STRUCTURE OF THE PLANAR GALILEAN CONFORMAL ALGEBRA

被引:14
作者
Gao, Shoulan [1 ]
Liu, Dong [1 ]
Pei, Yufeng [2 ]
机构
[1] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China
[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
关键词
planar Galilean conformal algebra; cohomology; automorphism; LIE-ALGEBRAS; VIRASORO ALGEBRA; EXTENSIONS; COHOMOLOGY; SYMMETRIES; MODULES;
D O I
10.1016/S0034-4877(16)30052-0
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we compute the low-dimensional cohomology groups of the planar Galilean conformal algebra introduced by Bagchi and Goparkumar. Consequently we determine its derivations, central extensions, and automorphisms.
引用
收藏
页码:107 / 122
页数:16
相关论文
共 31 条
  • [1] Aizawa N., 2012, P 7 MATH PHYS M SUMM
  • [2] Aizawa N., 2013, Lie Theory and Its Applications in Physics, VVolume 36, P301
  • [3] Aizawa N., 2011, ARXIV11120634
  • [4] HIGHEST WEIGHT REPRESENTATIONS AND KAC DETERMINANTS FOR A CLASS OF CONFORMAL GALILEI ALGEBRAS WITH CENTRAL EXTENSION
    Aizawa, Naruhiko
    Isaac, Phillip S.
    Kimura, Yuta
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2012, 23 (11)
  • [5] [Anonymous], 1994, CAMBRIDGE STUDIES AD
  • [6] MODULI SPACES OF CURVES AND REPRESENTATION-THEORY
    ARBARELLO, E
    DECONCINI, C
    KAC, VG
    PROCESI, C
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 117 (01) : 1 - 36
  • [7] Bagchi A., 2010, JHEP, V08, P004
  • [8] Bagchi A., 2013, JHEP, V5, P1
  • [9] Correspondence between Asymptotically Flat Spacetimes and Nonrelativistic Conformal Field Theories
    Bagchi, Arjun
    [J]. PHYSICAL REVIEW LETTERS, 2010, 105 (17)
  • [10] Galilean conformal algebras and AdS/CFT
    Bagchi, Arjun
    Gopakumar, Rajesh
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2009, (07):