Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 20 for “"Target space"”.
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Geometric structures on the target space of Hamiltonian evolution equations
This thesis is concerned with the relationship between integrable Hamiltonian partial differential equations and geometric structures on the manifold in which the dependent variables take their values. Chapters 1 and 2 are introductory chapters, and as such contain no original material. Chapter 1 …
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A Study on Heterotic Target Space Duality – Bundle Stability/Holomorphy, F-theory and LG Spectra
… string compactifications. The notion of target space duality (TSD) originates in non-geometric phases and can be used to generate distinct GLSMs with shared geometric phases leading to apparently identical target space theories. To date, this duality has largely been studied at the level …
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Synthetic Aperture Radar Rapid Detection of Range and Azimuth Velocities Implemented in MATLAB
… processes multiple radar returns from the target space to generate a single high-resolution image. Targets moving through the target space during the capture sequence will appear distorted on the final image. In addition, there is no velocity information that is calculated as part of the …
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Extending the Geometric Tools of Heterotic String Compactification and Dualities
… duality. We consider heterotic target space dual (0,2) GLSMs on elliptically fibered Calabi-Yau manifolds. In this context, each half of the ``dual" heterotic theories must, in turn, have an F-theory dual. Moreover, the apparent relationship between two heterotic …
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Vignettes in string theory : using geometry to probe the worldsheet and strongly coupled physics
… to fibering the WZW model over the naive target space of the sigma model. When the gauge group is abelian, we recover known non-Kahler compactifications; non-abelian models describe novel quasi-geometric flux vacua of the heterotic string. Second, we also investigate sigma models that …
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Much ado about nothing: The superconformal index and Hilbert series of three dimensional N =4 vacua
… study a quantum mechanical $\sigma$-model whose target space is a hyperKähler cone. As shown by Singleton, [184], such a theory has superconformal invariance under the algebra $\mathfrak{osp}(4^*|4)$. One can formally define a superconformal index that counts the short representations of the …
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Conformally Invariant Operators in Higher Spin Spaces
… conformally invariant operators in higher spin spaces, where functions take values in irreducible representations of Spin groups. We provide explicit formulas for them.</p> <p>We first construct the Dirac operator and Rarita-Schwinger operator as Stein Weiss type operators. This motivates us to …
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Buckling and friction-based linear motion clutch with application to medical devices
… structures or infusions into inappropriate spaces. Existing catheter insertion methods do not uniformly provide needle tip location feedback, nor prevent the needle from going beyond the target space. This research achieved the development of design methods and analysis tools that can be …
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Expressions for the generating function of the Donaldson invariants for CP²
… at the boundary of the Coulomb branch with the target space CP1 x U(1). The semi-classical generating function is described in terms of determinant line bundles on the Coulomb branch. We show that in terms of the partition function on the elliptic curve, the blow-up function for the Donaldson …
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Operational Scheduling of Deep Space Radars for Resident Space Object Surveillance
As space becomes increasingly congested and contested, new capabilities of rivals to threaten vital assets and exploit the area for military advantages make it more important than ever for the United States to proficiently track and monitor space traffic and debris. However, currently the system of …
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Understanding and Improving Representational Robustness of Machine Learning Models
… trustworthy properties) in the induced hidden space of a given network. For a generic representation network, this corresponds to the representation space itself, while for a smoothed model, we will treat the logits of the network as the target space. Representational robustness is fundamental …
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RIDDS: Removal of Irregular Debris Using Double Nets
… a sustainable solution, this will detriment the space environment, impacting the future of space travel and space traffic management. While numerous debris removal concepts and designs have been proposed, very few have made it to actual flight tests, and none can remove debris at a fast enough …
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Two-dimensional twisted sigma models and chiral differential operators
… to a non-dynamical gauge field with Kahler target space X being a smooth G-manifold. In doing so, we arrive at a purely physical interpretation of the equivariant cohomology of the CDR, recently defined by mathematicians, called the a??chiral equivariant cohomologya??.Via the math-physics …
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Health Management and Adaptive Control of Distributed Spacecraft Systems
… and collaborative inspection that involve multi-spacecraft systems increases, the requirements needed to improve post-failure safety to maintain the mission performance also increases, especially when operating under uncertain conditions. In particular, space missions that involve Distributed …
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The geometry and representation theory of superconformal quantum mechanics
… between the differential geometry of the target manifold and symmetries of the quantum mechanics is explored, resulting in a classification of spaces admitting $\mathcal{N}=(n,n)$ superconformal invariance with $n=1,2,4$. We construct the corresponding superalgberas …
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On representations of quantum groups and Cherednik algebras
… generalization of [36] to the case when the target space C of the polynomial maps is replaced by a finite-dimensional representation V of g shows that the restriction map Res: (C[g] 0 V)9 -+ C[] 0 V is injective, and that the image can be described by three simple conditions. We further …
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Études in Ambitwistor Strings - Exploring new models, higher loops and curved backgrounds
… that occur upon restricting to four spacetime dimensions, namely that the scattering equations with $n$ particles decompose into sectors, graded by an integer $1 \leq d \leq n-3$. It is a non-trivial fact that the dimension agnostic CHY formulae reduce to twistor formulae once the …
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Macroscopic behaviour of Lipschitz random surfaces
… square lattice ℤᵈ to some fixed standard Borel space (E, ℰ). A random surface is a random field with the extra condition that E ∈ {ℤ, ℝ} where ℰ is the standard σ-algebra. For random surfaces, one often studies the gradient ∇φ of the random function of interest. Random fields and random surfaces …
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Solitons and dualities in 2+1 dimensions
… as a topological quantum mechanics on the moduli space of these vortices. Using localisation techniques, we compute the 'expected' dimension of the Hilbert space of this quantum mechanics (that is, the Euler characteristic of the relevant quantum line bundle on the moduli space) in the case of …