[1] Tadakatsu Sakai and Masashi Zenkai, “Comments on contact terms and conformal manifolds in the AdS/CFT correspondence,”Prog. Theor. Exp. Phys. 2020, 013B02, doi:10.1093/ptep/ptaa164 [hep-th/2010.06106]
[2] N. Seiberg, “Observations on the Moduli Space of Superconformal Field Theories,” Nucl. Phys. B 303, 286 (1988). doi:10.1016/0550-3213(88)90183-6
[3] D. Kutasov,“Geometry on the Space of Conformal Field Theories and Contact Terms,”Phys. Lett. B 220, 153 (1989). doi:10.1016/0370-2693(89)90028-2 arXiv:1408.3393/hep-th
[4] O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, “Large N field theories, string theory and gravity,” Phys. Rept. 323, 183 (2000) [hep-th/9905111].
[5] K. Wilson, J. Kugut, “The renormalization group and the ϵ expansion,” Phys. Rept. 12,75, (1974).
[6] A. B. Zamolodchikov, “Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory,” JETP Lett. 43, 730 (1986) [Pisma Zh. Eksp. Teor. Fiz. 43, 565 (1986)].
[7] J. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2 (1998) 231, [hep-th/9711200]
[8] Leo P. Kadanoff, “Operator Algebra and The Determination Of Critical Indices,” Phys. Rev. Lett. 23, 1430 (1969)
[9] Paul Ginsparg,“Applied Conformal Field Theory,” Les Houches Summer School in Theoretical Physics: Fields, Strings, Critical Phenomena, 1-168 [hep-th/9108028]
[10] Igor R. Klebanov and Edward Witten, “AdS/CFT Correspondence and Symmetry Breaking,” Nucl.Phys. B 556, 89 (1999)[hep-th/9905104]
[11] P. Breitenlohner and D.Z. Freedman, “Stability in Gauged Extended Supergravity”, Ann. Phys. 144 (1982) 249.
[12] H. Liu and A. A. Tseytlin, “On four point functions in the CFT / AdS correspondence,” Phys. Rev. D 59, 086002 (1999) doi:10.1103/PhysRevD.59.086002 [hep-th/9807097].
[13] E. D’Hoker, D. Z. Freedman, S. D. Mathur, A. Matusis and L. Rastelli, “Graviton exchange and complete four point functions in the AdS / CFT correspondence,” Nucl. Phys. B 562, 353 (1999) doi:10.1016/S0550-3213(99)00525-8 [hep-th/9903196].
[14] Eric D’Hoker and Daniel Z. Freedman, “Supersymmetric Gauge Theories and the AdS/CFT Correspondence,” TASI 2001 Lecture Notes [hep-th/0201253]
[15] Gordon Chalmers and Koenraad Schalm, “The large Nc limit of four-point functions in N = 4 super-Yang-Mills theory from anti-de Sitter Supergravity,” [hep-th/9810051]
[16] Daniel Z. Freedman, Samir D. Mathur, Alec Matusis and Leonardo Rastelli, “Comments on 4-point functions in the CFT/AdS correspondence,” Phys. Lett. B 452:61-68,1999, doi: 10.1016/S0370- 2693(99)00229-4 [hep-th/9808006]
[17] D. Z. Freedman, S. D. Mathur, A. Matusis and L. Rastelli, “Correlation functions in the CFT(d)/AdS(d + 1) correspondence,” Nucl. Phys. B 546 (1999) 96 [arXiv:hep-th/9804058]
[18] W. M¨uck and K. S. Viswanathan, “Conformal Field Theory from Classical Scalar Field Theory on AdSd+1,” Phys. Rev. D 58, 041901 (1998), doi:10.1103/PhysRevD.58.041901 [hep-th/9804035]
[19] S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “Gauge Theory Correlators from Non-Critical String Theory,” Phys.Lett.B 428,105 (1998), doi:10.1016/S0370-2693(98)00377-3 [hep-th/9802109]
[20] E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2, 253 (1998) doi:10.4310/ATMP.1998.v2.n2.a2 [hep-th/9802150]
[21] Daniel Z. Freedman, Kenneth Johnson, Jos´e I. Latorre, “Differential regularization and renormalization : a new method of calculation in quantum field theory,” Nuclear Physics B 371 (1992) 353
[22] J. de Boer, E. P. Verlinde and H. L. Verlinde, “On the holographic renormalization group,” JHEP 0008, 003 (2000) doi:10.1088/1126-6708/2000/08/003 [hep-th/9912012]
[23] J. de Boer, “The Holographic Renormalization Group,” Fortsch. Phys. 49 (2001) 339-358 [hepth/0101026]
[24] M. Fukuma, S. Matsuura and T. Sakai, “Holographic renormalization group,” Prog. Theor. Phys. 109, 489 (2003) doi:10.1143/PTP.109.489 [hep-th/0212314].
