“…We find that the model contains solitons which become massless at the singular point of the theory where a gauge symmetry remains unbroken.…”
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“…In the third part, the theory is applied to several examples (D-branes, quantum solitons, anomalies, noncommutativity). More than hundred exercises together with their solutions are included. …”
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“…The bullets are true solitons that preserve spatially confined shapes and survive collisions. …”
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“…The problem is considered in the framework of integrable turbulence in which solitons play a key role. By using a limited number of wave gauges, we accurately measure the NDR of the slowly varying envelope of the deep-water waves. …”
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“…We consider the low-energy effective field theory of heterotic string theory compactified on a seven-torus, and we construct electrically charged as well as more general solitonic solutions. These solutions preserve 1/2, 1/4, 1/8 and 1/16 of N=8, D=3 supersymmetry and have Killing spinors which exist due to cancellation of holonomies. …”
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“…The Korteweg–de Vries equation for solitons is presented because it reflects the necessary complexity while being suitably familiar and succinct for pedagogical purposes. …”
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“…Topological solitons, a class of stable nonlinear excitations, appear in diverse domains as in the Skyrme model of nuclear forces. …”
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“…The exact solutions are presented by rational, trigonometric, hyperbolic and exponential functions. On the basis of solitons, we need to show that which one is more integrated and robust scheme. …”
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“…Theories with low-energy supersymmetry predict the existence of stable non-topological solitons, Q-balls, that can contribute to dark matter. …”
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“…Recently, we have predicted that the modulation instability of optical vortex solitons propagating in nonlinear colloidal suspensions with exponential saturable nonlinearity leads to formation of necklace beams (NBs). …”
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“…Solitons are a challenging topic in condensed matter physics and materials science because of the interplay between their topological and physical properties and for the crucial role they play in topological phase transitions. …”
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“…Increasing the pump power generates more solitons at the red edge, which accelerates solitons trapping and improves the spectral flatness of the blue edge. …”
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“…Magnetic skyrmions are stable topological solitons with complex non-coplanar spin structures. …”
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“…While topological antiferromagnetic (AFM) solitons bear various advantages with respect to their ferromagnetic cousins, their observation is scarce. …”
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“…$P$-brane solutions of low-energy string actions have traditionally provided the first evidence for the existence of string dualities, in which fundamental and solitonic $p$-branes are identified with perturbative and non-perturbative BPS states. …”
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“…This talk reviews some of the hot topics in spin physics and related subjects, including perturbative QCD predictions for polarized parton distributions and their possible behaviours at small x, the Bjorken and singlet sum rules and the treatment of higher orders in perturbative QCD, different interpretations of the EMC spin effect including chiral solitons and the axial U(1) anomaly, other experimental indications for the presence of strange quarks in the nucleon wave function, implications for dark matter physics, and a few words about polarization as a tool in electroweak physics.…”
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“…The spectrum of anomalous dimensions of very large operators has been calculated solving the Bethe ansatz equations in the thermodynamic limit, and matched to energies of string solitons. We have considered finite size corrections to the Bethe equations, that should correspond to quantum effects on the string side.…”
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“…Supersymmetric extensions of the standard model generically contain stable non-topological solitons, Q-balls, which carry baryon or lepton number. …”
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“…These theories have (tensionless) BPS string solitons. We use a dual supergravity formulation to deduce some of their properties via the AdS/CFT correspondence.…”
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“…Under the six-dimensional heterotic/type IIA duality map, a solitonic membrane solution of heterotic string theory transforms into a singular solution of type IIA theory, and should therefore be interpreted as a fundamental membrane in the latter theory. …”
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