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Order 1/N3 corrections to the conformal anomaly of the (2,0) theory in six dimensions (2003)
Journal Article
Mansfield, P., Nolland, D., & Ueno, T. (2003). Order 1/N3 corrections to the conformal anomaly of the (2,0) theory in six dimensions. Physics Letters B, 566(1-2), 157-163. https://doi.org/10.1016/s0370-2693%2803%2900777-9

Using Supergravity on AdS7×S4 we calculate the bulk one-loop contribution to the conformal anomaly of the (2,0) theory describing N coincident M5 branes. When this is added to the tree-level result, and an additional subleading order contribution cal... Read More about Order 1/N3 corrections to the conformal anomaly of the (2,0) theory in six dimensions.

Order 1/N2 test of the Maldacena conjecture II: the full bulk one-loop contribution to the boundary Weyl anomaly (2003)
Journal Article
Mansfield, P., Nolland, D., & Ueno, T. (2003). Order 1/N2 test of the Maldacena conjecture II: the full bulk one-loop contribution to the boundary Weyl anomaly. Physics Letters B, 565, 207-210. https://doi.org/10.1016/s0370-2693%2803%2900750-0

We compute the complete bulk one-loop contribution to the Weyl anomaly of the boundary theory for IIB supergravity compactified on AdS5×S5. The result, that , reproduces the subleading term in the exact expression for the Weyl anomaly of super-Yang–M... Read More about Order 1/N2 test of the Maldacena conjecture II: the full bulk one-loop contribution to the boundary Weyl anomaly.

A regulator formula for Milnor K-groups (2003)
Journal Article
Kerr, M. (2003). A regulator formula for Milnor K-groups. K-Theory, 29(3), 175-210. https://doi.org/10.1023/b%3Akthe.0000006920.60109.e8

The classical Abel–Jacobi map is used to geometrically motivate the construction of regulator maps from Milnor K-groups K n M (C(X)) to Deligne cohomology. These maps are given in terms of some new, explicit (n – 1)-currents, higher residues of which... Read More about A regulator formula for Milnor K-groups.

Uncertainties of predictions from parton distributions I: experimental errors (2003)
Journal Article
Martin, A., Roberts, R., Stirling, W., & Thorne, R. (2003). Uncertainties of predictions from parton distributions I: experimental errors. The European Physical Journal C, 28(4), 455-473. https://doi.org/10.1140/epjc/s2003-01196-2

We determine the uncertainties on observables arising from the errors on the experimental data that are fitted in the global MRST2001 parton analysis. By diagonalizing the error matrix we produce sets of partons suitable for use within the framework... Read More about Uncertainties of predictions from parton distributions I: experimental errors.

Fermionic subspaces of the bosonic string. (2003)
Journal Article
Chattaraputi, A., Englert, F., Houart, L., & Taormina, A. (2003). Fermionic subspaces of the bosonic string. Classical and Quantum Gravity, 20(12), S449-S456

Extra dimensions and nonlinear equations (2003)
Journal Article
Curtright, T., & Fairlie, D. (2003). Extra dimensions and nonlinear equations. Journal of Mathematical Physics, 44(6), 2692-2703. https://doi.org/10.1063/1.1543227

Solutions of nonlinear multi-component Euler–Monge partial differential equations are constructed in n spatial dimensions by dimension-doubling, a method that completely linearizes the problem. Nonlocal structures are an essential feature of the meth... Read More about Extra dimensions and nonlinear equations.

Interactions in intersecting brane models (2003)
Journal Article
Abel, S., & Owen, A. (2003). Interactions in intersecting brane models. Nuclear Physics B, 663(1-2), 197-214. https://doi.org/10.1016/s0550-3213%2803%2900370-5

We discuss tree level three and four point scattering amplitudes in type II string models with matter fields localized at the intersections of D-brane wrapping cycles. Using conformal field theory techniques we calculate the four fermion amplitudes.... Read More about Interactions in intersecting brane models.

Knot modules and the Nakanishi index (2003)
Journal Article
Kearton, C., & Wilson, S. (2003). Knot modules and the Nakanishi index. Proceedings of the American Mathematical Society, 131(2), 655-663

We examine the structure of the knot module of $9_{38}$ and show that the Nakanishi index of this knot is 2. The Nakanishi indices of $10_{69}$ and $10_{101}$ are also determined, by means of the Fox-Smythe row class. Finally, we point out that the N... Read More about Knot modules and the Nakanishi index.