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W(E_10) Symmetry, M-Theory and Painleve Equations | Shun’ya Mizoguchi
; Yasuhiko Yamada
; | Date: |
22 Feb 2002 | Journal: | Phys.Lett. B537 (2002) 130-140 | Subject: | hep-th | Abstract: | The Weyl group symmetry W(E_k) is studied from the points of view of the E-strings, Painleve equations and U-duality. We give a simple reformulation of the elliptic Painleve equation in such a way that the hidden symmetry W(E_10) is manifestly realized. This reformulation is based on the birational geometry of the del Pezzo surface and closely related to Seiberg-Witten curves describing the E-strings. The relation of the W(E_k) symmetry to the duality of M-theory on a torus is discussed on the level of string equations of motion. | Source: | arXiv, hep-th/0202152 | Services: | Forum | Review | PDF | Favorites |
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