Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-06-03
Physics
High Energy Physics
High Energy Physics - Theory
54 pages, 1 figures
Scientific paper
We studied the quantum dynamics of six dimensional $\mathcal{N}=(2, 0)$ superconformal field theory (the QNG theory). We developed the spinor technique for six-dimensional quantum field theories. By combining this technique with the canonical quantization procedure, we can overcome the subtlety of the chiral nature of $\mathcal{N}=(2, 0)$ free tensor multiplet and work out its quantum mechanical theory. We then studied the $\mathbf{T}^2$ compactification of the QNG theory and argued that the resulting four dimensional quantum field theory is indeed the $\mathcal{N}=4$ super-Yang-Mills theory with the $SL(2, \mathbf{Z})$ duality coming from the mapping class symmetries of $\mathbf{T}^2$. We also investigated the BPS self-dual string excitations by proposing a CFT description to their world sheet theory. At last, we constructed the super-twistor space $\hat{\mathbb{PT}}$ that corresponded to the superconformal group $U^*Sp(4|2, \mathbf{H})\subset OSp(8|4, \mathbb{C})$, encoded the full free tensor multiplet into it and made some speculations on the possible super-twistor formulation of the QNG theory.
No associations
LandOfFree
Superconformal Field Theory In Six Dimensions And Supertwistor does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Superconformal Field Theory In Six Dimensions And Supertwistor, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Superconformal Field Theory In Six Dimensions And Supertwistor will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-193650