ar X iv : 0 70 6 . 41 37 v 1 [ he p - th ] 2 8 Ju n 20 07 Propagation Constraints and Classical Solutions in K - essence Like Theories

ar X iv : 0 80 6 . 22 70 v 2 [ he p - th ] 2 0 Ju n 20 08 An N = 1 Superfield Action for M 2 branes

We present an octonionic N = 1 superfield action that reproduces in components the action of Bagger and Lambert for M2 branes. By giving an expectation value to one of the scalars we obtain the maximally supersymmetric superfield action for D2 branes.

ar X iv : a st ro - p h / 02 06 29 8 v 1 1 8 Ju n 20 02 KUNS - 1791 astro - ph / 0206298 Tracking K - essence

We derive a condition for converging a common evolutionary track (“tracking condition”) for k-essence (a scalar field dark energy with non-canonical kinetic terms). For the Lagrangian density V (φ)W (X) with X = φ̇/2, we find tracker solutions with wφ < wB exist if Γ ≡ V V/(V ) > 3/2. Here wφ(wB) is the equation-of-state of the scalar field (background radiation/matter). Our condition may be use...

ar X iv : n uc l - th / 0 20 70 77 v 1 2 6 Ju l 2 00 2 Λ + c - and Λ b - hypernuclei

ar X iv : 0 70 7 . 40 06 v 1 [ he p - th ] 2 6 Ju l 2 00 7 Two - loop Gell - Mann – Low function of N = 1 supersymmetric

Two-loop Gell-Mann–Low function of N=1 supersymmetric Yang-Mills theory, regularized by higher covariant derivatives. Abstract Two-loop Gell-Mann–Low function is calculated for N=1 supersymmetric Yang– Mills theory, regularized by higher covariant derivatives. The integrals, which define it, are shown to be reduced to total derivatives and can be easily calculated analytically .

ar X iv : 0 80 6 . 42 65 v 1 [ he p - th ] 2 6 Ju n 20 08 Relation Between Holonomy Groups in Superstrings , M and F - theories

We consider manifolds with special holonomy groups SU(3), G2 and Spin(7) as suitable for compactification of superstrings, M-theory and F-theory (with only one time) respectively. The relations of these groups with the octonions are discussed, reinforcing their role in the physics of string theory and duality. We also exhibit three triple exact sequences explaining the connections between the m...