[1] K. Kikkawa and M. Yamasaki, “Casimir effects in superstring theories,” Physics Letters B 149 no. 4-5, (1984) 357–360.
[2] T. H. Buscher, “A symmetry of the string background field equations,” Physics Letters B 194 no. 1, (1987) 59–62.
[3] T. H. Buscher, “Path-integral derivation of quantum duality in nonlinear sigma-models,” Physics Letters B 201 no. 4, (1988) 466–472.
[4] A. Dabholkar and C. Hull, “Duality twists, orbifolds, and fluxes,” Journal of High Energy Physics 2003 no. 09, (2003) 054.
[5] A. Flournoy, B. Wecht, and B. Williams, “Constructing nongeometric vacua in string theory,” Nuclear Physics B 706 no. 1-2, (2005) 127–149.
[6] J. Shelton, W. Taylor, and B. Wecht, “Nongeometric flux compactifications,” Journal of High Energy Physics 2005 no. 10, (2005) 085.
[7] W. Siegel, “Superspace duality in low-energy superstrings,” Physical Review D 48 no. 6, (1993) 2826.
[8] W. Siegel, “Manifest duality in low-energy superstrings,” in International conference on strings, vol. 93, pp. 353–363. 1993.
[9] C. Hull and B. Zwiebach, “Double field theory,” Journal of High Energy Physics 2009 no. 09, (2009) 099.
[10] G. Arutyunov, S. Frolov, B. Hoare, R. Roiban, and A. A. Tseytlin, “Scale invariance of the η-deformed ads5× s5 superstring, t-duality and modified type ii equations,” Nuclear Physics B 903 (2016) 262–303.
[11] Y. Sakatani, S. Uehara, and K. Yoshida, “Generalized gravity from modified dft,” Journal of High Energy Physics 2017 no. 4, (2017) 1–34.
[12] J.-i. Sakamoto, Y. Sakatani, and K. Yoshida, “Weyl invariance for generalized supergravity backgrounds from the doubled formalism,” Progress of Theoretical and Experimental Physics 2017 no. 5, (2017) .
[13] J. J. Fern´andez-Melgarejo, J.-i. Sakamoto, Y. Sakatani, and K. Yoshida, “Weyl invariance of string theories in generalized supergravity backgrounds,” Physical review letters 122 no. 11, (2019) 111602.
[14] D. Geissb¨uhler, “Double field theory and n=4 gauged supergravity,” Journal of High Energy Physics 2011 no. 11, (2011) 1–26.
[15] G. Aldazabal, W. Baron, D. Marques, and C. Nunez, “The effective action of double field theory,” Journal of High Energy Physics 2011 no. 11, (2011) 1–34.
[16] M. Grana and D. Marques, “Gauged double field theory,” Journal of High Energy Physics 2012 no. 4, (2012) 1–19.
[17] G. Aldazabal, D. Marques, and C. Nunez, “Double field theory: a pedagogical review,” Classical and Quantum Gravity 30 no. 16, (2013) 163001.
[18] C. Xenia and F. Quevedo, “Duality symmetries from non-abelian isometries in string theory,” Nuclear Physics B 403 no. 1-2, (1993) 377–394.
[19] A. Giveon and M. Roˇcek, “On nonabelian duality,” Nuclear Physics B 421 no. 1, (1994) 173–187.
[20] E. Alvarez, L. Alvarez-Gaume, J. Barbon, and Y. Lozano, “Some global aspects of duality in string theory,” Nuclear Physics B 415 no. 1, (1994) 71–100.
[21] C. Klimcik, “Poisson-lie t-duality,” arXiv preprint hep-th/9509095 (1995) .
[22] R. Blumenhagen, F. Hassler, and D. L¨ust, “Double field theory on group manifolds,” Journal of High Energy Physics 2015 no. 2, (2015) 1–44.
[23] R. Blumenhagen, F. Hassler, and D. L¨ust, “Generalized metric formulation of double field theory on group manifolds,” Journal of High Energy Physics 2015 no. 08, (2015) 56.
[24] P. du Bosque, F. Hassler, and D. L¨ust, “Flux formulation of dft on group manifolds and generalized scherk-schwarz compactifications,” Journal of High Energy Physics 2016 no. 2, (2016) 1–41.
[25] F. Hassler, “Poisson-lie t-duality in double field theory,” Physics Letters B 807 (2020) 135455.
[26] A. Neveu and J. H. Schwarz, “Tachyon-free dual model with a positive-intercept trajectory,” Physics Letters B 34 no. 6, (1971) 517–518.
