CHARACTER AND DETERMINANT FORMULAS OF QUASIFINITE REPRESENTATION OF THE W-1+INFINITY ALGEBRA

被引：22
作者：
AWATA, H
FUKUMA, M
MATSUO, Y
ODAKE, S
机构：
[1] KYOTO UNIV,YUKAWA INST THEORET PHYS,KYOTO 606,JAPAN
[2] KYOTO UNIV,YUKAWA INST THEORET PHYS,UJI RES CTR,UJI,KYOTO 611,JAPAN
[3] SHINSHU UNIV,FAC LIBERAL ARTS,DEPT PHYS,MATSUMOTO,NAGANO 390,JAPAN
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1995年 / 172卷 / 02期
关键词：
D O I：
10.1007/BF02099433
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We diagonalize the Hilbert space of some subclass of the quasifinite module of the W-1+infinity algebra. States are classified according to their eigenvalues for infinitely many commuting charges and the Young diagrams. The parameter dependence of their norms is explicitly derived. The full character formulae of the degenerate representations are given as summation of the bilinear combinations of the Schur polynomials.
引用
收藏
页码：377 / 400
页数：24
相关论文
共 35 条
  • [1] SUBALGEBRAS OF W-1+INFINITY AND THEIR QUASIFINITE REPRESENTATIONS
    AWATA, H
    FUKUMA, M
    MATSUO, Y
    ODAKE, S
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (01): : 105 - 112
  • [2] DETERMINANT FORMULAS OF QUASI-FINITE REPRESENTATION OF W1+INFINITY ALGEBRA AT LOWER LEVELS
    AWATA, H
    FUKUMA, M
    MATSUO, Y
    ODAKE, S
    [J]. PHYSICS LETTERS B, 1994, 332 (3-4) : 336 - 344
  • [3] EIGENSYSTEM AND FULL CHARACTER FORMULA OF THE W-1+INFINITY ALGEBRA WITH C=1
    AWATA, H
    FUKUMA, M
    ODAKE, S
    QUANO, YH
    [J]. LETTERS IN MATHEMATICAL PHYSICS, 1994, 31 (04) : 289 - 298
  • [4] AWATA H, IN PRESS COMMUN MATH
  • [5] AWATA H, 1994, IN PRESS PROG THEO S
  • [6] UNIVERSAL W-ALGEBRAS IN QUANTUM-FIELD THEORY
    BAKAS, I
    KIRITSIS, EB
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1991, 6 (16): : 2871 - 2890
  • [7] INFINITE CONFORMAL SYMMETRY IN TWO-DIMENSIONAL QUANTUM-FIELD THEORY
    BELAVIN, AA
    POLYAKOV, AM
    ZAMOLODCHIKOV, AB
    [J]. NUCLEAR PHYSICS B, 1984, 241 (02) : 333 - 380
  • [8] THE STRUCTURE OF THE SUPER-WINFINITY(LAMBDA)-ALGEBRA
    BERGSHOEFF, E
    DEWIT, B
    VASILIEV, M
    [J]. NUCLEAR PHYSICS B, 1991, 366 (02) : 315 - 346
  • [9] PROPERTIES OF THE 11-DIMENSIONAL SUPERMEMBRANE THEORY
    BERGSHOEFF, E
    SEZGIN, E
    TOWNSEND, PK
    [J]. ANNALS OF PHYSICS, 1988, 185 (02) : 330 - 368
  • [10] THE SUPER W-INFINITY ALGEBRA
    BERGSHOEFF, E
    POPE, CN
    ROMANS, LJ
    SEZGIN, E
    SHEN, X
    [J]. PHYSICS LETTERS B, 1990, 245 (3-4) : 447 - 452
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