MONOPOLES, MODULAR INVARIANCE AND CHERN-SIMONS FIELD-THEORY

被引：3

作者：

CRESCIMANNO, M

HOTES, SA

机构：

[1] UNIV CALIF BERKELEY,DEPT PHYS,BERKELEY,CA 94720

[2] UNIV CALIF BERKELEY,LAWRENCE BERKELEY LAB,BERKELEY,CA 94720

来源：

NUCLEAR PHYSICS B | 1992年 / 372卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0550-3213(92)90371-H

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 develop an operator construction of Chern-Simons effective quantum mechanics. A correspondence between the resulting Hilbert space and the conformal blocks of the WZW model is made. Under this identification the fusion algebra is derived. Some properties of the modular transformations in higher genus of rational conformal field theories are understood by including monopole backgrounds to the theory at genus one.

引用

收藏

页码：683 / 700

页数：18

相关论文

共 28 条

[1] OPEN STRINGS IN BACKGROUND GAUGE-FIELDS [J].

ABOUELSAOOD, A ;

CALLAN, CG ;

NAPPI, CR ;

YOST, SA .

NUCLEAR PHYSICS B, 1987, 280 (04) :599-624

[2] THE CHERN-SIMONS TERM VERSUS THE MONOPOLE [J].

AFFLECK, I ;

HARVEY, J ;

PALLA, L ;

SEMENOFF, G .

NUCLEAR PHYSICS B, 1989, 328 (03) :575-584

[3] A NOTE ON PERTURBATIVE CHERN-SIMONS THEORY [J].

ALVAREZGAUME, L ;

LABASTIDA, JMF ;

RAMALLO, AV .

NUCLEAR PHYSICS B, 1990, 334 (01) :103-124

[4] MONOPOLE BACKGROUNDS ON THE WORLD SHEET [J].

BARDAKCI, K ;

CRESCIMANNO, M .

NUCLEAR PHYSICS B, 1989, 313 (02) :269-292

[5] U(1) CHERN-SIMONS THEORY AND C=1 CONFORMAL BLOCKS [J].

BOS, M ;

NAIR, VP .

PHYSICS LETTERS B, 1989, 223 (01) :61-66

[6] COHERENT STATE QUANTIZATION OF CHERN-SIMONS THEORY [J].

BOS, M ;

NAIR, VP .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1990, 5 (05) :959-988

[7] PROBING TOPOLOGICAL FEATURES IN PERTURBATIVE CHERN-SIMONS GAUGE-THEORY [J].

CHEN, W ;

SEMENOFF, GW ;

WU, YS .

MODERN PHYSICS LETTERS A, 1990, 5 (23) :1833-1839

[8]

Coleman S. R., 1981, MAGNETIC MONOPOLE 50

[9]

CRESCIMANNO M, 1991, THESIS BERKELEY

[10] THE OPERATOR ALGEBRA OF ORBIFOLD MODELS [J].

DIJKGRAAF, R ;

VAFA, C ;

VERLINDE, E ;

VERLINDE, H .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 123 (03) :485-526