Скрытые симметрии и солитоны в теориях супергравитации и суперструн

1. 1.Ya. Aref’eva, M.G. Ivanov, O.A. Rytchkov and I.V. Volovieh, Non-Extremal Localised Branes and Vacuum Solutions in Ad-Theory. Class Quant. Grav. 15 (1998) 2923−2936- hep-th/9 802 163.

2. P. S. Aspinwall, Some Relationships between Dualities in String Theory, Nucl. Phys. Proc. Suppl. 46 (1996) 30−38- hep-th/9 508 154.

3. M. Banados, M. Henneaux, C. Teitelboim and J. Zanelli, Geometry of the (2+1) Black Hole, Plujs. Rev. D48 (1993) 1506−1525- gr-qc/9 302 012.

4. M. Banados, C. Teitelboim and J. Zanelli, The Black Hole in Three Dimensional Space Time, Phys. Rev. Lett. 69 (1992) 1849−1851- hep-th./9 204 099.

5. E. Bergshoeff, R. Kallosh and T. Ortin, Stationary Axion / Dila-ton Solutions and Supersymmetry, Nucl. Phys. B478 (1996) 156−180- hep-th/9 605 059.

6. E. Bergshoeff and P.K. Townsencl, Super D Brfines Revisited, Nucl. Phys. B531 (1998) 226−238- hep-th/9 804 011.

7. P. Breitenlohner and D. Maison, On Nonlinear a-Mo dels Arizing in (Super-)Gravity, gr-qc/9 806 002.

8. P. Breitenlohner, D. Maison and G.W. Gibbons, 4-Dimensional Black Holes from Kaluza-Klein Theories, Comm. Math. Phys. 120 (1988) 295−333.

9. K.A. Bronnilcov, M.A. Grebeniuk, V.D. Ivashchuk and V.N. Melnikov, Integrable Multidimensional Cosmology for Intersecting p-Branes, Grav. Cosmol. 3 (1997) 105−112- gr-qc/9 709 006.

10. K.A. Bronnikov, V.D. Ivashchuk and V.N. Melnikov, The Reissner-Nordstrom Problem for Intersecting Electric and Magnetic p-Branes, Grav. Cosmol 3 (1997) 203−212- gr-qc/9 710 054.

11. K.C.K. Chan, Comment on the Calculation of the Angular Momentum and Mass for the (Anti-) Self Dual Charged Spinning BTZ Black Hole, Phys. Lett. B373 (1996) 296−298- gr-qc/9 509 032.

12. K.C.K. Chan and R.B. Mann, Static Charged Black Holes in (2 + 1J-Dimensional Dilaton Gravity, Phys. Rev. D50 (1994) 6385−6393, Erratum: ibid D52 (1995) 2600- gr-qc/9 404 040.

13. K.C.K. Chan and R.B. Mann, Spinning Black Holes in (2 + 1)-Dimensional String and Dilaton Gravity, Phys. Lett. B371 (1996) 199−205- hep-th/9 510 069.

14. G. Clement, Stationary Solutions in Five-Dimensional General Relativity, Gen. Rel. Grav. 18 (1986) 137−160.

15. G. Clement, Solutions of Five-Dimensional General Relativity without Spatial Symmetry, Gen. Rel. Grav. 18 (1986) 862−877.

16. G. Clement, Classical Solutions in Three-Dimensional EinsteinMaxwell Cosmological Gravity, Class. Quant. Grav. 10 (1993) L49-L54.

17. G. Clement, Spinning Charged BTZ Black Holes and Self-Dual Particle-Like Solutions, Phys. Lett. B367 (1996) 70−74- gr-qc/9 510 025.

18. G. Clement and D.V. Gal’tsov, Stationary BPS Solutions to Dilaton-Axion Gravity, Phys. Rev. D54 (1996) 6136−6152- hep-th/9 607 043.

19. M.S. Costa, Composite M-Brancs, Nncl. Phys. B490 (1997) 202−216- hep-th/9 609 181.

20. M.S. Costa, Black Composite M-Branes, Nucl. Phys. B495 (1997) 195−205- hep-th/9 610 138.

21. E. Cremmer, Super gravities in 5 Dimensions, in: Superspace and Su-pergravity, Eds. S.W. Hawking and M. Rocek (Cambridge Univ. Press, 1981), 267.

