Мембранные решения в моделях типа супергравитации тема автореферата и диссертации по математике, 01.01.03 ВАК РФ

Иванов, Михаил Геннадьевич АВТОР
кандидата физико-математических наук УЧЕНАЯ СТЕПЕНЬ
Москва МЕСТО ЗАЩИТЫ
2000 ГОД ЗАЩИТЫ
   
01.01.03 КОД ВАК РФ
Диссертация по математике на тему «Мембранные решения в моделях типа супергравитации»
 
 
Список источников диссертации и автореферата по математике, кандидата физико-математических наук, Иванов, Михаил Геннадьевич, Москва

1. М.Грин, Дж.Шварц, Э.Виттен, Теория суперструн, М.«Мир», 1990.Б.А.Дубровин, С.П.Новиков, А.Т.Фоменко, Современная геометрия. Методы и приложения, М.«Наука», 1986

2. JI. Д. Ландау, Е. М. Лифшиц, Теория поля, М. «Наука», 1988

3. Ч.Мизнер, К.Торн, Дж.Уиллер, Гравитация, М.«Мир», 1977

4. И. Д. Новиков, В. П. Фролов, Физика чёрных дыр, М. «Наука», 1986

5. Общая теория относительности под редакцией С.Хокинга и В.Израэля, М.«Мир», 1983

6. А.Д.Сахаров, Космологические переходы с изменением сигнатуры метрики, ЖЕТФ 87, 375 (1984)

7. С. В. Хокинг, Дж. Эллис, Крупномасштабная структура пространства-времени, ИО НФМИ, 1999

8. K.Akama, Pregeometry, in K.Kikkawa, N.Nakanishi andH.Nariai, eds., Gauge Theory and Gravitation, vol. 176 of Lecture Notes in Physics, pp. 267-271, Springer-Verlag (1983).

9. I.Antoniadis, N.Arkani-Hamed, S.Dimopoulos and G.Dvali, New Dimensions at a Millimeter to a Fermi and Superstrings at a TeVPhys.Lett. B436, 257-263 (1998), hep-th/9804398

10. I.Ya.Aref'eva, B.Dragovich and I.V.Volovich, The extra timelike dimensions lead ta a vanishing cosmological constant, Phys.Lett. B177, 357 (1986)

11. I.Ya.Aref'eva, K.S.Viswanathan and I.V.Volovich, p-Brane Solutions in Diverse Dimensions, Phys.Rev. D55, 4748-4755 (1997), hep-th/9609225

12. I.Ya.Aref'eva and A.I.Volovich, -Composite p-Branes in Diverse Dimensions, Class.Quant.Grav. 14, 2991-3000 (1997), hep-th/9611026

13. I.Ya.Aref'eva and O.A.Rytchkov, Incidence Matrix Description of Intersecting p-brane Solutions, hep-th/9612236

14. I.Ya.Aref'eva, K.S.Viswanathan, A.I.Volovich and

15. V.Volovich, Composite p-branes in various dimensions, Nucl.Phys.Proc.Suppl. 56B, 52-60 (1997), hep-th/9701092

16. I. Ya. Aref'eva, P. B. Medvedev, CL A. Rytchkov and I. V. Volovich, Chaos in M(atrix) theory, hep-th/9710032; Chaos, Solitons & Fractals, 10, 213-223 (1999)

17. I. Ya. Aref'eva, On the holographic S-matrix, hep-th/9902106

18. R.Arguirio, F.Englert and L.Houart, Intersection Rules for p-Branes, Phys.Lett. B398, 61-68 (1997), hep-th/9701042

19. N.Arkani-Hamed, S.Dimopoulos and G.Dvali, The Hierarchy Problem and New Dimensions at a Millimeter Phys.Lett. B429, 263-272 (1998), hep-ph/9803315

20. N.Arkani-Hamed, S.Dimopoulos, G.Dvali and N.Kaloper, Infinitely Large New Dimensions, Phys.Rev.Lett. 84, 586-589 (2000), hep-th/9907209

21. M. Bañados, M. Henneaux, C. Teitelboim, and J. Zanelly, Geometry of the 2+1 black hole, Phys.Rev. D48, 1506-1525 (1993)