[25] E. D’Hoker, S. D. Mathur, A. Matusis and L. Rastelli,“The Operator product expansion of N = 4 SYM and the 4-point functions of supergravity,” Nucl. Phys. B 589, 38 (2000) doi:10.1016/S0550- 3213(00)00523-X [hep-th/9911222].
[26] V. Bashmakov, M. Bertolini and H. Raj,“On non-supersymmetric conformal manifolds: field theory and holography,”JHEP 1711, 167 (2017) doi:10.1007/JHEP11(2017)167 [arXiv:1709.01749 [hep-th]]
[27] Connor Behan, “Conformal manifolds: ODEs from OPEs,” J. High Energy Phys. 1803, 127 (2018) [arXiv:1709.03967 [hep-th]].
[28] K. Sen and Y. Tachikawa, “First-order conformal perturbation theory by marginal operators,” arXiv:1711.05947 [hep-th]
[29] David Berenstein, Alexandra Miller, “Conformal perturbation theory, dimensional regularization, and AdS/CFT correspondence,” D. Berenstein and A. Miller, Phys. Rev. D 90, 086011 (2014) [arXiv:1406.4142 [hep-th]]
[30] A. M. Polyakov, “Conformal Symmetry of Critical Fluctuations,” JETP Lett. 12 381(1970)
[31] A. A. Belavin, A. M. Polyakov, A. B. Zamolodchikov, “Infinite conformal symmetry in twodimensional quantum field theory,” Nucl. Phys. B 241 (1984) 333
[32] M. Green, J. Schwarz and E. Witten, “Superstring Theory,” Cambridge University Press, New York, 1987.
[33] G. W. Gibbons and S. W. Hawking, “Action integrals and partition functions in quantum gravity,” Phys. Rev. D 15, 2752.
[34] J. Wess and J, Bagger, “Supersymmetry and Supergravity, 2nd ed.”, Princeton N.J., Princeton University Press, 1992.
[35] E. Fradkin and M. Palchik, “Conformal Quantum Field Theory in D-dimensions,” Kluwer Academic Publishers, Dordrecht, 1996.
[36] Kostas Skenderis, “Lecture Notes on Holographic Renormalization,” Class. Quant. Grav. 19, 5849, 2002, [hep-th/0209067]
[37] Charles W. Misner, Kip S. Thorne, John Archibald Wheeler, “Gravitation,” Princeton University Press.
[38] M. Nakahara, “Geometry, Topology And Physics,” Second Edition, CRC Press.
[39] Michael E. Peskin, Daniel V. Schroder “An Introduction to Quantum Field Theory,” Perseus Books, 1995.
[40] 青木, 健一, “くりこみ とくりこみ群の意味,” 科研費総合研究 A「素粒子模型とゲージ理論」研究会「素粒子論の基礎的課題-90 年代をめざして」研究会報告, doi:10.24532/soken.80.4 D51
[41] 高橋和孝, 西森秀稔, “相転移・臨界現象と繰り込み群,” 丸善出版.
[42] 久後汰一郎, “ゲージ場の量子論 I,” 新物理学シリーズ 23, 培風館.
[43] H. ジョージアイ, 久後汰一郎 訳, “物理学におけるリー代数,” 原著第 2 版, 物理学選書 107, 吉岡書店.
[44] 江口徹, 菅原裕二, “共形場理論” 岩波書店
[45] 浜田賢二, “D ≥ 3 共形場理論の最近の発展”
[46] 佐々木節, “一般相対論,” 物理学教科書シリーズ, 産業図書
[47] 夏梅誠, “超弦理論の応用 ,” SGC ライブラリ 93, サイエンス社
[48] 高柳匡, “ホログラフィー原理と量子エンタングルメント ,” SGC ライブラリ 106, サイエンス社
[49] 福間将文, 酒谷雄峰, “重力とエントロピー,” SGC ライブラリ 112, サイエンス社
[50] 森口繁一, 宇田川 久, 一松信, “岩波数学公式 II 級数・フーリエ解析,” 岩波書店.
[51] 森口繁一, 宇田川 久, 一松信, “岩波数学公式 III 特殊関数,” 岩波書店.