Curved-space classical solutions of a massive supermatrix model

被引：18
作者：
Azuma, T [1 ]
Bagnoud, M
机构：
[1] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan
[2] Univ Neuchatel, Inst Phys, CH-2000 Neuchatel, Switzerland
来源：
NUCLEAR PHYSICS B | 2003年 / 651卷 / 1-2期
关键词：
D O I：
10.1016/S0550-3213(02)01072-6
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We investigate here a supermatrix model with a mass term and a cubic interaction. It is based on the super Lie algebra osp(1/32, R), which could play a role in the construction of the eleven-dimensional M-theory. This model contains a massive version of the IIB matrix model, where some fields have a tachyonic mass term. Therefore, the trivial vacuum of this theory is unstable. However, this model possesses several classical solutions where these fields build noncommutative curved spaces and these solutions are shown to be energetically more favorable than the trivial vacuum. In particular, we describe in details two cases, the SO(3) x SO(3) x SO(3) (three fuzzy 2-spheres) and the SO(9) (fuzzy 8-sphere) classical backgrounds. (C) 2002 Elsevier Science B.V All rights reserved.
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收藏
页码：71 / 86
页数：16
相关论文
共 36 条
  • [1] Aoki H, 1999, PROG THEOR PHYS SUPP, P47, DOI 10.1143/PTPS.134.47
  • [2] Space-time structures from IIB matrix model
    Aoki, H
    Iso, S
    Kawai, H
    Kitazawa, Y
    Tada, T
    [J]. PROGRESS OF THEORETICAL PHYSICS, 1998, 99 (05): : 713 - 745
  • [3] Non-commutative Yang-Mills in IIB matrix model
    Aoki, H
    Ishibashi, N
    Iso, S
    Kawai, H
    Kitazawa, Y
    Tada, T
    [J]. NUCLEAR PHYSICS B, 2000, 565 (1-2) : 176 - 192
  • [4] Matrix model with manifest general coordinate invariance
    Azuma, T
    Kawai, H
    [J]. PHYSICS LETTERS B, 2002, 538 (3-4) : 393 - 405
  • [5] Supermatrix models
    Azuma, T
    Iso, S
    Kawai, H
    Ohwashi, Y
    [J]. NUCLEAR PHYSICS B, 2001, 610 (1-2) : 251 - 279
  • [6] AZUMA T, HEPTH0103003
  • [7] Supermatrix models for M-theory based on osp(1|32, R)
    Bagnoud, M
    Carlevaro, L
    Bilal, A
    [J]. NUCLEAR PHYSICS B, 2002, 641 (1-2) : 61 - 92
  • [8] M theory as a matrix model: A conjecture
    Banks, T
    Fischler, W
    Shenker, SH
    Susskind, L
    [J]. PHYSICAL REVIEW D, 1997, 55 (08): : 5112 - 5128
  • [9] The many faces of OSp(1|32)
    Bergshoeff, E
    Van Proeyen, A
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2000, 17 (16) : 3277 - 3303
  • [10] BERNSTEIN D, 2002, JHEP, V204
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