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 38 for “"Chern-Simons"”.
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Integrability from Chern-Simons theories
… connections between integrable systems and Chern-Simons theories. It is divided into two parts. The first concerns the application of 4d Chern-Simons theory to describe integrable models with boundary, while the second concerns relations between holomorphic Chern-Simons theory on twistor …
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Aspects of nonabelian Chern-Simons theories
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 1995.
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Well-posedness and scattering of the Chern-Simons-Schrödinger system
The subject of the present thesis is the Chern-Simons-Schrödinger system, which is a gauge-covariant Schrödinger system in two spatial dimensions with a long-range electromagnetic field. The present thesis studies two aspects of the system: that of well-posedness and that of the long-time …
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Chern-Simons theory of magnetization plateaus on the kagome lattice
… bosons) onto a problem of fermions coupled to a Chern-Simons gauge field. This mapping relies on being able to define a consistent Chern-Simons term on the lattice. Using this newly developed mapping we analyse the phases/magnetization plateaus that arise at the mean-field level and also consider …
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2-loop perturbative invariants of lens spaces and a test of Chern-Simons quantum field theory
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1996.
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Topological field theories and fractional statistics
… by the wave function of a quantized Abelian Chern-Simons theory interacting with non-dynamical matter. We generalize the quantization of Chern-Simons theory to the case where the coefficient of the Chern-Simons term, k, is rational, the Riemann surface has arbitrary genus and the total matter …
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Low Dimensional Supersymmetric Gauge Theories and Mathematical Applications
… sigma models (GLSMs) and three-dimensional N=2 Chern-Simons-matter theories and their mathematical applications. After a brief review of GLSMs, we systematically study nonabelian GLSMs for symplectic and orthogonal Grassmannians, following up a proposal in the math community. As consistency …
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Studies on two topics in theoretical physics: Entanglement entropy and holographic superconductors
… the topological entanglement entropy of Chern-Simons theories in 2+1 dimensions. We employ a procedure of surgery to do the calculation, and _nd the general formula for the entanglement entropy for any state on any smooth surface. The key component of the result is the so-called S …
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Topics in Gauge/Gravity Duality
… Mills/type IIB string theory and superconformal Chern-Simons-matter/type IIA string theory dualities. We carry out a rather extensive study of the type IIA AdS3_S3_S3_S1 Green- Schwarz superstring, up to quadratic order in fermions. We discuss issues related to fixing its _-symmetry and show the …
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Spectral and Superpotential Effects in Heterotic Compactifications
… final part of this dissertation, we study the Chern-Simons contribution to the superpotential of heterotic theories. This quantity is very important in determining the vacuum stability of these models. By explicitly building real bundle morphisms between vec- tor bundles over Calabi-Yau …
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New perspectives on fractional quantum Hall physics
… we examine phases of matter known as fractional Chern insulators (FCIs), lattice analogues of FQH states. We begin in Chapter 2 by formulating a composite fermion theory for FCI states in a kagome lattice model, making use of a recently developed lattice Chern-Simons theory to effect the flux …
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Analysis of supersymmetric field theories via AdS/CFT, brane setups and matrix models
… phase transition in 3d = 1 U(N) Super Yang-Mills Chern-Simons theory is studied via its supergravity dual description. The would-be deconfined higher temperature phase is actually unstable. Therefore, it is not possible to conclude whether the transition takes place or not. The splitting of …
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Operads and moduli spaces
… of manifolds arising in the quantisation of Chern-Simons field theory.
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Aspects of quantum entanglement in critical and topologically ordered systems
… information and entnanglement negativity of Chern-Simons theories, which are further confirmed based on the surgey approach. In addition, we study the entanglement renormalization of topological insulators, and investigate the geometric and topological properties in the bulk of entanglement …
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Geometric and electromagnetic response and anomalies in topological phases of matter
… There we compute the Hall viscosity in the Chern-Simons matrix model of the Laughlin states, which is a certain regularization of the noncommutative Chern-Simons theory of these states proposed by Susskind. Our calculations show that these noncommutative theories are able to describe the …
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Some aspects of the mass deformed ABJM theory
… matter systems in an N = 6, U(N) × U(N) Chern-Simons-matter theory (the ABJM model) by consistently truncating the latter to an abelian effective field theory encoding the collective dynamics of O(N) of the O(N²) modes. In fact, depending on the VEV on one of the ABJM scalars, a mass …
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External Fields in Holography Near and Far from Equilibrium
… solutions to the non-linear Einstein-Maxwell-Chern-Simons equations of motion of increasing complexity and phenomenological relevance. The results of these analyses display universal thermalization times for thermalizing matter in strong magnetic fields, linear growth of entropy and …
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Entanglement, topology, & renormalization
… field theory, which in this case is an Abelian Chern-Simons theory. Using these boundary conditions, we perform path-integral calculations of the entanglement entropy using the replica trick and show that the universal contribution does indeed depend on the class of boundary conditions, and the …
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(2+1)-dimensional gravity over a two-holed torus, T²#T²
… Much progress has recently been made in relating Chern-Simons gauge field theory to (2+1)-dimensional gravity over topologically non-trivial surfaces. Starting from the dreibe informalism, we reduce the Einstein action, a functional of geometric quantities, down to a functional only of the …
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Complexity And Entanglement In Quantum Gravity
… of Euclidean path integral states in SU(2) Chern-Simons theory, where we elucidate a connection between topological entanglement and quantum mechanical entanglement. We prove that the topology of certain three-manifolds controls the entanglement structure of the resulting quantum state, and …
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