22. T. Banks, W. Fishier, S.H. Shenker and L. Susskind, M theory as a matrix model: a conjecture, Phys.Rev. D55, 5112-5128 (1997), hep-th/9610043

23. A.O. Barvinsky, Unitarity approach to quantum cosmology, Phys.Rept. 230, 237-367 (1993)

24. A.O. Barvinsky, V.P. Frolov, A.I. Zelnikov, Wave function of a black hole and the dynamical origin of entropy, Phys.Rev. D51, 1741-1763 (1995), gr-qc/9404036

25. A.O. Barvinsky, S.N. Solodukhin, Non-minimal coupling, boundary terms and renormalization of the Einstein-Hilbert action and black hole entropy Nucl.Phys. B479, 305-318 (1996), gr-qc/9512047

26. K.Behrndt, E.Bergshoeff and B.Janssen, Intersecting D-Branes in ten and six dimensions, Phys.Rev. D55, 3785-3792 (1997), hep-th/9604168

27. K.Behrndt, G.L.Cardoso, B.de Wit, R.Kallosh, D.Lust and T.Mohaupt, Classical and quantum N=2 super symmetric black holes, Nucl.Phys. B488, 236-260 (1997), hep-th/9610105

28. E.Bergshoeff, R.Kallosh, T.Ortin, Stationary Axion/Dilaton Solutions and Super symmetry, Nucl.Phys. B478, 156-180 (1996), hep-th/9605059

29. E.Bergshoeff, M.De Roo and S.Panda, Four-dimensional High-Branes as Intersecting D-Branes, Phys.Lett. B390, 143-147 (1997), hep—th/9609056

30. E.Bergshoeff, M.de Roo, E.Eyras, B.Janssen and J.P.van der Schaar, Multiple Intersections of D-branes and M-branes, Nucl.Phys. B494, 119-143 (1997), hep-th/9612095

31. J.D.Bekenstein, Black holes and entropy, Phys.Rev. D7, 2333-2346 (1973)

32. J.D.Bekenstein, Generalized second law of thermodynamics in black hole physics, Phys.Rev. D9, 3292-3300 (1974)

33. J. D. Bekenstein, Universal upper bound on theentropy-to-energy ratio for bounded systems, Phys.Rev. D23, 287-298 (1981)

34. J. D. Bekenstein, Entropy bounds and black hole remnants, Phys.Rev. D49, 1912-1921 (1994), gr-qc/9307035

35. J. D. Bekenstein, Non-Archimedean character of quantum buoyancy and the generalized second law of thermodynamics, gr-qc/9906058

36. V.A. Berezin, V.A. Kuzmin, I.I. Tkachev, Thin wall vacuum domains evolution, Phys.Lett. B120, 91 (1983)

37. V.A. Berezin, On a quantum mechanical model of a black hole, Phys.Lett. B241, 194 (1990)

38. V.A. Berezin, A.M. Boyarsky, A.Yu. Neronov, Black hole mass spectrum vs. spectrum of Hawking radiation, Phys.Lett. B455, 109-114 (1999), gr-qc/9808027

39. M.Bordag, B.Geyer, G.L.Klimchitskaya, V.M.Mostepanenko, New constraints for non-Newtonian gravity in nanometer range from the improved precision measurement of the Casimir force, Phys.Rev. D62 (2000) 011701, hep-ph/0003011

40. R. Bousso, Holography in general space-times, JHEP 9906 (1999) 028 hep-th/9906022,

41. A.Brandhuber and K.Sfetsos, Non-standard compactifications with mass gaps and Newton's law, J.High Energy Phys., 9910, 013 (1999), hep-th/9908116

42. J.Breckenridge, R.Myers, A.Peet and C.Vafa, D-branes and Spinning Black Holes, Phys.Lett. B391, 93-98 (1997), hep-th/9602065

43. C.Callan and J.Maldacena, D-brane Approach to Black Hole Quantum Mechanics, NucLPhys. B472, 591-610 (1996), hep-th/9602043

