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Showing 1 to 9 of 9 for “"spectral curve"”.
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Moduli Questions for Augmented Bundles
… etale. Also, we study the relation between the spectral curve associated to a Higgs bundle and the spectral curve associated to the direct image of it.
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Spiky strings and the AdS/CFT correspondence
… of a hyperelliptic Riemann surface, the spectral curve, which encodes, albeit in a rather implicit fashion, the semiclassical spectrum of a very large family of string solutions. Then, we show that, in the large angular momentum limit, the spectral curve separates into two distinct …
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Mathematical Aspects of Field Theory: Nahm's Equations and Jacobi Forms
… via a linear flow in the Jacobian of the spectral curve associated to the Lax pair. We construct a frame of sections of this linear flow, which allows us to obtain exact solutions to Nahm's equations for arbitrary rank n. Nahm's equations with our boundary conditions correspond to the …
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Analysis of supersymmetric field theories via AdS/CFT, brane setups and matrix models
N = 1 theories whose matrix model spectral curve develops Argyres-Douglas singularities are constructed. The large N expansion breaks down at the critical points with domain wall tensions scaling as a fractional power of N. However, there exist double scaling limits that are conjectured to define a …
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The measurement of the output spectrum of a cobalt 60 teletherapy unit
… of this spectrum was not practicable. The spectral distribution of single scattered radiation from this beam, at each of a number of scattering angles, was therefore measured. This scattered spectrum was then converted to the output spectrum by the application of the appropriate scattering …
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Floer theory and spectral networks
… of the poles of $\phi$. In the case where the spectral curve $\Sigma_{\phi}$ is exact with respect to the canonical Liouville form on $T^{\ast}\tilde{C}$, we show that an ``almost flat" $GL(1;\mathbb{C})$-local system $\mathcal{L}$ on $\Sigma_{\phi}$ defines a Floer cohomology local system …
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Confocal Laser Scanning Microscopy As A Tool For The Investigation Of Tetracycline Fluorescence In Archaeologicalhuman Bone
… confocal techniques for imaging and analysis. Spectral analysis via CLSM shows that both modern and ancient fluorescent labels in bone share the exact same fluorescence emission peak at 525 nm. Differences in the shape of the spectral curve and photobleaching characteristics are discussed. In …
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Langlands Duality in the Generic Fibres of Classical Hitchin Fibrations
… such as Bertini's theorem, to ensure the generic spectral curves are either smooth or have mild singularities. Moreover, we compute the generic bres for each classical simple Lie group and GLn. Akin to Hitchin's result, the bres are torsors of abelian varieties, and we demonstrate Langlands …
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Geometry of the Hitchin Morphism and Spectral Correspondences
… sheaves of arbitrary rank on a given algebraic curve and twisted pairs on another algebraic curve, mostly from a linear-algebraic standpoint. We aim to generalize the language of classical spectral correspondence by the annihilating polynomials of pairs. In a particular application, we realize a …