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 15 of 15 for “"spacetime dimensions"”.
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Superstrings in Four Dimensions
… they are to make sense, ought to exist in four spacetime dimensions. At the time that it was formulated, back in mid-1985, such an idea was thought to be impossible. There were only five string theories that were known to be fully consistent, and each of these had a critical dimension of 10. The …
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Numerical relativity in higher-dimensional space-times
The study of general relativity in higher dimensions has proven to be a fruitful avenue of research, revealing new applications of the theory, for instance in understanding strongly coupled quantum field theories through the holographic principle, and proposing an explanation of the hierarchy …
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Recent Progress in Quantum Gravity: Karch-Randall Braneworld, Entanglement Islands and Graviton Mass
… models of entanglement island in higher spacetime dimensions ($D \geq 2 + 1$). Then we point out that the physics of the Karch-Randall braneworld motivates us to formulate a conjecture that, at the fine grained level, a large class of entanglement islands can exist only in massive gravity …
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Geometric and electromagnetic response and anomalies in topological phases of matter
… phases were originally defined in three and four spacetime dimensions, respectively, we generalize them to all higher spacetime dimensions (odd dimensions for BIQH and even for BTI). We then study the bulk electromagnetic response of these theories as well as the anomalies in quantum field …
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Counting degrees of freedom in quantum field theory using entanglement entropy
… for such measure. Indeed, in two and three spacetime dimensions the number of degrees of freedom defined this way can be proven to monotonically decrease under RG flows. Firstly, we define renormalized entanglement entropy (REE) and show that it is finite in the continuum limit in a …
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Solving the Dirac equation in a two-dimensional spacetime background with a kink
… paper, I study the Dirac equation in curved spacetime and solve this equation in two-dimensional spacetime backgrounds discovered by Jackiw et al[4], [5]. I will first discuss flat spacetime and introduce the Dirac equation, which describes the relativistic wavefunctions of spin-1/2 …
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Classification of base geometries in F-theory
… fibered Calabi-Yau manifolds of various dimensions, we produce a large number of minimal supergravity models in six or four spacetime dimensions. In this thesis, I will describe a current classification program of these elliptic Calabi-Yau manifolds. Specifically, I will be focusing on …
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Aspects of symplectic dynamics and topology: gauge anomalies, chiral kinetic theory and transfer matrices
… describe the dynamics of Weyl fermions in even spacetime dimensions, the only quantum input to the symplectic form being the Berry curvature that encodes the spin-momentum locking. The (semi-)classical equations of motion are used in a kinetic theory setup to compute the gauge and singlet …
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DUALITIES AND EXACT RESULTS IN SUPERSYMMETRIC QFTS
… we analyze supersymmetric QFTs in three and four spacetime dimensions, with the goal of studying the infrared behavior of these theories. In Part I we analyze various dualities involving 3d N=2 theories with two tensor or adjoint fields and D-type superpotential. New dualities are discovered and …
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Symmetry-protected topological phases and quantum anomalies
… boundary states, based on examples in various spacetime dimensions. Through the study of the effect of interactions on these SPT phases, we discovered a new formalism of quantum anomalies, associated with discrete spacetime (such as time-reversal and spatial reflection) symmetries in …
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Aspects of fluid dynamics and the fluid/gravity correspondence
… map for forced fluid dynamics in arbitrary spacetime dimensions. Forced fluid flows are of particular interest as they are known to demonstrate turbulent behaviour. For the case of a fluid with a dilaton-dependent forcing term, we present explicit expressions for the dual bulk metric, the …
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A classical view of the quantum vacuum
… is then assessed,and it is found that in (3 + 1) spacetime dimensions, the only physically meaningful conformally invariant theory of electrodynamics is Maxwell's theory.A charged particle moving through a medium emits Cherenkov radiation when its velocity exceeds the phase velocity of light in …
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New approaches to higher-dimensional general relativity
… aspects of general relativity in more than four spacetime dimensions. Firstly, I review the generalization to higher dimensions of the algebraic classification of the Weyl tensor and the Newman-Penrose formalism. In four dimensions, these techniques have proved useful for studying many aspects of …
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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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Beyond Color: Lattice Gauge Theory for Strongly-Coupled Physics
… formalism computes observables by discretizing spacetime to render the path integral tractable. The primary focus of LGT in the 40 years since its inception has been the study of QCD, as the theory has direct physical relevance to so much of our universe, and the desire to understand QCD has …