 07151 D. N. Diep, D. V. Duc, H.V. Tan, N. A. Viet
 ConvolutionWedge Product of Fields in AntiSymmetric Metric Regime Is Defined Through ElectricMagnetic Duality and Mirror Symmetry
(23K, LaTeX 2e)
Jun 24, 07

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. In this paper we use the pair of electricmagnetic (or GNO, or Langlands) duality groups $G=Sp(1)$ and ${}^LG=SO(3)$ and the Ttransformation in mirror symmetry (or the Sduality, or the FourierMukai transformation) to define the wedge product of fields: first by using gauge transformation, we reduce the fields with values in $Lie G=Sp(1)$ to the fields with values in the Lie algebra of the maximal torus $\mathfrak t \subset Lie G=Sp(1)$. Next we use the FourierMukai transformation of fields to have the images as fields with values in the Lie algebra of the Langlands dual torus ${}^L\mathfrak t$ in $Lie {}^LG= SO(3)$. The desired wedge product of two fields is defined as the preimage of the ordinary wedge product of images with values in ${}^L\mathfrak t \subset SO(3)$.
 Files:
07151.src(
07151.keywords ,
wedgeprod2.tex )