SEIBERG-WITTEN EQUATIONS ON 8-DIMENSIONAL MANIFOLDS WITH SU(4)-STRUCTURE

被引：0

作者：

Karapazar, Senay ^{[1
]}

机构：

[1] Anadolu Univ, Dept Math, Eskisehir, Turkey

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2013年 / 10卷 / 03期

关键词：

Self-duality; spinor; Dirac operator; SU(4)-structure; Seiberg-Witten equations; 8-MANIFOLDS; HOLONOMY; SPIN(7);

D O I：

10.1142/S0219887812200320

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Seiberg-Witten equations on 8-manifolds with Spin(7)-holonomy are introduced in [A. H. Bilge, T. Dereli and S. Kocak, Monopole equations on 8-manifolds with Spin(7) holonomy, Commun. Math. Phys. 203(1) (1999) 21-30] and it is given a local solution for these equations. In this work, we write down similar Seiberg-Witten equations on 8-dimensional manifolds with SU(4)-structure and give a global solution for these equations.

引用

页数：9

共 50 条

[11] Seiberg-Witten invariants on manifolds with Riemannian foliations of codimension 4
Kordyukov, Yuri
Lejmi, Mehdi
Weber, Patrick
JOURNAL OF GEOMETRY AND PHYSICS, 2016, 107 : 114 - 135
[12] Seiberg-Witten invariants and double covers of 4-manifolds
Ruan, YB
Wang, SG
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2000, 8 (03) : 477 - 515
[13] Seiberg-Witten equations and 4-manifold topology
Donaldson, SK
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 33 (01) : 45 - 70
[14] The Seiberg-Witten equations on Hermitian surfaces
Lupascu, P
MATHEMATISCHE NACHRICHTEN, 2002, 242 : 132 - 147
[15] Seiberg-Witten invariants and vortex equations
Garcia-Prada, O
SYMETRIES QUANTIQUES: LXIVTH SESSION OF THE LES HOUCHES SUMMER SCHOOL, 1998, : 885 - 934
[16] WDVV equations and Seiberg-Witten theory
Mironov, A
INTEGRABILITY: THE SEIBERG-WITTEN AND WHITHAM EQUATIONS, 2000, : 103 - 123
[17] Variational principle for the Seiberg-Witten equations
Doria, CM
Contributions to Nonlinear Analysis: A TRIBUTE TO D. G. DE FIGUEIREDO ON THE OCCASION OF HIS 70TH BIRTHDAY, 2006, 66 : 247 - 261
[18] SEIBERG-WITTEN EQUATIONS WITH NEGATIVE SING
Degirmenci, Nedim
Ozdemir, Nulifer
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2010, 3 (02): : 40 - 48
[19] The geometry and physics of the Seiberg-Witten equations
Wu, SY
GEOMETRIC ANALYSIS AND APPLICATIONS TO QUANTUM FIELD THEORY, 2002, 205 : 157 - 203
[20] The perturbation of the Seiberg-Witten equations revisited
Furuta, Mikio
Matsuo, Shinichiroh
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2016, 68 (04) : 1655 - 1668

← 1 2 3 4 5 →