Prelogarithmic operators and Jordan blocks in SL(2)k affine algebra

被引：19

作者：

Giribet, G ^{[1
]}

机构：

[1] Consejo Nacl Invest Cient & Tecn, Inst Astron & Fis Espacio, RA-1428 Buenos Aires, DF, Argentina

来源：

MODERN PHYSICS LETTERS A | 2001年 / 16卷 / 13期

关键词：

D O I：

10.1142/S0217732301004029

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The free field description of logarithmic and prelogarithmic operators in noncompact Wess-Zumino-Witten model is analyzed. We study the Jordan blocks structure of the <(SL(2)(k))over cap> affine algebra and the role of the puncture operator in the theory in relation with the unitarity bound.

引用

页码：821 / 834

页数：14

共 50 条

[31] Graded polynomial identities for the Lie algebra sl2(K)
Koshlukov, Plamen
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2008, 18 (05) : 825 - 836
[32] Weight function for the quantum affine algebra Uq (sl3)
Pakuliak, SZ
Khoroshkin, SM
THEORETICAL AND MATHEMATICAL PHYSICS, 2005, 145 (01) : 1373 - 1399
[33] Free field realizations of the elliptic affine Lie algebra sl(2, R) ⊕ (ΩR/dR)
Bueno, Andre
Cox, Ben
Futorny, Vyacheslav
JOURNAL OF GEOMETRY AND PHYSICS, 2009, 59 (09) : 1258 - 1270
[34] Two-point functions in affine SL(N) current algebra
Rasmussen, J
MODERN PHYSICS LETTERS A, 1998, 13 (15) : 1213 - 1221
[35] Affine sl(N) conformal blocks from N=2 SU(N) gauge theories
Kozcaz, Can
Pasquetti, Sara
Passerini, Filippo
Wyllard, Niclas
JOURNAL OF HIGH ENERGY PHYSICS, 2011, (01):
[36] Explicit formulae for the Casimir Operators of semidirect products of a Heisenberg Lie Algebra and the simple Lie Algebra sl(2, C)
Campoamor-Stursberg, R
ACTA PHYSICA POLONICA B, 2004, 35 (08): : 2059 - 2067
[37] Sigma involutions associated with parafermion vertex operator algebra K(sl2, k)
Lam, Ching Hung
Yamada, Hiromichi
LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (21): : 6780 - 6819
[38] CRITICAL MODULES OF THE RING OF DIFFERENTIAL OPERATORS OF AN AFFINE SEMIGROUP ALGEBRA
Saito, Mutsumi
COMMUNICATIONS IN ALGEBRA, 2010, 38 (02) : 618 - 631
[39] Vector coherent state realization of representations of the affine Lie algebra (sl)over-cap(2)
Zhang, RB
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (18): : 6545 - 6551
[40] FREE-FIELD REPRESENTATION OF QUANTUM AFFINE ALGEBRA UQ ((SL)OVER-CAP2)
MATSUO, A
PHYSICS LETTERS B, 1993, 308 (3-4) : 260 - 265

← 1 2 3 4 5 →