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Abstract: String theory has transformed our understanding of geometry, topology and spacetime. Thus, for this special issue of Foundations of Physics commemorating "Forty Years of String Theory", it s...
Abstract: We determine the dimensions of irreducible representations of the three-dimensional Sklyanin algebras. This contributes to the study of marginal deformations of the N=4 super Yang-Mills theo...
Abstract: We study the (analytic) finite-size corrections in the dense polymer model on the strip by perturbing the critical Hamiltonian by irrelevant operators belonging to the tower of the identity....
Abstract: The paper describes the transport of the elastically and diffractively scattered protons in the proton-proton interactions at the LHC for the high beta* runs. A parametrisation of the attere...
Abstract: It was shown, in our previous works, that periodic points of $d$ dimensional rational integrable maps form varieties if the number of invariants $p$ is greater than $d/2$. In the case of 3 d...
Abstract: Using the Pais-Uhlenbeck Oscillator as a toy model, we outline a consistent alternative to the indefinite-metric quantization scheme that does not violate unitarity. We describe the basic ma...
Abstract: We define a relativistic version of the two-level atom, in which an extended atom is replaced by a point particle carrying suitable Grassmann variables for the description of the two-level s...
Abstract: We define a relativistic version of the two-level atom, in which an extended atom is replaced by a point particle carrying suitable Grassmann variables for the description of the two-level s...
Abstract: Recent insights into the conceptual structure of localization in QFT ("modular localization") led to clarifications of old unsolved problems. One is the Einstein-Jordan conundrum which led J...
Abstract: We construct the manifestly N=4 supersymmetric off-shell superfield "master" action for any number n of the N=4 supermultiplets (4, 4, 0) described by harmonic analytic superfields q^{+a}(\z...
Abstract: We define a discrete gauge-invariant Yang-Mills-Higgs action on spacetime simplicial meshes. The formulation is a generalization of classical lattice gauge theory, and we prove consistency o...
Abstract: We analyze general structure of N-fold supersymmetry which provides a systematic framework to construct weakly quasi-solvable quantum mechanical systems. Main ingredients of our analysis are...
Abstract: We explore various aspects of the correspondence between dimer models and integrable systems recently introduced by Goncharov and Kenyon. Dimer models give rise to relativistic integrable sy...
Abstract: We have proceeded the analogy of Einstein tensor and alternative form of Einstein field equations for generic coefficients of eight terms in third order of Lovelock Lagrangian. We have found...
Abstract: In order to estimate in absolute terms the luminosity of LHC certain beam parameters have to be measured very accurately. In particular the total beam current and the relative distribution o...

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