted 26 November 2014, Available online 28 November 2014. I am deeply indebted to Hirosi Ooguri for numerous discussions, valuable comments and stimulating suggestions on this project. I am grateful to Yu Nakayama and Satoshi Yamaguchi for helpful discussions and for sharing their insights throughout the course of this work. I would also like to thank Abhijit Gadde, Kazuo Hosomichi, Daniel L. Jafferis, Kazunobu Maruyoshi, Takuya Okuda, Du Pei, Pavel Putrov and Yuji Tachikawa for useful discussions and comments. This work was supported in part by JSPS fellowships for Young Scientists. | ||||||||||||
| Group: | Caltech Theory, Walter Burke Institute for Theoretical Physics | ||||||||||||
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| DOI: | 10.1016/j.nuclphysb.2014.11.024 | ||||||||||||
| Record Number: | CaltechAUTHORS:20141208-075828575 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20141208-075828575 | ||||||||||||
| Official Citation: | Tadashi Okazaki, Membrane quantum mechanics, Nuclear Physics B, Volume 890, January 2015, Pages 400-441, ISSN 0550-3213, http://dx.doi.org/10.1016/j.nuclphysb.2014.11.024. (http://www.sciencedirect.com/science/article/pii/S055032131400368X) | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 52447 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 08 Dec 2014 21:49 | ||||||||||||
| Last Modified: | 10 Nov 2021 19:41 |
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