TOPOLOGICAL CONFORMAL ALGEBRA AND BRST ALGEBRA IN NONCRITICAL STRING THEORIES

被引:9
作者
FUJIKAWA, K [1 ]
SUZUKI, H [1 ]
机构
[1] HIROSHIMA UNIV,DEPT PHYS,HIROSHIMA 730,JAPAN
关键词
D O I
10.1016/0550-3213(91)90272-Y
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
The operator algebra in non-critical string theories is studied by treating the cosmological term as a perturbation. The algebra of covariantly regularized BRST and related currents contains a twisted N = 2 superconformal algebra only at d = - 2 in bosonic strings, and a twisted N = 3 superconformal algebra only at d = +/- infinity in spinning strings. The bosonic string at d = -2 is examined by replacing the string coordinate by a fermionic matter with c = -2. The resulting bc-beta-gamma-system accommodates various forms of BRST cohomology, and the ghost number assignment and BRST cohomology are different in the c = -2 string theory and two-dimensional topological gravity.
引用
收藏
页码:539 / 554
页数:16
相关论文
共 30 条
[21]   TOPOLOGICAL GRAVITY AND MODULI SPACE [J].
MYERS, RC ;
PERIWAL, V .
NUCLEAR PHYSICS B, 1990, 333 (02) :536-550
[22]  
Polyakov A.M., 1987, MOD PHYS LETT A, V2, P893, DOI [DOI 10.1142/S0217732387001130, 10.1142/S0217732387001130]
[23]   QUANTUM GEOMETRY OF BOSONIC STRINGS [J].
POLYAKOV, AM .
PHYSICS LETTERS B, 1981, 103 (03) :207-210
[24]  
ROCEK M, 1986, ANN PHYS-NEW YORK, V172, P348, DOI 10.1016/0003-4916(86)90187-9
[25]   A SOLUTION OF 2-DIMENSIONAL TOPOLOGICAL QUANTUM-GRAVITY [J].
VERLINDE, E ;
VERLINDE, H .
NUCLEAR PHYSICS B, 1991, 348 (03) :457-489
[26]   ON THE STRUCTURE OF THE TOPOLOGICAL PHASE OF 2-DIMENSIONAL GRAVITY [J].
WITTEN, E .
NUCLEAR PHYSICS B, 1990, 340 (2-3) :281-332
[27]   TOPOLOGICAL SIGMA-MODELS [J].
WITTEN, E .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 118 (03) :411-449
[28]   CONSTRAINTS ON SUPERSYMMETRY BREAKING [J].
WITTEN, E .
NUCLEAR PHYSICS B, 1982, 202 (02) :253-316
[29]   NONCOMMUTATIVE GEOMETRY AND STRING FIELD-THEORY [J].
WITTEN, E .
NUCLEAR PHYSICS B, 1986, 268 (02) :253-294
[30]   HIDDEN HIGHER SUPERSYMMETRIES IN TOPOLOGICAL CONFORMAL FIELD-THEORIES [J].
YOSHII, H .
PHYSICS LETTERS B, 1991, 259 (03) :279-284