This thesis is devoted to a discussion of two-dimensional theories with (0,2) supersymmetry. Examples of two-dimensional (0,2) gauged linear sigma models (GLSMs) are constructed for various spaces including Grassmannians, complete intersections in Grassmannians, and non-complete intersections such as Pfaffians. Generalizations of (2,2) Toda dual theories to (0,2) Toda-like theories are also discussed and some examples are given, including products of projective spaces and del Pezzo surfaces. Correlation functions are computed to show the examples are the correct mirror models. / Ph. D. / This thesis is devoted to a discussion in a specific branch of string theory in particle physics. String theory is a model of elementary particles, which are currently described by a theory called the Standard Model. String theory is a more fundamental theory than the Standard Model in two ways: it incorporates general relativity, <i>i.e.</i>, the theory of gravity; and it is a ultraviolet theory of the Standard Model, or equivalently, the Standard model is seen as a low energy approximation of string theory. This thesis is concerned with the quantum mechanics of string theory, described by quantum field theory along a two-dimensional worldsheet swept out by a one-dimensional string as it propagates in time. Specifically, this thesis explores examples of two-dimensional worldsheet theories with a technical property known as (0,2) supersymmetry.

The concept of emergence stands in need of an update, and I propose that ontologically emergent phenomena are characterized by four necessary features: relationality, novelty, irreducibility and broken symmetry. ‘Emergence’ is a useful term to denote the varied qualitative changes that spontaneously arise as the scale and complexity of related phenomena increases. Moreover, emergent phenomena share a unique relationship with the phenomena from which they emerge, namely the emergent relation. This relation is distinct from other types of relations (i.e., identity, composition, supervenience, etc.) and moreover is not beset by the problems of causal exclusion or downward causation. Lastly, I advance this account of emergence partly as an empirical hypothesis. The epistemic resources in dynamical systems theory are uniquely suited to describe the evolution of systems that manifest emergent phenomena. This is primarily because features like novelty and broken symmetry can be given mathematically precise descriptions in dynamical systems terms. The advantage of this updated concept of emergence is its compatibility with ideas of explanation, prediction and reduction. / Thesis / Master of Philosophy (MA) / The concept of emergence is a useful one to succinctly describe the relatedness of a variety of complex phenomena in our universe. The concept of emergence however stands in need of an update. Emergent phenomena, as some would argue, are not unexplainable brute facts nor are they wholly unpredictable. I propose that ontologically emergent phenomena are characterized by four necessary features: relationality, novelty, irreducibility, and broken symmetry.