22. E. Cremmer and B. Julia, The N — 8 Supergravity Theory. 1. The Lagrangian, Phys. Lett. B80 (1978) 48.

23. E. Cremmer and B. Julia, The SO (8) Supergravity, Nucl. Phys. B159 (1979) 141.

24. E. Cremmer, B. Julia, H. Lii and C.N. Pope, Dualisation of Dualities, I, Nucl. Phys. B523 (1998) 73−144- hep-th/9 710 119.

25. E. Cremmer, B. Julia, H. Lu and C.N. Pope, Dualisation of Dualities, II: Twisted Self-Duality of Doubled Fields and Superdualities, Nucl. Phys. B535 (1998) 242−292- hep-th/9 806 106.

26. E. Cremmer, B. Julia and J. Seherk, Supergravity Theory in Eleven-Dimensions, Phys. Lett. 76B (1978) 409−412.

27. M. Cvetie and C.M. Hull, Black Holes and U-Duality, Nucl. Phys. B480 (1996) 296−316- hep-th/9 606 193.

28. M. Cvetie and A. Tseytlin, Solitonic Strings and BPS Saturated Dy-onic Black Holes, Phys. Rev. D 53 (1996) 5619−5633, Erratum: ibid D55 (1997) 3907- hep-th/9 512 031.

29. M. Cvetie and A. Tseytlin, Non-Extreme Black Holes from NonExtreme Intersecting M-Branes, Nucl. Phys. B478 (1996) 181−198- hep-th/9 606 033.

30. M. Cvetie and D. Youm, General Static Spherically Symmetric Black Holes of Hcterotic String on a Six Torus, Nucl. Phys. B472 (1996) 249−267- hep-th/9 512 127.

31. M. Cvetie and D. Youm, Rotating Intersecting M-Branes, Nucl. Phys. B499 (1997) 253−282- hep-th/9 612 229.

32. M. Dine, P. Huet and N. Seiberg, Large and Small Radius in String Throty, Nucl Phys. B322 (1989) 301.

33. P. Dobiasch and D. Maison, Stationary, Spherically Symmetric Solutions of Jordan’s Unined Theory of Gravity and Electromagnetism, Gen. Rel. Grav. 14 (1982) 231−242.

34. M.J. Duff, M-Theory (The Theory Formerly Known as Strings), Int. J. Mod. Phys. All (1996) 5623−5642- hep-th/9 608 117.

35. M.J. Duff, R.R. Khuri and J.X. Lu, String Solitons, Phys. Rep. 259 (1995) 213−326- hep-th/9 412 184.

36. M.J. Duff and K.S. Stelle, Multimembrane Solutions of D = 11 Su-pergravityPhys. Lett. B253 (1991) 113−118.

37. J.D. Edelstein, L. Tataru and R. Tatar, Rules for Localized Overlap-pings and Intersections of p-Branes, J. High Energy Phys. 06 (1998) 003- hep-th/9 801 049.

38. F.J. Ernst, New Formulation of the Axially Symmetric Gravitational Field Problem, Phys. Rev. 167 (1968) 1175−1178.

39. F.J. Ernst, New Formulation of the Axially Symmetric Gravitational Field Problem II, Phys. Rev. 168 (1968) 1415−1417.

40. A. Fayyazuddin and D.J. Smith, Localized Intersections of M5-Branes and Four-Dimensional Superconformal Field Theories, hep-th/9 902 210.

41. V. Frolov, A. Zelnikov and U. Bleyer, Charged Rotating Black Holes from Five-Dimensional Point of View, Ann. der Physik (Leipzig) 44 (1987) 371−377.

42. D.V. Gal’tsov, Integrable systems in stringy gravity, Phys. Rev. Lett. 74 (1995) 2863−2866- hep-th/9 410 217.

43. D.V. Gal’tsov, Square of General Relativity, in: Proceedings of the First Australasian Conference on General Relativity and Gravitation, Adelaide, February 12−17 (1996) — hep-th/9 608 021.

44. D.V. Gal’tsov and O.V. Kechkin, Ehlers-Harrison-Type Transformations in Dilation-Axion Gravity, Phys. Rev. D50 (1994) 7394−7399- hep-th/9 407 155.

45. D.V. Gal’tsov and O.V. Kechkin, Matrix clilaton-axion for het-erotic string in three dimensions, Phys. Lett. B361 (1995) 52−58- hep—th/9 507 164.

