scholarly journals Global regularity for the Yang–Mills equations on high dimensional Minkowski space

2012 ◽  
Vol 223 (1047) ◽  
pp. 1 ◽  
Author(s):  
Joachim Krieger ◽  
Jacob Sterbenz
Keyword(s):  
Minkowski Space ◽  
Global Regularity ◽  
High Dimensional ◽  
Yang Mills ◽  
Dimensional Minkowski Space

scholarly journals Friedmann cosmology in Regge-Teitelboim gravity

2016 ◽  
Vol 41 ◽  
pp. 1660128 ◽  
Author(s):  
A. A. Sheykin ◽  
S. A. Paston
Keyword(s):  
Field Theory ◽  
Minkowski Space ◽  
Scalar Fields ◽  
Ambient Space ◽  
High Dimensional ◽  
Friedmann Universe ◽  
Quantization Procedure ◽  
Original Theory ◽  
Dimensional Minkowski Space ◽  
Embedded Surfaces

This paper is devoted to the approach to gravity as a theory of a surface embedded in a flat ambient space. After the brief review of the properties of original theory by Regge and Teitelboim we concentrate on its field-theoretic reformulation, which we call splitting theory. In this theory embedded surfaces are defined through the constant value surfaces of some set of scalar fields in high-dimensional Minkowski space. We obtain an exact expressions for this scalar fields in the case of Friedmann universe. We also discuss the features of quantization procedure for this field theory.

THE STATIC AXIALLY SYMMETRIC SELF-DUAL YANG-MILLS FIELDS AND SURFACES OF NEGATIVE CURVATURE

1986 ◽  
Vol 01 (01) ◽  
pp. 193-210
Author(s):  
BO-YU HOU ◽  
BO-YUAN HOU ◽  
PEI WANG
Keyword(s):  
Minkowski Space ◽  
Negative Curvature ◽  
Complete Integrability ◽  
Axially Symmetric ◽  
Yang Mills ◽  
3 Dimensional ◽  
Variable Curvature ◽  
Dimensional Minkowski Space ◽  
Geometric Picture ◽  
Adjoint Space

An explicit geometric picture about the complete integrability of the static axially symmetric self-dual Yang-Mills equation and the gravitational Ernst equation is presented. The corresponding soliton surfaces in adjoint space (3-dimensional Minkowski space) has negative variable curvature. The Riccati equation is also given, so that the integrability of the Bäcklund transformation gets the confirmation.

scholarly journals (N, p, q) HARMONIC SUPERSPACE

1995 ◽  
Vol 10 (27) ◽  
pp. 3901-3919 ◽  
Author(s):  
G.G. HARTWELL ◽  
P.S. HOWE
Keyword(s):  
Minkowski Space ◽  
Space Time ◽  
Harmonic Superspace ◽  
Curved Space ◽  
Yang Mills ◽  
Invariant Integrals ◽  
Minkowski Space Time ◽  
Dimensional Minkowski Space ◽  
Harmonic Superspaces ◽  
Super Yang Mills Theory

A family of harmonic superspaces associated with four-dimensional Minkowski space-time is described. Applications are made to free massless supermultiplets, invariant integrals and super-Yang-Mills theory. Generalization to curved space-times is performed, with emphasis on conformal supergravities.

scholarly journals Restrictions of Heterotic G2 Structures and Instanton Connections

2018 ◽  
pp. 503-518
Author(s):  
Xenia de la Ossa ◽  
Magdalena Larfors ◽  
Eirik E. Svanes
Keyword(s):  
Minkowski Space ◽  
Covariant Derivative ◽  
Heterotic String ◽  
Yang Mills ◽  
Dimensional Minkowski Space

This chapter revisits recent results regarding the geometry and moduli of solutions of the heterotic string on manifolds Y with a G 2 structure. In particular, such heterotic G 2 systems can be rephrased in terms of a differential Ď acting on a complex Ωˇ∗(Y,Q), where Ωˇ=T∗Y⊕End(TY)⊕End(V), and Ď is an appropriate projection of an exterior covariant derivative D which satisfies an instanton condition. The infinitesimal moduli are further parametrized by the first cohomology HDˇ1(Y,Q). The chapter proceeds to restrict this system to manifolds X with an SU(3) structure corresponding to supersymmetric compactifications to four-dimensional Minkowski space, often referred to as Strominger–Hull solutions. In doing so, the chapter derives a new result: the Strominger–Hull system is equivalent to a particular holomorphic Yang–Mills covariant derivative on Q|X=T∗X⊕End(TX)⊕End(V).

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