ON THE GEOMETRY OF THE BATALIN-VILKOVISKY FORMALISM

被引:39
|
作者
KHUDAVERDIAN, OM
NERSESSIAN, AP
机构
关键词
D O I
10.1142/S0217732393003676
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
An invariant definition of the operator DELTA of the Batalin-Vilkovisky formalism is proposed. It is defined as the divergence of a Hamiltonian vector field with an odd Poisson bracket (anti-bracket). Its main properties, which follow from this definition, as well as an example of realization of Kahlerian supermanifolds, are considered. The geometrical meaning of the Batalin-Vilkovisky formalism is discussed.
引用
收藏
页码:2377 / 2385
页数:9
相关论文
共 50 条
  • [41] When Ext is a Batalin-Vilkovisky algebra
    Kowalzig, Niels
    JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2018, 12 (03) : 1080 - 1130
  • [42] Batalin-Vilkovisky integrals in finite dimensions
    Albert, C.
    Bleile, B.
    Froehlich, J.
    JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (01)
  • [43] BATALIN-VILKOVISKY ANALYSIS OF SUPERSYMMETRIC SYSTEMS
    BAULIEU, L
    BELLON, M
    OUVRY, S
    WALLET, JC
    PHYSICS LETTERS B, 1990, 252 (03) : 387 - 394
  • [44] Batalin-Vilkovisky Quantization and Supersymmetric Twists
    Safronov, Pavel
    Williams, Brian R.
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2023, 402 (01) : 35 - 77
  • [45] Batalin-Vilkovisky quantization and the algebraic index
    Grady, Ryan E.
    Li, Qin
    Li, Si
    ADVANCES IN MATHEMATICS, 2017, 317 : 575 - 639
  • [46] Global anomalies in the Batalin-Vilkovisky quantization
    Amorim, R
    Braga, NRF
    PHYSICAL REVIEW D, 1998, 57 (02) : 1225 - 1232
  • [47] BATALIN-VILKOVISKY COALGEBRA OF STRING TOPOLOGY
    Chen, Xiaojun
    Gan, Wee Liang
    PACIFIC JOURNAL OF MATHEMATICS, 2010, 247 (01) : 27 - 45
  • [48] Classes on the moduli space of Riemann surfaces through a noncommutative Batalin-Vilkovisky formalism
    Hamilton, Alastair
    ADVANCES IN MATHEMATICS, 2013, 243 : 67 - 101
  • [49] Symmetries and the antibracket: The Batalin-Vilkovisky method
    Alfaro, J
    FIRST LATIN AMERICAN SYMPOSIUM ON HIGH ENERGY PHYSICS AND VII MEXICAN SCHOOL OF PARTICLES AND FIELDS, 1997, (400): : 293 - 326
  • [50] Batalin-Vilkovisky structures on Ext and Tor
    Kowalzig, Niels
    Kraehmer, Ulrich
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2014, 697 : 159 - 219