Kahler geometry and SUSY mechanics

被引:23
|
作者
Bellucci, S
Nersessian, A
机构
[1] Ist Nazl Fis Nucl, Lab Nazl Frascati, I-00044 Frascati, Italy
[2] Joint Inst Nucl Res, Bogolyubov Lab Theoret Phys, Dubna 141980, Russia
[3] Yerevan State Univ, Yerevan 375025, Armenia
关键词
D O I
10.1016/S0920-5632(01)01560-2
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 present two examples of SUSY mechanics related with Kahler geometry. The first system is the N = 4 supersymmetric one-dimensional sigma-model proposed in hep-th/0101065. Another system is the N = 2 SUSY mechanics whose phase space is the external algebra of an arbitrary Kahler manifold. The relation of these models with antisymplectic geometry is discussed.
引用
收藏
页码:227 / 232
页数:6
相关论文
共 50 条
  • [31] HYPERKAHLER AND QUATERNIONIC KAHLER GEOMETRY
    SWANN, A
    MATHEMATISCHE ANNALEN, 1991, 289 (03) : 421 - 450
  • [32] Symmetries in generalized Kahler geometry
    Lin, Yi
    Tolman, Susan
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 268 (01) : 199 - 222
  • [33] TWISTOR METHODS IN KAHLER GEOMETRY
    NANNICINI, A
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1992, 6A (03): : 411 - 417
  • [34] ON THE AXIOM OF SPHERES IN KAHLER GEOMETRY
    KASSABOV, OT
    DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1982, 35 (03): : 303 - 305
  • [35] Ricci curvature in Kahler geometry
    Sun, Song
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2017, 28 (09)
  • [36] The Kahler geometry of Bott manifolds
    Boyer, Charles P.
    Calderbank, David M. J.
    Tonnesen-Friedman, Christina W.
    ADVANCES IN MATHEMATICS, 2019, 350 : 1 - 62
  • [37] Generalized Kahler geometry and gerbes
    Hull, Chris M.
    Lindstrom, Ulf
    Rocek, Martin
    von Unge, Rikard
    Zabzine, Maxim
    JOURNAL OF HIGH ENERGY PHYSICS, 2009, (10):
  • [38] KAHLER GEOMETRY ON HURWITZ SPACES
    Naumann, Philipp
    DOCUMENTA MATHEMATICA, 2018, 23 : 1829 - 1861
  • [39] ON THE GEOMETRY OF AFFINE KAHLER IMMERSIONS
    NOMIZU, K
    PINKALL, U
    PODESTA, F
    NAGOYA MATHEMATICAL JOURNAL, 1990, 120 : 205 - 222
  • [40] What is special Kahler geometry?
    Craps, B
    Roose, F
    Troost, W
    VanProeyen, A
    NUCLEAR PHYSICS B, 1997, 503 (03) : 565 - 613