46. D.V. Gal’tsov and O.V. Kechkin, U-Duality and Symplectic Formulation of Dilaton-Axion Gravity, Phys. Rev. D54 (1996) 1656−1666- hep-th/9 507 005.

47. D.V. Gal’tsov and P. S. Letelier, Reissner-Nordstrom Type Black Holes in Dilation-Axion Gravity, gr-qc/9 608 023.

48. D.V. Gal’tsov and P. S. Letelier, Ehlers-Harrison Transformations and Black Holes in Dilation-Axion Gravity with Multiple Vector Fields, Phys. Rev. D55 (1997) 3580−3592- gr-qc/9 612 007.

49. D.V. Gal’tsov and S.A. Sharakin, Matrix Ernst Potentials for EMDA with Multiple Vector Fields, Phys. Lett. B399 (1997) 250−257- hep-th/9 702 039.

50. D.V. Gal’tsov and O.A. Rytchkov, Generating Branes via Sigma-Models, Phys. Rev. D58 (1998) 122 001; hep-th/9 801 160.

51. G.W. Gibbons, Antigravitating Black Hole Solutions with Scalar Hair inN = 4 Supergravity, Nucl. Phys. B207 (1982) 337−349.

52. G.W. Gibbons, Born-Infeld Particles and Dirichlet p-Branes, Nucl. Phys. B514 (1998) 603−639- hep-th/9 709 027.

53. G.W. Gibbons and K. Maecla, Black Holes and Membranes in Higher Dimensional Theories with Dilaton Fields, Nucl. Phys. B298 (1988) 741−775.

54. G.W. Gibbons and P.K. Townsend, Vacuum Interpolation in Super-gravity via Super p-Branes, Phys. Rev. Lett. 71 (1993) 3754−3757- hep-th/9 307 049.

55. P. Ginsparg, Comment on Toroidal Compactification of Heterotic Su-perstrings, Phys. Rev. D35 (1987) 648.

56. A. Giveon, M. Porrati and E. Rabinovici, Target Space Duality in String Theory, Phys. Rep. 244 (1994) 77−202- hep-th/9 401 139.

57. G.W. Gibbons and D. Wiltshire, Black Holes in Kaluza-Klein Theory, Ann. Phys. 167 (1986) 201−223- Erratum: ibid 176 (1987) 393.

58. D.J. Gross and M.J. Perry, Magnetic Monopoles in Kaluza-Klein Theories, Nucl. Phys. B226 (1983) 29−48.

59. R. Giiven, Black p-Brane Solutions of D = 11 Supergravity Theory: Phys. Lett. B276 (1992) 49−55.

60. A. Hashimoto, Supergravity Solutions for Localized Intersections of Branes, J. High Energy Phys. 9901 (1999) 018- hep-th/9 812 159.

61. E.W. Hirschmann and D.L. Welch, Magnetic Solutions to 2 + 1 Gravity, Phys. Rev. D53 (1996) 5579−5582- hep-th/9 510 181.

62. P. Horava and E. Witten, Heterotic and Type I String Dynamics from Eleven-Dimensions, Nucl. Phys. B440 (1996) 506−524- hep-th/9 510 209.

63. J.H. Home and G.T. Horowitz, Rotating Dilaton Black Holes, Phys. Rev. D46 (1992), 1340−1346- hep-th/9 203 083.

64. G.T. Horowitz and A. Sen, Rotating Black Holes which Saturate a Bo-gomoFnyi Bound, Phys. Rev. D53 (1996) 808−815- hep-th/9 509 108.

65. G.T. Horowitz and D.L. Welch, Exact Three Dimensional Black Holes in String Theory, Phys. Rev. Lett. 71 (1993) 328−331- hep-th/9 308 077.

66. C.M. Hull and P.K. Townsend, Unity of Superstring Dualities Nucl. Phys. B438 (1995) 109−137- hep-th/9 410 167.

67. W. Israel and G.A. Wilson, A Class of Stationary Electromagnetic Vacuum Fields, J. Math. Phys. 13 (1972) 865−867.

68. N. Itzhaki, J.M. Maldacena, J. Sonnenschein and S. Yankielowicz, Supergravity and the Large N Limit of Theories with Sixteen Supercharges, Phys. Rev. D58 (1998) 46 004- hep-th/9 802 042. ¦

69. N. Itzhaki, A.A. Tseytlin and S. Yankielowicz, Supergravity Solutions for Branes Localized Within Branes, Phys. Lett. B432 (1998) 298−304- hep-th/9 803 103.

