Теория струн и скрытые измерения Вселенной

[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 В309 (1988): 295–316.

[90] Doron Gepner, “Yukawa Couplings for Calabi-Yau String Compactification,” Nuclear PhysicsВ 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 В324 (1989): 427–474.

[94] В. R. Greene, C. Vafa, N. P. Warner, “Calabi-Yau Manifolds and Renormalization Group Flows,” Nuclear Physics В324 (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 В338 (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, T he 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] Zaslow, interview with author, June 26, 2008.

[119] Gross, interview with author, September 19, 2008.

[120] Yan Soibelman (Kansas State University), interview with author, September 26, 2008.

[121] Aspinwall, interview with author, June 23, 2008.

[122] Michael Douglas (Stony Brook University), interview with author, August 20, 2008.

[123] Aspinwall, interview with author, June 23, 2008.

[124] Gross, interview with author, September 24, 2008.

[125] Avi Loeb (Harvard University), interview with author, September 25,2008.

[126] American Mathematical Society, “Interview with Heisuke Hironaka,” Notices of the AMS52, no. 9 (October 2005): 1,015.

[127] Steve Nadis, “Cosmic Inflation Comes of Age,” Astronomy(April 2002).

[128] Andrew Strominger, “String Theory, Black Holes, and the Fundamental Laws of Nature,” lecture, Harvard University, Cambridge, Mass., April 4, 2007.

[129] Ibid.

[130] Hirosi Ooguri (California Institute of Technology), interview with author, October 8, 2008.

[131] Strominger, lecture.

[132] Andrew Strominger and Cumrun Vafa, “Microscopic Origin of the Bekenstein-Hawking Entropy,” Physics Letters В379 (June 27, 1996): 99-104.

[133] Andrew Strominger, quoted in Gary Taubes, “Black Holes and Beyond,” Science Watch, May/June 1999, http://archive.sciencewatch.com/may-june99/sw_may-june99_page3.htm.

[134] Hirosi Ooguri, interview with author, October 8, 2008.

[135] Strominger, quoted in Taubes, “Black Holes and Beyond.”

[136] Xi Yin (Harvard University), interview with author, October 14, 2008.

[137] Ibid.

[138] Xi Yin, interview with author, October 22, 2008.

[139] Frederik Denef (Harvard University), interview with author, August 26, 2008.

[140] Xi Yin, interview with author, October 14, 2008.

[141] Aaron Simons, interview with author, February 9, 2007.

[142] Ibid.

[143] J. M. Maldacena, A. Strominger, and E. Witten, “Black Hole Entropy in M-Theory” Journal of High Energy Physics9712 (1997), http://arxiv.org/PS_cache/hepth/pdf/9711/9711053vl.pdf.

[144] Juan Maldacena (IAS), interview with author, September 4, 2008.

[145] Hirosi Ooguri, Andrew Strominger, and Cumrun Vafa, “Black Hole Attractors and the Topological String,” Physical Review D70 (2004).

[146] Cumrun Vafa (Harvard University), interviewwith author, September 26, 2008.

[147] James Sparks (Harvard University), interview with author, February 6, 2007.

[148] Amanda Gefter, “The Elephant and the Event Horizon,” New Scientist(October 26,2006): 36–39.

[149] John Preskill, “On Hawking’s Concession,” July 24, 2004, http://www.theory.caltech.edu/~preskill/jp_24jul04.html.

[150] Andrew Strominger (Harvard University), interview with author, February 7, 2007.

[151] Juan Maldacena, “The Illusion of Gravity,” Scientific American, November 2005, pp. 57–58, 61.