Domain walls in MQCD and the Monge-Ampere equation

被引:11
|
作者
Volovich, A
机构
[1] Univ Paris 06, LPTHE, F-75252 Paris 05, France
[2] Univ Paris 07, LPTHE, F-75252 Paris 05, France
关键词
D O I
10.1103/PhysRevD.59.065005
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study Witten's proposal that a domain wall exists in an M-theory fivebrane version of QCD (MQCD) and that it can be represented as a supersymmetric three-cycle in a G(2) holonomy manifold. It is shown that equations defining the U(1) invariant domain wall for an SU(2) group can be reduced to the Monge-Ampere equation. A proof of an algebraic formula of Kaplunovsky, Sonnenschein, and Yankielowicz is presented. The formal solution of equations for domain wall is constructed, [S0556-2821(98)05920-7].
引用
收藏
页数:9
相关论文
共 50 条
  • [1] On the Monge-Ampere equation in a polynomial domain
    Aminov, Yu. A.
    DOKLADY MATHEMATICS, 2013, 88 (01) : 425 - 426
  • [2] ON THE MONGE-AMPERE EQUATION
    Figalli, Alessio
    ASTERISQUE, 2019, (414) : 477 - 503
  • [3] THE HOMOGENEOUS MONGE-AMPERE EQUATION ON A PSEUDOCONVEX DOMAIN
    GUILLEMIN, V
    ASTERISQUE, 1992, (210) : 97 - 113
  • [4] The Monge-Ampere Equation
    DYNAMICAL AND GEOMETRIC ASPECTS OF HAMILTON-JACOBI AND LINEARIZED MONGE-AMPERE EQUATIONS, VIASM 2016, 2017, 2183 : 73 - 123
  • [5] A property for the Monge-Ampere equation
    Puglisi, Daniele
    ISRAEL JOURNAL OF MATHEMATICS, 2020, 236 (02) : 959 - 965
  • [6] A nonlocal Monge-Ampere equation
    Caffarelli, Luis
    Silvestre, Luis
    COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2016, 24 (02) : 307 - 335
  • [7] A COMPLEX MONGE-AMPERE EQUATION
    LAVIL, G
    RAMADANOV, IP
    DOKLADY AKADEMII NAUK SSSR, 1984, 275 (03): : 546 - 548
  • [8] MONGE-AMPERE EQUATION IN MAGNETOHYDRODYNAMICS
    GUNDERSE.RM
    JOURNAL OF MATHEMATICS AND MECHANICS, 1967, 17 (06): : 491 - &
  • [9] On the Levi Monge-Ampere Equation
    Montanari, Annamaria
    FULLY NONLINEAR PDES IN REAL AND COMPLEX GEOMETRY AND OPTICS - CETRARO, ITALY 2012, 2014, 2087 : 151 - 208
  • [10] The Linearized Monge-Ampere Equation
    DYNAMICAL AND GEOMETRIC ASPECTS OF HAMILTON-JACOBI AND LINEARIZED MONGE-AMPERE EQUATIONS, VIASM 2016, 2017, 2183 : 35 - 72