Теория струн и скрытые измерения вселенной
Шрифт:
81
Ibid.
82
Аллюзия на цитату из поэмы Томаса Стернза Элиота «Полые люди»: «Не взрыв, но всхлип». — Примеч. перев.
83
Ronen Plesser (Duke University), interview with author, September 3, 2008.
84
Ibid.
85
Marcus Grisaru (McGill University), interview with author, August 18, 2008.
86
Plesser, interview with author, September 3, 2008.
87
Shamit Kachru (Stanford University), interview with author, August 19, 2008.
88
Ashoke Sen (Harish-Chandra Research Institute), interview with author, August 22, 2008.
89
Jacques Distler and Brian Greene, “Some Exact Results on the Superpotential from Calabi-Yau Compactifications,” Nuclear Physics
90
Doron Gepner, “Yukawa Couplings for Calabi-Yau String Compactification,” Nuclear Physics В 311 (1988): 191–204.
91
Kachru, interview with author, August 19, 2008.
92
Paul Aspinwall (Duke University), interview with author, August 14, 2008.
93
Wolfgang Lerche, Cumrun Vafa, and Nicholas Warner, “Chiral Rings in N=2 Superconformal Theories,” Nuclear Physics В 324 (1989): 427–474.
94
В. R. Greene, C. Vafa, N. P. Warner, “Calabi-Yau Manifolds and Renormalization Group Flows,” Nuclear Physics В 324 (1989): 371–390.
95
Brian Greene (Columbia University), interview with author, March 11,2010.
96
Ibid.
97
Doron Gepner, interview with author, August 19, 2008.
98
B. R. Greene and M. R. Plesser, “Duality in Calabi-Yau Moduli Space,” Nuclear Physics В 338 (1990): 15–37.
99
Brian Greene, The Elegant Universe (New York: Vintage Books, 2000), p. 258.
100
Plesser, interview with author, September 19, 2008.
101
Greene, interview with author, March 11, 2010.
102
Greene, The Elegant Universe, p. 259.
103
Cumrun Vafa (Harvard University), interview with author, September 19, 2008.
104
Greene, interview with author, March 13, 2010.
105
Mark Gross (UCSD), interview with author, October 31, 2008.
106
Andreas Gathmann (University of Kaiserslautern), interview with author, August 25, 2008.
107
David Hilbert, “Mathematical Problems,” lecture, International Congress of Mathematicians, Paris, 1900,(html version prepared by David Joyce, Mathematics Department, Clark University, Worcester, Mass.).
108
Andreas Gathmann, “Mirror Principle I,” Mathematical Reviews, MR1621573, 1999.
109
David Cox (Amherst College), interview with author, June 13, 2008.
110
Andrew Strominger (Harvard University), interview with author, February 7, 2007.
111
Gross, interview with author, September 19, 2008.
112
Ibid.
113
Gross, interview with author, September 24, 2008.
114
Eric Zaslow (Northwestern University), interview with author, June 26, 2008.
115
Gross, interview with author, September 24, 2008.
116
Mark Gross, e-mail letter to author, September 29, 2008.
117
Strominger, interview with author, August 1, 2007.
118