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Heterotic Modular Invariants and Level--Rank Duality | T. Gannon
; M. A. Walton
; | Date: |
6 Apr 1998 | Journal: | Nucl.Phys. B536 (1998) 553-574 | Subject: | hep-th | Abstract: | New heterotic modular invariants are found using the level-rank duality of affine Kac-Moody algebras. They provide strong evidence for the consistency of an infinite list of heterotic Wess-Zumino-Witten (WZW) conformal field theories. We call the basic construction the dual-flip, since it flips chirality (exchanges left and right movers) and takes the level-rank dual. We compare the dual-flip to the method of conformal subalgebras, another way of constructing heterotic invariants. To do so, new level-one heterotic invariants are first found; the complete list of a specified subclass of these is obtained. We also prove (under a mild hypothesis) an old conjecture concerning exceptional $A_{r,k}$ invariants and level-rank duality. | Source: | arXiv, hep-th/9804040 | Services: | Forum | Review | PDF | Favorites |
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