Bulk versus boundary dynamics in anti-de Sitter spacetime

被引:388
作者
Balasubramanian, V [1 ]
Kraus, P
Lawrence, A
机构
[1] Harvard Univ, Lyman Lab Phys, Cambridge, MA 02138 USA
[2] CALTECH, Pasadena, CA 91125 USA
关键词
D O I
10.1103/PhysRevD.59.046003
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We investigate the details of the bulk-boundary correspondence in Lorentzian signature anti-de Sitter space. Operators in the boundary theory couple to sources identified with the boundary values of non-normalizable bulk modes. Such modes do not fluctuate and provide classical backgrounds on which bulk excitations propagate. Normalizable modes in the bulk arise as a set of saddlepoints of the action for a fixed boundary condition. They fluctuate and describe the Hilbert space of physical states. We provide an explicit, complete set of both types of modes for free scalar fields in global and Poincare coordinates. For AdS(3), the normalizable and non-normalizable modes originate in the possible representations of the isometry group SL(2,R)(L) X SL(2,R)(R) for a field of given mass. We discuss the group properties of mode solutions in both global and Poincare coordinates and their relation to different expansions of operators on the cylinder and on the plane. Finally, we discuss the extent to which the boundary theory is a useful description of the bulk spacetime. [S0556-2821(99)07502-5].
引用
收藏
页数:16
相关论文
共 45 条
  • [1] M theory on AdSpxS11-p and superconformal field theories
    Aharony, O
    Oz, Y
    Yin, Z
    [J]. PHYSICS LETTERS B, 1998, 430 (1-2) : 87 - 93
  • [2] [Anonymous], 1964, Handbook of mathematical functions
  • [3] [Anonymous], 1980, Gos. Izd-vo Fiz.-Mat. Literatury
  • [4] QUANTUM FIELD-THEORY IN ANTI-DE SITTER SPACE-TIME
    AVIS, SJ
    ISHAM, CJ
    STOREY, D
    [J]. PHYSICAL REVIEW D, 1978, 18 (10): : 3565 - 3576
  • [5] BLACK-HOLE IN 3-DIMENSIONAL SPACETIME
    BANADOS, M
    TEITELBOIM, C
    ZANELLI, J
    [J]. PHYSICAL REVIEW LETTERS, 1992, 69 (13) : 1849 - 1851
  • [6] BANADOS M, 1996, PHYS REV D, V52, P5816, DOI [10.1103/PhysRevD.52.5816, DOI 10.1103/PHYSREVD.52.5816]
  • [7] Non-perturbative effects in AdS5xS5 string theory and d=4 SUSY Yang-Mills
    Banks, T
    Green, MB
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 1998, (05): : XII - 15
  • [8] IRREDUCIBLE UNITARY REPRESENTATIONS OF THE LORENTZ GROUP
    BARGMANN, V
    [J]. ANNALS OF MATHEMATICS, 1947, 48 (03) : 568 - 640
  • [9] ON NON-COMPACT GROUPS .2. REPRESENTATIONS OF THE 2+1 LORENTZ GROUP
    BARUT, AO
    FRONSDAL, C
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1965, 287 (1411): : 532 - &
  • [10] THE FLUCTUATING 7-SPHERE IN 11-DIMENSIONAL SUPERGRAVITY
    BIRAN, B
    CASHER, A
    ENGLERT, F
    ROOMAN, M
    SPINDEL, P
    [J]. PHYSICS LETTERS B, 1984, 134 (3-4) : 179 - 183