TOPOLOGICAL FIELD-THEORY AND RATIONAL CURVES

被引:123
作者
ASPINWALL, PS [1 ]
MORRISON, DR [1 ]
机构
[1] DUKE UNIV,DEPT MATH,DURHAM,NC 27706
基金
美国国家科学基金会;
关键词
D O I
10.1007/BF02096768
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We analyze the quantum field theory corresponding to a string propagating on a Calabi-Yau threefold. This theory naturally leads to the consideration of Witten's topological non-linear sigma-model and the structure of rational curves on the Calabi-Yau manifold. We study in detail the case of the world-sheet of the string being mapped to a multiple cover of an isolated rational curve and we show that a natural compactification of the moduli space of such a multiple cover leads to a formula in agreement with a conjecture by Candelas, de la Ossa, Green and Parkes.
引用
收藏
页码:245 / 262
页数:18
相关论文
共 28 条
  • [1] QUANTUM ALGEBRAIC-GEOMETRY OF SUPERSTRING COMPACTIFICATIONS
    ASPINWALL, PS
    LUTKEN, CA
    [J]. NUCLEAR PHYSICS B, 1991, 355 (02) : 482 - 510
  • [2] CONSTRUCTION AND COUPLINGS OF MIRROR MANIFOLDS
    ASPINWALL, PS
    LUTKEN, CA
    ROSS, GG
    [J]. PHYSICS LETTERS B, 1990, 241 (03) : 373 - 380
  • [3] Atiyah M. F., 1990, Journal of Geometry and Physics, V7, P119, DOI 10.1016/0393-0440(90)90023-V
  • [4] INFINITE CONFORMAL SYMMETRY IN TWO-DIMENSIONAL QUANTUM-FIELD THEORY
    BELAVIN, AA
    POLYAKOV, AM
    ZAMOLODCHIKOV, AB
    [J]. NUCLEAR PHYSICS B, 1984, 241 (02) : 333 - 380
  • [5] BOTT R, 1982, GRADUATE TEXTS MATH, V82
  • [6] STRINGS IN BACKGROUND FIELDS
    CALLAN, CG
    FRIEDAN, D
    MARTINEC, EJ
    PERRY, MJ
    [J]. NUCLEAR PHYSICS B, 1985, 262 (04) : 593 - 609
  • [7] A PAIR OF CALABI-YAU MANIFOLDS AS AN EXACTLY SOLUBLE SUPERCONFORMAL THEORY
    CANDELAS, P
    DELAOSSA, XC
    GREEN, PS
    PARKES, L
    [J]. NUCLEAR PHYSICS B, 1991, 359 (01) : 21 - 74
  • [8] VACUUM CONFIGURATIONS FOR SUPERSTRINGS
    CANDELAS, P
    HOROWITZ, GT
    STROMINGER, A
    WITTEN, E
    [J]. NUCLEAR PHYSICS B, 1985, 258 (01) : 46 - 74
  • [9] Clemens H., 1988, ASTERISQUE, V166
  • [10] Clemens H., 1984, TOPICS TRANSCENDENTA