Outputs (119)

Multiple logarithms, trees and algebraic cycles (2007)
Book Chapter
Gangl, H., Goncharov, A., & Levin, A. (2007). Multiple logarithms, trees and algebraic cycles. In P. Cartier, B. Julia, P. Moussa, & P. Vanhove (Eds.), Frontiers in Number Theory, Physics and Geometry II (759-774). (New ed.). Springer Verlag

The differential properties of multiple logarithms and those of corresponding algebraic cycles are related to the combinatorics of certain trees.

Generalized Itǒ Formulae and Space-Time Lebesgue–Stieltjes Integrals of Local Times (2007)
Book Chapter
Elworthy, D., Truman, A., & Zhao, H. (2007). Generalized Itǒ Formulae and Space-Time Lebesgue–Stieltjes Integrals of Local Times. In C. Donati-Martin, M. Émery, A. Rouault, & C. Stricker (Eds.), Séminaire de Probabilités XL. Springer Verlag

Boundary Conditions and New Dualities: Vector Fields in AdS/CFT. (2007)
Journal Article
Marolf, D., & Ross, S. F. (2007). Boundary Conditions and New Dualities: Vector Fields in AdS/CFT. Journal of High Energy Physics, 11(2006),

In AdS, scalar fields with masses slightly above the Breitenlohner-Freedman bound admit a variety of possible boundary conditions which are reflected in the Lagrangian of the dual field theory. Generic small changes in the AdS boundary conditions cor... Read More about Boundary Conditions and New Dualities: Vector Fields in AdS/CFT..

Moving homology classes to infinity. (2007)
Journal Article
Farber, M., & Schuetz, D. (2007). Moving homology classes to infinity. Forum Mathematicum, 19, 281-296. https://doi.org/10.1515/forum.2007.010

Jorgensen's inequality for metric spaces with applications to the octonions. (2007)
Journal Article
Markham, S., & Parker, J. R. (2007). Jorgensen's inequality for metric spaces with applications to the octonions. Advances in Geometry, 7, 19-38. https://doi.org/10.1515/advgeom.2007.002

Homology of planar polygon spaces. (2007)
Journal Article
Farber, M., & Schuetz, D. (2007). Homology of planar polygon spaces. Geometriae Dedicata, 25, 75-92. https://doi.org/10.1007/s10711-007-9139-7

S-matrix equivalence theorem evasion and dimensional regularisation with the canonical MHV lagrangian (2007)
Journal Article
Ettle, J. H., Fu, C., Fudger, J. P., Mansfield, P. R., & Morris, T. R. (2007). S-matrix equivalence theorem evasion and dimensional regularisation with the canonical MHV lagrangian. Journal of High Energy Physics, 2007(05),

We demonstrate that the canonical change of variables that yields the MHV lagrangian, also provides contributions to scattering amplitudes that evade the equivalence theorem. This `ET evasion' in particular provides the tree-level (−++) amplitude, wh... Read More about S-matrix equivalence theorem evasion and dimensional regularisation with the canonical MHV lagrangian.

Non-supersymmetric asymptotically AdS_5 x S^5 smooth geometries. (2007)
Journal Article
Ross, S. F. (2007). Non-supersymmetric asymptotically AdS_5 x S^5 smooth geometries. Journal of High Energy Physics, 01(2006),

We find soliton solutions in five-dimensional gauged supergravity, where a circle degenerates smoothly in the core of the geometry. In the family of solutions we consider, we find no completely smooth supersymmetric solutions, but we find discrete fa... Read More about Non-supersymmetric asymptotically AdS_5 x S^5 smooth geometries..

Surfaces in ${\mathbb R}^{N^2-1}$ based on harmonic maps $S^2\rightarrow CP^{N-1}$ (2007)
Journal Article
Zakrzewski, W. (2007). Surfaces in ${\mathbb R}^{N^2-1}$ based on harmonic
maps $S^2\rightarrow CP^{N-1}$. Journal of Mathematical Physics, 48,

Vortex rings in ferromagnets (2007)
Journal Article
Sutcliffe, P. (2007). Vortex rings in ferromagnets. Physical Review B, 76,