リケラボ論文検索は、全国の大学リポジトリにある学位論文・教授論文を一括検索できる論文検索サービスです。

リケラボ 全国の大学リポジトリにある学位論文・教授論文を一括検索するならリケラボ論文検索大学・研究所にある論文を検索できる

リケラボ 全国の大学リポジトリにある学位論文・教授論文を一括検索するならリケラボ論文検索大学・研究所にある論文を検索できる

大学・研究所にある論文を検索できる 「Special flow equation and the GKP–Witten relation」の論文概要。リケラボ論文検索は、全国の大学リポジトリにある学位論文・教授論文を一括検索できる論文検索サービスです。

コピーが完了しました

URLをコピーしました

論文の公開元へ論文の公開元へ
書き出し

Special flow equation and the GKP–Witten relation

Aoki, Sinya Balog, Janos Onogi, Tetsuya Yokoyama, Shuichi 京都大学 DOI:10.1093/ptep/ptad002

2023.01

概要

We develop a framework for the reconstruction of the bulk theory dual to conformal field theory without any assumption by means of a flow equation. To this end we investigate a minimal extension of the free-flow equation and find that at a special parametrization the conformal transformation for a normalized smeared operator exactly becomes the isometry of anti-de Sitter space (AdS). By employing this special flow equation for O(N) vector models, we explicitly show that the AdS geometry as well as the scalar field satisfying the GKP–Witten relation concurrently emerge in this framework.

参考文献

[1] J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998) [arXiv: hep-th/9711200] [Search inSPIRE].

[2] S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B 428, 105 (1998) [arXiv: hepth/9802109] [Search inSPIRE].

[3] E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998) [arXiv:hep-th/9802150] [Search inSPIRE].

[4] I. Heemskerk and J. Polchinski, J. High Energy Phys. 1106, 031 (2011) [arXiv:1010.1264] [Search

inSPIRE].

[5] O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri, and Y. Oz, Phys. Rept. 323, 183 (2000)

[arXiv: hep-th/9905111] [Search inSPIRE].

[6] E. D’Hoker and D. Z. Freedman, Supersymmetric gauge theories and the AdS/CFT correspondence, in Theoretical Advanced Study Institute in Elementary Particle Physics (TASI 2001):

Strings, Branes and EXTRA Dimensions, p. 3 (World Scientific, Singapore, 2002) [arXiv: hepth/0201253] [Search inSPIRE].

[7] K. Skenderis, Classical Quantum Gravity 19, 5849 (2002) [arXiv: hep-th/0209067] [Search inSPIRE].

[8] M. K. Benna, I. R. Klebanov, and L. Houches, The Les Houches 2007 summer school “String

Theory and the Real World” 87, 611 (2008) [arXiv:0803.1315] [Search inSPIRE].

[9] D. Harlow, PoS TASI2017, 002 (2018) [arXiv:1802.01040] [Search inSPIRE].

[10] N. Kajuri, SciPost Phys. Lect. Notes 22, 1 (2021) [arXiv:2003.00587] [Search inSPIRE].

[11] S. Aoki, K. Kikuchi, and T. Onogi, Prog. Theor. Exp. Phys. 2015, 101B01 (2015) [arXiv:1505.00131]

[Search inSPIRE].

[12] S. Aoki, J. Balog, T. Onogi, and P. Weisz, Prog. Theor. Exp. Phys. 2016, 083B04 (2016)

[arXiv:1605.02413] [Search inSPIRE].

[13] S. Aoki, J. Balog, T. Onogi, and P. Weisz, Prog. Theor. Exp. Phys. 2017, 043B01 (2017)

[arXiv:1701.00046] [Search inSPIRE].

[14] S. Aoki and S. Yokoyama, Prog. Theor. Exp. Phys. 2018, 031B01 (2018) [arXiv:1707.03982] [Sear

ch inSPIRE].

[15] S. Aoki and S. Yokoyama, Nucl. Phys. B 933, 262 (2018) [arXiv:1709.07281] [Search inSPIRE].