44. A.Chamblin and G.W. Gibbons, Supergravity on the Brane, Phys.Rev.Lett. 84, 1090-1093 (2000), hep-th/9909130.

45. A.G. Cohen and D.B. Kaplan, Solving the Hierarchy Problem with Noncompact Extra Dimensions, Phys.Lett. B470, 52-58 (1999), hep-th/9910132

46. C. Csáki, J. Erlich, T. J. Hollowood and Yu. Shirman, Universal Aspects of Gravity Localized on Thick Branes, Nucl.Phys. B581, 309-338 (2000), hep-th/0001033

47. C.Csaki, J.Erlich and T.J. Hollowood, Graviton Propagators, Brane Bending and Bending of Light in Theories with Quasi-Localized Gravity, Phys.Lett. B481, 107-113 (2000), hep-th/0003020.

48. C.Csaki, J.Erlich, T.J. Hollowood and J.Terning, Holographic RG and Cosmology in Theories with Quasi-Localized Gravity, hep-th/0003076.

49. M. Cvetic and A. A. Tseytlin, Non-extreme black holes from non-extreme intersecting M-branes, NucLPhys. B478, 181-198 (1996), hep-th/9606033

50. M.Cvetic, D.Youm, Rotating Intersecting M-Branes, NucLPhys. B499, 253-282 (1997), hep-th/9612229

51. N.Dadhich, R.Maartens, P.Papadopoulos and V.Rezania, Black Holes on the Brane, Phys.Lett. B487, 1-6 (2000), hep-th/0003061

52. O.deWolfe, D.Z. Freedman, S.S. Gubser and A.Karch, Modeling the Fifth Dimension with Scalars and Gravity, Phys.Rev. D62 (2000) 046008, hep-th/9909134

53. R.Dick and D.Mikulovicz, Gravity and the Newtonian Limit in the Randall-Sundrum Model, Phys.Lett. B476, 363-368 (2000), hep-th/0001013

54. M.J.Duff, J.X.Lu, Black and super p-branes in diverse dimensions, Nucl.Phys. B416, 301-334 (1994), hep-th/9306052

55. M.J.Duff, H.Lii and C.N.Pope, The Black Branes of M-theory, Phys.Lett. B382, 73-80 (1996), hep-th/9604052

56. M.J. Duff and J.T. Lim, On the Equivalence of the Maldacena and Randall-Sundrum Pictures, hep-th/0003237

57. G.Dvali, G.Gabadadze and M.Porrati, Metastable Gravitons and Infinite Volume Extra Dimensions, Phys.Lett. B484, 112-118 (2000), hep-th/0002190

58. G.Dvali, G.Gabadadze and M.Porrati, A Comment on Brane Bending and Ghosts in Theories with Infinite Extra Dimensions, Phys.Lett B484, 129-132 (2000), hep-th/0003054

59. R.Emparan, Composite black holes in external fields, Nucl.Phys. B490, 365-390 (1997), hep-th/9610170

60. R.Emparan, G.T. Horowitz and R.C. Myers, Black Holes Radiate MainPy on the Brane, Phys.Rev.Lett. 85, 499-502 (2000), hep-th/0003118

61. E.E. Flanagan, D. Marolf and R.M. Wald, Proof of classical version of the Bousso entropy bound and of the generalized second law, hep-th/9908070

62. D.V.Gal'tsov, O.A.Rytchkov, Generating branes via sigma-models, Phys.Rev. D58 (1998) 122001, hep-th/9801160

63. J.Garriga and T.Tanaka, Gravity in the Randall-Sundrum Brane World, Phys.Rev.Lett. 84, 2778-2781 (2000), hep-th/9911055

64. J.P.Gauntlett, D.A.Kastor and J.Traschen, Overlapping Branes in M-Theory, Nucl.Phys. B478, 544-560 (1996), hep-th/9604179

65. J.P.Gauntlett, Intersecting Branes, hep-th/9705011

66. G.W.Gibbons and S.W.Hawking, Action integrals and partition functions in quantum gravity, Phys.Rev. D15, 2752-2756 (1977)

67. S. B. Giddings, The boundary S-matrix and the AdS to CFT dictionary, Phys.Rev.Lett. 83, 2707-2710 (1999), hep-th/9903048

68. S.B. Giddings, E.Katz and L.Randall, JHEP 0003 (2000) 023, hep-th/0002091

69. M.Gogberashvili, Gravitational Trapping for Extended Extra Dimension, hep-ph/9908347 >

70. I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series and Products, Academic Press, New York, 5th edn. (1994).