70. V.D. Ivashchulc and V.N. Melnikov, Sigma-model for Generalized Composite p-Branes, Class. Quant. Grav. 14 (1997) 3001−3029, Erratum ibid. 15 (1998) 3941−4942- hep-th/9 705 036.

71. V.D. Ivashchuk and V.N. Melnilcov, Multidimensional Classical and Quantum Cosmology with Intersecting p-Branes, J. Math. Phys. 39 (1998) 2866−2888- hep-th/9 708 157.

72. V.D. Ivashchuk and V.N. Melnikov, Majumclar-Papapetrou Type Solutions in Sigma-model and Intersecting p-Branes, Class. Quant. Grav. 16 (1999) 849−869- hep-th/9 802 121.

73. V.D. Ivashchuk, V.N. Melnikov and M. Rainer, Multidimensional Sigma-models with Composite Electric p-Branes, Grav. Cosmol. 4 (1998) 73−82- gr-qc/9 705 005.

74. B. Julia, Group Disintegrations, in: Superspace and Supergravity, Eels. S.W. Hawking and M. Rocek (Cambridge Univ. Press, 1981), 331.

75. R. Kallosh, D. Kastor, T. Ortin and T. Torma, Supersymmetry and Stationary Solutions in Dilaton-Axion Gravity, Phys. Rev. D501994) 6374−6384- hep-th/9 406 059.

76. R. Kallosh, A. Linde, T. Ortin, A. Peet and A. van Pn^en, Super-symmetry as a Cosmic Censor, Phys. Rev. D46 (1992) 5278−5302- hep-th/9 205 027.

77. M. Kamata and T. Koikawa, The Electrically Charged BTZ Black Hole with Self (Anti-Self) Dual Maxwell Fields, Phys. Lett. B3531995) 196−200- hep-th/9 505 037.

78. M. Kamata and T. Koikawa, 2+1 Dimensional Charged Black Hole with (Anti-) Self Dual Maxwell Fields, Phys. Lett. B391 (1997) 87−92- hep—th/9 605 114.

79. O.A. Kechkin and M. Yurova, BPS Solutions in D=5 Dilaton-Axion Gravity, Mod. Phys. Lett. A13 (1998) 219−226- hep-th/9712.200.

80. Y. Kiem and D. Park, Magnetically Charged Solutions via an Analog of the Electric-Magnetic Duality in (2 + 1)-Dimensional Gravity Theories, Phys. Rev. D55 (1997) 6112−6115- hep-th/9 610 008.

81. W. Kinnersley, Generation of Stationary Einstein-Maxwell Fields, Journ. Math. Phys. 14 (1973) 651−653.W. Kinnersley, Symmetries of the Stationary Einstein-Maxwell Field Equations I, Journ. Math. Phys. 18 (1977) 1529;

82. A.W. Peet, The Bekenstein Formula and String Theory (NBranc Theory), Class. Quant. Grav. 15 (1998) 3291−3338- hep-th/9 712 253.

83. J. Polchinski, Dirichlet Branes and Ramond-Ramond Charges, Phys. Rev. Lett. 75 (1995) 4724−4727- hep-th/9 510 017.

84. J. Polchinski, TASI Lectures on D-Branes, hep-th/9 611 050.

85. D. Rasheecl, The Rotating Dyonic Black Holes of Kaluza-Klein Theory, Nucl. Phys. B454 (1995) 379−401- hep-th/9 505 038.

86. P.M. Sa, A. Kleber and J.P.S. Lemos, Black Holes in Three-Dimensional Dilaton Gravity Theories, Class. Quant. Grav. 13 (1996) 125−138- hep-th/9 503 089.

87. P.M. Sa and J.P.S. Lemos, Stationary Black Holes in a Generalized Three-Dimensional Theory of Gravity, Phys. Lett. B423 (1998) 4953- hep—th/9 611 169.

88. J.H. Schwarz, An SL (2,Z) Multiplet of Type IIB Superstrings, Phys. Lett. B360 (1995) 13−18, Erratum: ibid B364 (1995) 252- hep—th/9 508 143.