[27] P. Ramond, “Dual theory for free fermions,” Physical Review D 3 no. 10, (1971) 2415.
[28] T. J. Courant, “Dirac manifolds,” Transactions of the American Mathematical Society 319 no. 2, (1990) 631–661.
[29] I. Vaisman, “On the geometry of double field theory,” Journal of mathematical physics 53 no. 3, (2012) 033509.
[30] U. Carow-Watamura, K. Miura, S. Watamura, and T. Yano, “Metric algebroid and dirac generating operator in double field theory,” Journal of High Energy Physics 2020 no. 10, (2020) 1–51.
[31] “出版準備中,”.
[32] V. Drinfel’d, “Quantum groups,” in Proc. Int. Congr. Math., vol. 1, pp. 798–820. 1986.
[33] A. Y. Alekseev and A. Malkin, “Symplectic structures associated to lie-poisson groups,” Communications in Mathematical Physics 162 no. 1, (1994) 147–173.
[34] F. Falceto and K. Gawedzki, “Lattice wess-zumino-witten model and quantum groups,” Journal of Geometry and Physics 11 no. 1-4, (1993) 251–279.
[35] I. Vaisman, “Transitive courant algebroids,” International Journal of Mathematics and Mathematical Sciences 2005 no. 11, (2005) 1737–1758.
[36] B. Zwiebach, “Closed string field theory: Quantum action and the batalin-vilkovisky master equation,” Nuclear Physics B 390 no. 1, (1993) 33–152.
[37] O. Hohm and B. Zwiebach, “l∞ algebras and field theory,” Fortschritte der Physik 65 no. 3-4, (2017) 1700014.
[38] A. Deser and C. Saemann, “Extended riemannian geometry i: Local double field theory,” in Annales Henri Poincar´e, vol. 19, pp. 2297–2346, Springer. 2018.
[39] C. J. Grewcoe and L. Jonke, “Double field theory algebroid and curved l ∞ -algebras,” Journal of Mathematical Physics 62 no. 5, (2021) 052302.
[40] T. Kaluza Sitzungsberichte der K. Preussischen Akademie der Wissenshaften zu Berlin (1921) 996.
[41] O. Klein Zeitshrift f¨ur Physik 37 895–906.
[42] 清水克多郎, 牟田泰三, and 山岡吉広, “Kaluza と klein の論文の和訳 i (翻訳),” 素粒子論研究 67 no. 5, (1983) 270–276.
[43] 清水克多郎 and 牟田泰三, “Kaluza と klein の論文の和訳 ii,” 素粒子論研究 68 no. 3, (1983) 125–135.
[44] U. Carow-Watamura, N. Ikeda, T. Kaneko, and S. Watamura, “Dft in supermanifold formulation and group manifold as background geometry,” Journal of High Energy Physics 2019 no. 4, (2019) 1–41.
[45] A. Alekseev and P. Xu, “Derived brackets and courant algebroids.” http://www.personal.psu.edu/pxx2/anton-final.pdf.
[46] A. Lichnerowicz, “Spineurs harmoniques,” C. R. Acad. Sci Paris no. 257, (1963) 7–9.
[47] O. Hohm and B. Zwiebach, “Towards an invariant geometry of double field theory,” Journal of Mathematical Physics 54 no. 3, (2013) 032303.
[48] M. Hong, Y. Kim, and E. O. Colg´ain, “On non-abelian t-duality for non-semisimple ´ groups,” The European Physical Journal C 78 no. 12, (2018) 1–12.
[49] E. Tyurin and R. von Unge, “Poisson-lie t-duality: the path-integral derivation,” Physics Letters B 382 no. 3, (1996) 233–240.
[50] R. Von Unge, “Poisson-lie t-plurality,” Journal of High Energy Physics 2002 no. 07, (2002) 014.
[51] Y. Sakatani, “Type ii dft solutions from poisson–lie-duality/plurality,” Progress of Theoretical and Experimental Physics 2019 no. 7, (2019) 073B04.
[52] B. Jurˇco and J. Vysok`y, “Poisson–lie t-duality of string effective actions: A new approach to the dilaton puzzle,” Journal of Geometry and Physics 130 (2018) 1–26.
[53] O. Hohm, S. K. Kwak, and B. Zwiebach, “Double field theory of type ii strings,” Journal of High Energy Physics 2011 no. 9, (2011) 1–64.
[54] J. Scherk and J. H. Schwarz, “How to get masses from extra dimensions,” in Supergravities in Diverse Dimensions: Commentary and Reprints (In 2 Volumes), pp. 1282–1309. World Scientific, 1989.