71. R.Gregory, V.A. Rubakov and S.M. Sibiryakov, Gravity and antigravity in a brane world with metastable gravitons: Comment on hep-th/0002190 and hep-th/0003020, hep-th/0003045

72. R.Gregory, V.A. Rubakov and S.M. Sibiryakov, Brane worlds: The Gravity of Escaping Matter, hep-th/0003109

73. C.Grojean, T Self-Dual Transverse Space and Gravity Trapping, Phys.Lett. B479, 273-283 (2000), hep-th/0002130

74. E.Halyo, Localized Gravity on Branes in anti-de Sitter Spaces, hep-th/9909127

75. N.Hambli, Comments on Dirichlet Branes at Angles, Phys.Rev. D56, 2369-2377 (1997), hep-th/9703179

76. S.W.Hawking, Particle creation by black holes, Comm.Math.Phys. 43, 199-220 (1975)

77. S.W.Hawking in General Relativity: An Einstein Centenary Survey, ed. S.W.Hawking and W.Israel (Cambridge, 1979)

78. S.W. Hawking, T.Hertog and H.Reall, Brane New World, Phys.Rev. D62 (2000) 043501, hep-th/0003052.

79. S. W. Hawking and G. T. Horowitz, The gravitational hamiltonian, action, entropy, and surface terms,gr-qc/9501014; Class.Quant.Grav. 13, 1487-1498 (1996)

80. G.T.Horowitz and A.Strominger, Black strings and p-branes, Nucl.Phys. B360, 197-209 (1991)

81. G.Horowitz, J.Maldacena and A.Strominger, Nonextremal Black Hole Microstates and U-duality, Phys.Lett. B383, 151-159 (1996), hep-th/9603109

82. G.Horiwitz, The Origin of Black Hole Entropy in String Theory, gr-qc/9604051

83. G. 't Hooft, Dimensional reduction in quantum gravity, gr-qc/9310026

84. G. 't Hooft, Quantum gravity as a dissipative deterministic system, Class.Quant.Grav. 16, 3263-3279 (1999), gr-qc/9903084

85. C.Hull and P.Townsend, Unity of Superstring Dualities, Nucl.Phys. B438, 109-137 (1995), hep-th/9410167

86. V.D.Ivashchuk and V.N.Melnikov, Intersecting p-brane Solutions in Multidimensional Gravity and M-theory, hep-th/9612089

87. V.D.Ivashchuk, V.N.Melnikov and M.Rainer, Multidimensional sigma-models with composite electric p-branes, Grav.Cosmol. 4, 73-82 (1998), gr-qc/9705005

88. V. D. Ivashchuk, 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/9705036

89. T. Jacobson, On the nature of the black hole entropy, gr-qc/9908031

90. C.Johnson, R.Khuru and R.Myers, Entropy of J^D Extremal Black Holes, Phys.Lett. B378, 78-86 (1996), hep-th/9603061

91. R.Kallosh, T.Ortin, and A.Peet, Entropy and Action of Dilaton Black Holes, Phys.Rev. D47, 5400-5407 (1993), hep-th/9211015

92. R.Kallosh and A.Linde, Supersymmetry and the Brane World, JHEP 0002 (2000) 005, hep-th/0001071

93. G.Kang and Y.S. Myung, No Ghost State in the Brane World, Phys.Lett B483, 235-239 (2000), hep-th/0003162

94. I. Khan and A. Qadir, Upper Bound on Entropy, Lett.Nouvo Cimento 41, 493-496 (1984) *

95. J.E. Kim, B.Kyae and H.M. Lee, Various Modified Solutions of the Randall-Sundrum Model with the Gauss-Bonnet Interaction, Nucl.Phys. B582, 296-312 (2000),hep-th./0004005

