2011/03/07 by Yoshinori Honma, Morirou Ogawa, Shotaro Shiba · 3 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Brane cosmology #Compactification (mathematics) #Cosmology and Gravitation Theories #Lie algebra #Mathematical physics #Mathematics #Moduli #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #String theory #T-duality #hep-th
paper · pdf · doi:10.1007/jhep04(2011)117
1+26 pages
arxiv created 2011/03/07 · openalex publication_date 2011/04/01 · arxiv updated 2015/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We derive the super Yang-Mills action of Dp-branes on a torus Tp-4 from the nonabelian (2,0) theory with Lie 3-algebra. Our realization is based on Lie 3-algebra with pairs of Lorentzian metric generators. The resultant theory then has negative norm modes, but it results in a unitary theory by setting VEV's of these modes. This procedure corresponds to the torus compactification, therefore by taking a transformation which is equivalent to T-duality, the Dp-brane action is obtained. We also study type IIA/IIB NS5-brane and Kaluza-Klein monopole systems by taking other VEV assignments. Such various compactifications can be realized in the nonabelian (2,0) theory, since both longitudinal and transverse directions can be compactified, which is different from the BLG theory. We finally discuss U-duality among these branes, and show that most of the moduli parameters in U-duality group are recovered. Especially in D5-brane case, the whole U-duality relation is properly reproduced.