Browsing Pure & Applied Mathematics by Title
Now showing items 379-390 of 390
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Uniform light-cone gauge for strings in AdS(5) x s**5: Solving SU(1|1) sector.
(2006)We introduce a uniform light-cone gauge for strings propagating in AdS5 ?S5 space-time. We use the gauge to analyze strings from the su(1|1) sector, and show that the reduced model is described by a quadratic action for ... -
Universally reversible JC*-triples and operator spaces
(2013)We prove that the vast majority of JC*-triples satisfy the condition of universal reversibility. Our characterisation is that a JC*-triple is universally reversible if and only if it has no triple homomorphisms onto Hilbert ... -
Virasoro amplitude from the S(N) R**24 orbifold sigma model
(Springer, 1998)Four tachyon scattering amplitude is derived from the SNR24 orbifold sigma model in the large N limit. The closed string interaction is described by a vertex which is a bosonic analog of the supersymmetric one, recently ... -
Water waves and Integrability
(Royal Society, 2007)The Euler?s equations describe the motion of inviscid fluid. In the case of shallow water, when a perturbative asymtotic expansion of the Euler?s equations is taken (to a certain order of smallness of the scale parameters), ... -
Weak*-continuity of Jordan triple products and its applications
(Institut for Matematiske Fag, Aarhus Universitet, 1986) -
Weyl's theorem and tensor products: a counterexample.
(Elsevier, 2011)Approximately fifty percent of Weyl's theorem fails to transfer from Hilbert space operators to their tensor product. As a biproduct we find that the product of circles in the complex plane is a limacon. -
The worldsheet low-energy limit of the AdS_4 x CP^3 superstring
(Elsevier, 2010)We consider the AdS_4 x CP^3 superstring sigma-model in the background of the ?spinning string? classical solution, which possesses two Noether spins. In the limit when one of the spins is infinite there are massless ... -
Yang-Baxter integrable open quantum systems
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2023)The main result of this thesis is the use of the boost operator to develop a systematic method to construct new integrable spin chains with nearest-neighbour interaction and characterized by an R-matrix of non-difference ... -
Yang-Mills instantons on the taub-NUT space and supersymmetric N=2 gauge theories with impurities
(Trinity College (Dublin, Ireland). School of Mathematics, 2010)We write a formula for arbitrary charge calorons, instantons on R3 x S1, in terms of the Green's function of the Laplacian defined for the Nahm Transform, thus generalising the formula for the charge one caloron derived ... -
The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
(2007)We discuss the Zamolodchikov-Faddeev algebra for the superstring sigmamodel on AdS5 ? S5. We find the canonical su(2|2)2 invariant S-matrix satisfying the standard Yang-Baxter and crossing symmetry equations. Its ... -
A zero-mode quantization of the Skyrmion
(Elsevier, 2006)In the semi-classical approach to the Skyrme model, nuclei are approximated by quantum mechanical states on a finite-dimensional space of field configurations; in zero-mode quantization this space is generated by rotations ...
