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Showing 1 to 8 of 8 for “"superconformal field theories"”.
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Studies of superconformal field theories using GLSM and conformal bootstrap
In this thesis, we study strongly interacting superconformal field theories in two and three dimensions. In two dimensions, we investigate N = (0, 2) gauge theories using the gauged linear sigma models (GLSM). In those theories, we identify simple mechanism by which worldsheet description of H-flux …
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Twisted and exceptional Tinkertoys for Gaiotto duality
A large class of 4d N = 2 superconformal field theories arise as compactifications of a 6d (2, 0) theory of type j = A, D, E on a punctured Riemann surface, C. These theories can be classified by listing the allowed fixtures and cylinders which can occur in a pants decomposition of C, and giving …
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Moduli Space of (0,2) Conformal Field Theories
<p>In this thesis we study aspects of (0,2) superconformal field theories (SCFTs), which are suitable for compactification of the heterotic string. In the first part, we study a class of (2,2) SCFTs obtained by fibering a Landau-Ginzburg (LG) orbifold CFT over a compact K\"ahler base manifold. …
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Indices for Supersymmetric Quantum Field Theories in Four Dimensions
… electric-magnetic duality in supersymmetric field theories. In the first chapter, we first define the index and underline its cohomological nature, before giving a first computation based on representation theory of free superconformal field theories. After listing all representations of the …
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The geometry and representation theory of superconformal quantum mechanics
… mechanics of nonlinear $\sigma$-models with superconformal invariance. The connection 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 …
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Enhanced gauge symmetry in 6D F-theory
… that can be obtained from F-theory and field theories that satisfy known low-energy consistency conditions, e.g. anomaly cancellation. However, we will also isolate several cases that we prove can never arise in F-theory yet have no visible lowenergy inconsistencies. The results are …
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Lessons on interacting quantum field theories from string theory
… explore various features of interacting quantum field theories. We begin with an overview in Chapter 1, of past and recent developments in quantum field theories, explaining the advantages of string theoretic techniques over traditional approaches in answering a range of questions about …
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Counting degrees of freedom in quantum field theory using entanglement entropy
… the number of degrees of freedom in quantum field theory. Intuitively, the number of degrees of freedom should decrease along the renormalization group (RG) flow, and should be independent of the RG scale at a conformal fixed point. We argue that a refinement of entanglement entropy is a …