96. I.R.Klebanov and A.A.Tseytlin, Intersecting M-branes as Four-Dimensional Black Holes, Nucl.Phys. B475, 179-192 (1996), hep-th/9604166

97. I.I. Kogan and G.G. Ross, Brane Universe and Multigravity: Modification of Gravity at Large and Small Distances, Phys.Lett. B485, 255-262 (2000), hep-th/0003074

98. F.Larsen, F.Wilczek, Geometric and Renormalized Entropy in Conformal Field Theory, Nucl.Phys. B424, 443-467 (1994), hep-th/9403108

99. J.C.Long, H.W.Chan, J.C.Price, Experimental Status of Gravitational-Strength Forces in the Sub-Centimeter Regime, Nucl.Phys. B539, 23-34 (1999), hep-ph/9805217

100. J.Lykken and L.Randall, The Shape of Gravity, JHEP 0006 (2000) 014, hep-th/9908076

101. J.Maldacena and A.Strominger, Statistical Entropy of Four-Dimensional Extremal Black Holes, Phys.Rev.Lett. 77, 428-429 (1996), hep-th/9603060

102. J. M. Maldacena, The large N limit of superconformal field theory and supergravity, Adv.Theor.Math.Phys. 2 (1998) 231-252; Int.J.Theor.Phys. 38 (1999) 1113-1133, hep-th/9711200

103. W.Miick, K.S. Viswanathan and I.Volovich, Geodesies and Newton's Law in Brane Backgrounds, hep-th/0002132

104. Y.S. Myung and G.Kang, Comment on "Metric Fluctuations in Brane Worlds", hep-th/0001003

105. Y.Myung, G.Kang and H.Lee, Randall-Sundrum Gauge in the Brane World, Phys.Lett. B478, 294-298 (2000), hep-th/0001107

106. N.Ohta and T.Shimizu, Non-Extreme Black Holes from Intersecting M-Branes, hep-th/9701095

107. N.Ohta, Intersection Rules for Non-Extreme p-Branes, Phys.Lett. B403, 218-224 (1997), hep-th/9702164

108. G.Papadopoulos, A brief guide to p-branes, Fortsch.Phys, 44, 573-584 (1996), hep-th/9604068

109. G.Papadopoulos and P.K.Townsend, Intersecting M-branes, Phys.Lett. B380 (1996) 273-279, hep-th/9603087; Kaluza-Klein on the Brane, Phys.Lett. B393 (1997) 59-64, hep-th/9609095

110. J.Polchinski, S.Chaudhuri and C.Johnson, Notes on D-Branes, hep-th/9602052

111. L.Randall and R.Sundrum, A Large Mass Hierarchy from a Small Extra Dimension Phys.Rev.Lett. 83, 3370-3373 (1999), hep-ph/9905221

112. L.Randall and R.Sundrum, An Alternative to Compactification, Phys.Rev.Lett. 83, 4690-4693 (1999), hep-th/9906064

113. V.A. Rubakov and M.E. Shaposhnikov, Do we live inside a domain wall?, Phys.Lett. 125B, 136-138 (1983).

114. M.Sasaki, T.Shiromizu and K.Maeda, Gravity, Stability and Energy Conservation on the Randall-Sundrum Brane-World, Phys.Rev. D62 (2000) 024008, hep-th/9912233

115. N. A. Saulina, Intersecting 5-brane solution of N=1, D=10 Dual Supergravity with a' corrections, Phys.Atom.Nucl. 61, 501-506 (1998), hep-th/9705170

116. A.Sen, U-duality and Intersecting D-branes, Phys.Rev. D53, 2874-2894 (1996), hep-th/9511026

117. A.Sen, Orbifolds of M-Theory and String Theory, Mod.Phys.Lett. All, 1339-1348 (1996), hep-th/9603113

118. J.H.Schwarz, The Power of M Theory, Phys.Lett. B367, 97-103 (1996), hep-th/9510086; Lectures on Superstring and M Theory Dualities, Nucl.Phys.Proc.Suppl. 55B, 1-32 (1997), hep-th/9607201

119. T.Shiromizu, K.Maeda and M.Sasaki, The Einstein Equations on the 3-Brane World, Phys.Rev. D62 (2000) 024012, gr-qc/9910076

