MANIN FAIRS AND TOPOLOGICAL CONFORMAL FIELD-THEORY

被引：17

作者：

GETZLER, E

机构：

[1] Department of Mathematics, MIT 2-390, Cambridge

来源：

ANNALS OF PHYSICS | 1995年 / 237卷 / 01期

关键词：

D O I：

10.1006/aphy.1995.1008

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a general class of topological conformal held theories which are consistent string backgrounds, and we present some examples which arise as coset models associated to what Drinfeld has called a Manin pair. These models are obtained by twisting a superconformal field theory in which the OPE G(-)(z).G(-)(w) has a simple pole, whose residue is a BRST commutator. (The resulting chiral algebra has been studied by Kazama.) We show how this type of topological conformal field theory may be coupled to topological gravity, retrieving a full twisted N=2 superconformal symmetry in the process. (C) 1995 Academic Press, Inc.

引用

页码：161 / 201

页数：41

共 25 条

[1]

Aharony O., Ganor O., Sochen N., Sonnenschein J., Yankielowicz S., Physical states in G/G models and two-dimensional gravity, Nucl. Phys. B, 399, pp. 527-559, (1993)

[2]

Aharony O., Ganor O., Sonnenschein J., Yankielowicz S., On the twisted G/H topological models, Nucl. Phys. B, 399, pp. 560-580, (1993)

[3]

Belavin A.A., Polyakov A.M., Zamolodchikov A.M., Infinite conformal symmetry in two- dimensional quantum field theories, Nucl. Phys. B, 241, pp. 333-380, (1984)

[4]

Bershadsky M., Lerche W., Nemeschansky D., Warner N.P., Extended N = 2 superconfor- mal structure of gravity and (E-gravity coupled to matter, Nucl. Phys. B, 401, pp. 304-347, (1993)

[5]

Borcherds R.E., Vertex operator algebras, Kac-Moody algebras and the monster, Proc. Nat. Acad. Sci. USA, 83, pp. 3068-3071, (1986)

[6]

Drinfeld V.G., Quasi-Hopf algebras, Leningrad Math. J., 1, pp. 1419-1457, (1990)

[7]

Figueroa-O'farill J.M., Affine algebras, N — 2 superconformal algebras, and gauged WZNW models, Phys. Lett. B, 316, pp. 496-502, (1993)

[8]

Frenkel E., Cohomology of Kazama-Suzuki Model

[9]

Getzler E., Batalin-Vilkovisky algebras and two-dimensional topological field theories, Commun. Math. Phys., 159, pp. 265-285, (1994)

[10]

Getzler E., Two-dimensional topological gravity and equivariant cohomology, Commun. Math. Phys., 163, pp. 473-490, (1994)

← 1 2 3 →