A REALIZATION OF THE KAC-MOODY ALGEBRA ON HOLOMORPHIC FIELDS

被引：0

作者：

HABA, Z

机构：

[1] Inst. of Theor. Phys., Wroclaw Univ.

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 03期

关键词：

D O I：

10.1088/0305-4470/27/3/026

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss the loop group G(S1, G) of mappings of the circle S1 into a compact Lie group G. We show that there exists a realization of projective unitary representation of G in the Hilbert space of functionals of holomorphic fields with values in G(C) (the complexification of G). We show that this representation belongs to the discrete series of positive energy representations of G. We discuss the quantum field theory of holomorphic fields.

引用

页码：855 / 864

页数：10

共 50 条

[41] EMBEDDING INTO KAC-MOODY ALGEBRAS AND CONSTRUCTION OF FOLDING SUBALGEBRAS FOR GENERALIZED KAC-MOODY ALGEBRAS
NAITO, S
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1991, 67 (10) : 333 - 337
[42] The Trascendence of Kac-Moody Algebras
Fernandez-Ternero, Desamparados
Nunez-Valdes, Juan
FILOMAT, 2021, 35 (10) : 3445 - 3474
[43] CONTINUUM KAC-MOODY ALGEBRAS
Appel, Andrea
Sala, Francesco
Schiffmann, Olivier
MOSCOW MATHEMATICAL JOURNAL, 2022, 22 (02) : 177 - 224
[44] Kac-Moody代数简介
万哲先
卢才辉
北京师范学院学报(自然科学版), 1988, (01) : 1 - 12
[45] Hyperbolic Kac-Moody algebra from intersecting p-branes
Ivashchuk, VD
Kim, SW
Melnikov, VN
JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (08) : 4072 - 4083
[46] Deformed Kac-Moody algebra and noncommutative Fermi theory in two dimensions
AlMasri, M. W.
Wahiddin, M. R. B.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2021, 36 (26):
[47] A REMARKABLE REPRESENTATION OF THE SO(3,2) KAC-MOODY ALGEBRA
DOBREV, VK
SEZGIN, E
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1991, 6 (26): : 4699 - 4719
[48] VERTEX OPERATOR REPRESENTATIONS OF SU(2)K KAC-MOODY ALGEBRA
SAKAMOTO, M
TABUSE, M
PHYSICS LETTERS B, 1991, 260 (1-2) : 70 - 74
[49] SUPER KAC-MOODY ALGEBRA - CLASSIFICATION-THEORY .1.
PATI, KC
TRIPATHY, KC
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1990, 21 (05): : 485 - 499
[50] ON MKDV EQUATIONS RELATED TO THE AFFINE KAC-MOODY ALGEBRA A(5)((2))
Gerdjikov, Vladimir S.
Mladenov, Dimitar M.
Stefanov, Aleksander A.
Varbev, Stanislav K.
JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS, 2015, 39 : 17 - 31

← 1 2 3 4 5 →