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OM Theory and V-duality | | R.-G. Cai
; J. X. Lu
; N. Ohta
; S. Roy
; Y.-S. Wu
; | | Date: |
11 Dec 2000 | | Journal: | JHEP 0102 (2001) 024 | | Subject: | hep-th | | Affiliation: | Osaka Univ.), J. X. Lu (Univ. of Michigan), N. Ohta (Osaka Univ.), S. Roy (Saha Institute) and Y.-S. Wu (Univ. of Utah | | Abstract: | We show that the (M5, M2, M2$’$, MW) bound state solution of eleven dimensional supergravity recently constructed in hep-th/0009147 is related to the (M5, M2) bound state one by a finite Lorentz boost along a M5-brane direction perpendicular to the M2-brane. Given the (M5, M2) bound state as a defining system for OM theory and the above relation between this system and the (M5, M2, M2’, MW) bound state, we test the recently proposed V-duality conjecture in OM theory. Insisting to have a decoupled OM theory, we find that the allowed Lorentz boost has to be infinitesimally small, therefore resulting in a family of OM theories related by Galilean boosts. We argue that such related OM theories are equivalent to each other. In other words, V-duality holds for OM theory as well. Upon compactification on either an electric or a `magnetic’ circle (plus T-dualities as well), the V-duality for OM theory gives the known one for either noncommutative open string theories or noncommutative Yang-Mills theories. This further implies that V-duality holds in general for the little m-theory without gravity. | | Source: | arXiv, hep-th/0101069 | | Services: | Forum | Review | PDF | Favorites | |
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