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Showing 1 to 20 of 22 for “"superconformal"”.
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Six Dimensional Supergravity, Spinorial Geometry and (1,0)-Superconformal Theories
… a more recent development, namely (1,0)<br/>superconformal theories in six dimensions. In particular we nd the BPS solutions<br/>of (1,0) superconformal theory in all cases. In addition, we analyse the halfsupersymmetric solutions to some specic models in detail and give examples of string …
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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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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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Much ado about nothing: The superconformal index and Hilbert series of three dimensional N =4 vacua
… 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 algebra. When the hyperKähler cone has a projective symplectic resolution, we define a …
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Indices for Supersymmetric Quantum Field Theories in Four Dimensions
… based on representation theory of free superconformal field theories. After listing all representations of the superconformal algebra based on shortening conditions, we compute the associated Verma module characters, from which we can extract the index in the appropriate limit. This …
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Geometric Aspects of Supersymmetric Partition Functions
… to other dimensions. We start by discussing the superconformal index of (4,4) superconformal quantum mechanics on hyperkahler cones. The index is computed by coupling the quantum mechanics to a killing vector field. The resulting object has a natural geometric interpretation in terms of the …
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Super-conformal coating and filling of high aspect ratio recessed structures by two-molecule CVD
… general approach is to develop a process for superconformal film growth, in which the growth rate increases with depth. Previously, only specialized processes, including iodine catalyzed Cu growth or high-density plasma CVD, have provided super-conformal coating and complete filling. In this …
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Nucleation inhibition and enhancement in chemical vapor deposition
… the surface kinetics that govern conformal and superconformal growth, as well as nucleation inhibition and enhancement. We show that use of a metal substrate used at high angle of incidence provides enough signal enhancement in p-polarization to observe sub-monolayer coverages. The intrinsic …
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Coating and filling of nanometer-scale structures using chemical vapor deposition
… this dissertation, I report a newly discovered superconformal CVD method that affords bottom-up filling of trenches with oxide: the film growth rate increases with depth such that the profile of material develops a “V” shape that fills in along the centerline without a seam of low density …
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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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Duality and dynamics of supersymmetric field theories from D-branes on singularities
… moduli space. We construct an infinite family of superconformal quiver gauge theories which are AdS/CFT dual to Sasaki-Einstein horizons with explicit metrics. The gauge theory and geometric computations of R-charges and central charges are shown to agree. We introduce new Type IIB brane …
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Topics in Gauge/Gravity Duality
… of Super–Yang- 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 …
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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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MPSA Effects on Copper Electrodeposition: Understanding Molecular Behavior at the Electrochemical Interface
… ion contact adsorption at the solid surface. In superconformal filling of copper chip interconnects, organic additives are used to bottom-up fill high-aspect ratio trenches or vias. I use molecular dynamics and rotating-disk-electrode experiments to provide insight into the function of MPSA, one …
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Boundaries, States and Cohomology in Three-Dimensional N = 4 Theories
… = 4 theories on closed 3-manifolds (such as the superconformal index, twisted index and S<sup>3</sup> partition function) in terms of S<sup>1</sup> x HS<sup>2</sup> partition functions. We demonstrate the latter, equipped with exceptional Dirichlet boundary conditions, realise this factorisation …
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Enhanced gauge symmetry in 6D F-theory
… of mathematical precision to the study of 6D superconformal field theories (SCFTs) begun in [4, 3], which is a conjecturally complete classification of all 6D SCFTs. Our analysis confirms many of their results, but also explicitly shows that some of their proposed models cannot in fact be …
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Lessons on interacting quantum field theories from string theory
… order effects. In Chapter 4, we discuss 4d N = 2 superconformal field theories (SCFT) of the Argyres-Douglas (AD) type, which can be constructed in string/M theory by either wrapping M5 branes on punctured Riemann surface or probing 3-fold singularity by IIB string. We classify the punctures …
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Counting degrees of freedom in quantum field theory using entanglement entropy
… the degrees of freedom in three-dimensional superconformal field theories that are the infrared limit of supersymrnetric gauge theories with matter. Supersymmetric localization reduces the computation of entanglement entropy to a matrix integral. We solve this matrix model in the large N …
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MODERN TOPICS IN SUPERSYMMETRY
… as black holes (BH) by using QFT tools like the superconformal index. Here, the BH Hawking-Page (HP) phase transition could be exploited to probe the confinement/deconfinement transition in four-dimensional maximally supersymmetric YM and beyond. Motivated by this, in this thesis we will mainly …
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Gauge symmetries and charged matter in F-theory
… transitions" are realized by passing through superconformal theories at the transition point. We first discuss how such transitions can be motivated from supergravity considerations. We then illustrate how the transitions manifest themselves in dual F-theory and heterotic models. We also …
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