89. J.H. Schwarz, Lectures on Superstring and M-theory Dualities, Nucl. Phys. Proc. Suppl. B155 (1997) 1−32- hep-th/9 607 201.

90. J.H. Schwarz, Introduction to M Theory and AdS/CFT Duality, in: Proceedings of the Quantum Aspects of Gauge Theories, Super-symmetry and Unification, (Corfu, Greece, 20−26 September 1998) — hep-th/9 812 037.

91. K. Sfetsos, On (Multi-) Center Branes and Exact String Vacua, in: Proceedings of the Quantum Aspects of Gauge Theories, Super-symmetry and Unification, (Corfu, Greece, 20−26 September 1998) — hep-th/9 812 165.

92. R.D. Sorkin, Kaluza-Klein Monopole, Phy. Rev. Lett. 51 (1983) 8790.

93. K.S. Stelle, Lectures on Supergravity p-Branes, hep—th/9 701 088.

94. S. Surya and D. Marolf, Localized Branes and Black Holes, Phys. Rev. D58 (1998) 124 013- hep-th/9 805 121.

95. K.P. Tod, All Metrics Admitting Supercovariantly Constant Spinors, Phys. Lett. B121 (1983) 241−244.

96. K.P. Tod, More on Supercovariantly Constant Spinors, Class. Quant. Grav. 12 (1995) 1801−1820.

97. P.K. Townsend, The Eleven-Dimensional Supermembrane Revisited, Phys. Lett. B350 (1995) 184−187- hep-th/9 601 068.

98. P.K. Townsend, Brane Surgery, Nucl. Phys. Proc. Suppl. 58 (1997) 163−175- hep-th/9 609 217.

99. A.A. Tseytlin, Composite BPS Configurations of p-Branes in 10 and 11 Dimensions, Class Quant. Grav. 14 (1996) 2085;2105- hep-th/9 702 163.

100. E. Witten, String Theory Dynamics in Various Dimensions, Nucl. Phys. B443 (1995) 85−126- hep-th/9 303 124.

101. H. Yang, Localized Intersecting Brane Solutions of D = 11 Super-gravity, hep-th/9 902 128.

102. D. Youm, Localized Intersecting BPS Branes, hep-th/9 902 208.

103. C.-M. Chen, T-Duality and Spinning Solutions in 2-j-l Gravity, Nucl. Phys. B544 (1999) 775−788- hep-th/9 810 245.

104. C.-M. Chen and D.V. Gal’tsov, p-Brane Gerocli groups, in: Abstracts of 15-th International conference on General Relativity and, Gravitation, Pune, India, December 16−21, 1997, p. 112.

105. C.-M. Chen, D.V. Gal’tsov and S.A. Sharakin, Intersecting M-Fluxbranes, Grav. Cosmol. 5 (1999) 45−48;

106. C.-M. Chen, D.V. Gal’tsov, K. Maecla and S.A. Sharakin, SL (4,R) Generating Symmetry in Five-Dimensional Gravity Coupled To Dila-ton and Three-Form, Phys. Lett. B453 (1999) — hep-th/9 901 130.

107. C.-M. Chen, D.V. Gal’tsov and S.A. Sharakin, Vacuum Interpretation of M-Branes, готовится к печати.

108. C.-M. Chen, D.V. Gal’tsov and S.A. Sharakin, Semi-Localized Intersecting M-Branes with NUT Parameter, готовится к печати.

109. C.-M. Chen, D.V. Gal’tsov and S.A. Sharakin, Kaluza-Klein Reduction Revisited: Dualization Alternatives and Non-Local Dualities, готовится к печати.

110. C.-M. Chen, D.V. Gal’tsov, S.A. Sharakin and V.V. Sibrin, Composite M-Branes: Constructive Derivation, готовится к печати.

111. JI. Бринк и М. Энно, Принципы теория струн, М., Издательство МИР, 1991.

112. М. Грин, Дж. Шварц и Э. Виттен, Теория суперструн, М., Издательство МИР, 1990, в двух томах.

113. И. Я. Арефьева и И. В. Волович, Суперсимметрия: теории Калуцы-Клейна, аномалии, суперструны, УФН, 1985, т. 146, сс. 655−682.

114. Б. М. Барбашов и В. В. Нестеренко, Суперструны — новый подход к единой теории фундаментальных взаимодействий, УФН, 1986, т. 150, сс. 489−524.