120. K.S.Stelle, Lectures on Supergravity p-branes, hep-th/9701088

121. A.Strominger and C.Vafa, Microscopic Origin of the Bekenstein-Hawking Entropy, Phys.Lett. B379, 99-104 (1996), hep-th/9601029

122. A. Strominger and J. Maldacena, Statistical entropy of de Sitter space, JHEP 9802 (1998) 014, gr-qc/9801096

123. L. Susskind, The world as a hologram, J.Math.Phys. 36, 6377-6396 (1995), hep-th/9409089

124. L. Susskind and E. Witten, The holographic bound in anti-de Sitter space, hep-th/9805114

125. P.Townsend, p-Brane Democracy, hep-th/9507048

126. A.A.Tseytlin, Extreme dyonic black holes in string theory, Mod.Phys.Lett. All, 689-714 (1996), hep-th/9601177; No-force condition and BPS combinations of p-branes in 11 and 10 dimensions, Nucl.Phys. B487, 141-154 (1997), hep-th/9609212

127. A.A.Tseytlin, Harmonic superpositions of M-branes, Nucl.Phys. B475, 149-163 (1996), hep-th/9604035

128. W. G. Unruh and R. M. Wald, Acceleration radiation and the generalized second law of thermodynamics, Phys.Rev. D25, 942-958 (1982)

129. W. G. Unruh and R. M. Wald, Entropy bounds, acceleration radiation, and the generalized second law, Phys.Rev. D27, 2271-2276 (1983)

130. M.Visser, An exotic class of Kaluza-Klein models, Phys.Lett. B159, 22 (1985), hep-th/9910093

131. A.Volovich, Three-block p-branes in various dimensions, Nucl.Phys. B492, 235-248 (1997), hep-th/9608095

132. R.M.Wald, General Relativity, The University of Chicago Press, 1984

133. E.Witten, String Theory Dynamics In Various Dimensions, Nucl.Phys. B443, 85-126 (1995), hep-th/9503124

134. D.Youm, Solitons in Brane Worlds, Nucl.Phys. B576, 106-122 (2000), hep-th/9911218

135. D.Youm, Solitons in Brane Worlds II, Nucl.Phys. B576, 139-151 (2000), hep-th/0001018

136. D.Youm, Dilatonic p-Branes and Brane Worlds, hep-th/0003174

137. I. Ya. Aref'eva, M. G. Ivanov, I. V. Volovich, Non-extremal Intersecting p-branes in Various Dimensions, Phys. Lett. B406, 44-48 (1997),http://xxx.lanl.gov/abs/hep-th/9702079

138. M. Г. Иванов, Неэкстремальные р-бранные решения в пространстве-времени произвольной размерности и сигнатуры, Первая открытая научная конференция молодых учёных и специалистов ОИЯИ, Дубна 24-26 февраля 1997г., труды конференции, Дубна, 1997, стр. 11-15

139. M. G. Ivanov, p-brane solutions and Beltrami-Laplace operator, http: //xxx. lanl. gov/abs/hep-th/9710110

140. I. Ya. Aref'eva, M. G. Ivanov, O. A. Rytchkov,

141. V. Volovich, Non-extremal Localised Branes and Vacuum Solutions in M-Theory, Class. Quant. Grav. 15, 2923-2936 (1998), http: //xxx. lanl.gov/abs/hep-th/9802163

142. M. Г. Иванов, Р-бранные решения и оператор Белътрами-Лапласа, Вторая открытая научнаяконференция молодых учёных и специалистов ОИЯИ, Дубна 2-6 марта 1998г., труды конференции, Дубна, 1998, стр. 52-54

143. M. G. Ivanov, I. V. Volovich, Entropy Bounds, Holographic Principle and Uncertainty Relation,http://xxx.lanl.gov/abs/gr-qc/9908047

144. I. Ya. Aref'eva, M. G. Ivanov, W. Mueck, K. S. Viswanathan, I. V. Volovich, Consistent Linearized Gravity in Brane Backgrounds, http : //xxx. lanl. gov/abs/hep-th/0004114