2009/06/03 by Tong Chern, Chern, Tong
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.0906.0657
openalex publication_date 2009/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We studied the quantum dynamics of six dimensional 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 N=(2, 0) free tensor multiplet and work out its quantum mechanical theory. We then studied the T2 compactification of the QNG theory and argued that the resulting four dimensional quantum field theory is indeed the N=4 super-Yang-Mills theory with the SL(2, Z) duality coming from the mapping class symmetries of T2. 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 \mathbbPT that corresponded to the superconformal group U^*Sp(4|2, H)⊂ OSp(8|4, ℂ), encoded the full free tensor multiplet into it and made some speculations on the possible super-twistor formulation of the QNG theory.