[16] S. Aoki, J. Balog, and S. Yokoyama, Prog. Theor. Exp. Phys. 2019, 043 (2019) [arXiv:1804.04636.]

[Search inSPIRE].

[17] S. Aoki, T. Onogi, and S. Yokoyama, Phys. Lett. B 814, 136104 (2021) [arXiv:2004.03779] [Search

inSPIRE].

[18] D. Kabat, G. Lifschytz, and D. A. Lowe, Phys. Rev. D 83, 106009 (2011) [arXiv:1102.2910] [Sear

ch inSPIRE].

8/9

Downloaded from https://academic.oup.com/ptep/article/2023/1/013B03/6982933 by Kyoto University user on 18 April 2023

Acknowledgements

This work is supported in part by Grants-in-Aid of the Japanese Ministry of Education, Sciences

and Technology, Sports and Culture (MEXT) for Scientific Research (Nos. JP16H03978, JP18K03620,

JP18H05236, JP19K03847, JP22H00129), and by the NKFIH grant K134946. J.B. acknowledges support from the International Research Unit of Quantum Information (QIU) of the Kyoto University Research Coordination Alliance, and would also like to thank the Yukawa Institute for Theoretical Physics

at Kyoto University, where most of this work was carried out, for support and hospitality from the longterm visitor program. T.O. would like to thank YITP for their kind hospitality during his stay for the

sabbatical leave from his home institute.

PTEP 2023, ptad002

S. Aoki et al.

9/9

Downloaded from https://academic.oup.com/ptep/article/2023/1/013B03/6982933 by Kyoto University user on 18 April 2023

[19] M. Botta-Cantcheff, P. Martínez, and G. A. Silva, J. High Energy Phys. 1602, 171 (2016)

[arXiv:1512.07850] [Search inSPIRE].

[20] D. Kabat and G. Lifschytz, J. High Energy Phys. 1509, 059 (2015) [arXiv:1505.03755] [Search inSP

IRE].

[21] A. Christodoulou and K. Skenderis, J. High Energy Phys. 1604, 096 (2016) [arXiv:1602.02039]

[Search inSPIRE].

[22] I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic Press, New

York, 2014).

[23] S. Aoki, J. Balog, S. Yokoyama, and K. Yoshida, Phys. Rev. Res. 2, 013169 (2020)

[arXiv:1910.11032] [Search inSPIRE].

[24] A. Hamilton, D. N. Kabat, G. Lifschytz, and D. A. Lowe, Phys. Rev. D 74, 066009 (2006)

[arXiv:hep-th/0606141] [Search inSPIRE].

[25] I. Papadimitriou and K. Skenderis, IRMA Lect. Math. Theor. Phys. 8, 73 (2005) [arXiv: hepth/0404176] [Search inSPIRE].

[26] M. S. Costa, J. Penedones, D. Poland, and S. Rychkov, J. High Energy Phys. 1111, 154 (2011)

[arXiv:1109.6321] [Search inSPIRE].

[27] M. S. Costa, J. Penedones, D. Poland, and S. Rychkov, J. High Energy Phys. 1111, 071 (2011)

[arXiv:1107.3554] [Search inSPIRE].

[28] O. Aharony, S. M. Chester, and E. Y. Urbach, J. High Energy Phys. 2103, 208 (2021)

[arXiv:2011.06328] [Search inSPIRE].

[29] S. Terashima, J. High Energy Phys. 1802, 019 (2018) [arXiv:1710.07298] [Search inSPIRE].

[30] S. Aoki and J. Balog, J. High Energy Phys. 2022, 015 (2022) [arXiv:2112.04326] [Search inSPIRE].

[31] S. Bhowmick, K. Ray, and S. Sen, J. High Energy Phys. 2017, 1 (2017).

[32] I. R. Klebanov and A. M. Polyakov, Phys. Lett. B 550, 213 (2002) [arXiv:hep-th/0210114] [Search

inSPIRE].

...

参考文献をもっと見る

全国の大学の
卒論・修論・学位論文

一発検索!

この論文の関連論文を見る