Every year, over 3.5 million women give birth in the United States, with about 67.9% delivering vaginally. Over 80% of postpartum (PP) women experience chronic pain in the pelvis, lower back, hip, and legs at 24 weeks after birth, and 20% continue to experience these issues 3 years later. PP women often face pelvic instability and weakness, which disturb balance and lead to asymmetric loading in the pelvis and legs. This imbalance makes daily tasks, such as lifting and carrying a car seat during childcare, more difficult, and increases the risk of chronic pain and injury. This study aimed to explore how different groups – PP and nulliparous (NP) women – and different ways of holding a car seat while standing – no holding, symmetrical holding with two hands in front, and asymmetrical holding with one arm by the side – affect balance and limb loading symmetry. Results showed that postpartum women struggled more with balance as the task became more challenging, with asymmetrical holding showing large differences between groups. PP women also exhibited greater asymmetric limb loading compared to NP women with asymmetrical holding creating the greatest level of asymmetric limb loading. The study also aimed to explore how the two groups – PP and NP – and the different ways of lifting a car seat – symmetrically and asymmetrically – affect balance and limb loading. Both groups had more asymmetric limb loading and worse balance with asymmetrical lifting, though NP women showed larger movements during asymmetrical lifting, likely reflecting the movement of the body during the condition. These results highlight the importance to further research balance and limb loading in PP compared to NP women. Understanding whether pelvic instability and weakness may contribute to differences in balance and limb loading is crucial as it may help explain how and why postpartum women face higher risk of injury and chronic pain. Ultimately, such work may find ways to improve postpartum health during daily activities. / VT Engineering Faculty Organization-Opportunity (EFO-O) Seed Investment / Master of Science / Every year, over 3.5 million women give birth in the United States, with about 67.9% delivering vaginally. Over 80% of postpartum (PP) women experience chronic pain in the pelvis, lower back, hip, and legs at 24 weeks after birth, and 20% continue to experience these issues 3 years later. PP women often face pelvic instability and weakness, which disturb balance and lead to asymmetric loading in the pelvis and legs. This imbalance makes daily tasks, such as lifting and carrying a car seat during childcare, more difficult, and increase the risk of chronic pain and injury. This study aimed to explore how different groups – PP and nulliparous (NP) women – and different ways of holding a car seat while standing – no holding, symmetrical holding with two hands in front, and asymmetrical holding with one arm by the side – affect balance and limb loading symmetry. Results showed that postpartum women struggled more with balance as the task became more challenging, with asymmetrical holding showing large differences between groups. PP women also exhibited greater asymmetric limb loading compared to NP women with asymmetrical holding creating the greatest level asymmetric limb loading. The study also aimed to explore how the two groups – PP and NP – and the different ways of lifting a car seat – symmetrically and asymmetrically – affect balance and limb loading. Both groups had more asymmetric limb loading and worse balance with asymmetrical lifting, though NP women showed larger movements during asymmetrical lifting, likely reflecting the movement of the body during the condition. These results highlight the importance to further research balance and limb loading in PP compared to NP women. Understanding whether pelvic instability and weakness may contribute to differences in balance and limb loading is crucial as it may help explain how and why postpartum women face higher risk of injury and chronic pain. Ultimately, such work may find ways to improve postpartum health during daily activities.

In this paper the higgs mechanism for the standard model is constructed in steps. First by considering spontaneous breaking of discrete and continuous global gauge invariance. Then spontaneous breaking of local gauge invariance. These results are then used to construct the electroweak part of the standard model through application of the higgs mechanism. Finally, the LQT-upper bound of 1 TeV for the higgs mass is calculated through unitarity constraints. / I denna artikel konstrueras higgsmekanismen i standardmodellen stegvis. Först genom att beakta spontant symmetribrott av diskreta samt kontinuerliga globala gaugeinvarianser. Därefter spontant symmetribrott av lokala gaugeinvarianser. Dessa resultat används sedan för att konstruera den elektrosvaga delen av standardmodellen genom tillämpning av higgsmekanismen. Slutligen beräknas en övre gräns för higgsmassan, den så kallade LQT-gränsen, via unitaritetsbegränsingar.

As part of an ongoing program to study fundamental symmetries in nuclear physics, a thorough investigation into shell-model isospin-symmetry-breaking (ISB) calculation theory has been conducted using direct reactions to observe detailed nuclear-structure information. The work presented in this Thesis focuses on the 62Ga superallowed beta-decay system, and consists of two primary experiments; 1) A 64Zn(d,t)63Zn single-neutron transfer reaction, aimed at observing spectroscopic strengths to help guide calculation model-space truncations for the beta-decay wave function radial-overlap component of ISB, and 2) A two-neutron 64Zn(p,t)62Zn transfer to search for excited 0+ states in the daughter nucleus of 62Ga. The experiments were performed at the Maier-Leibnitz-Laboratory, on the joint campuses of the Ludwig-Maximilians Universitat and the Technische Universitat Munchen, in Garching, Germany. In total, 162 states in 63Zn were populated from the 64Zn(d,t) reaction, up to an excitation energy of 4.8 MeV, including the observation of 125 new levels, and unique spin/parity assignments for 92 states. As a result, this work provides the most complete picture for low-spin states in 63Zn to date. A comparison of the extracted S values to the predicted shell-model spectroscopic factors shows an overall over-prediction of strength for the 2p3/2 orbital, and a large disagreement for the 1f7/2 orbital above ~3.5 MeV. No significant 1g9/2 strength was observed, leading to the conclusion that the importance of the 1g9/2 orbital for ISB is small. Additionally, 67 states were observed in 62Zn using the two-neutron pickup mechanism, including the observation of five 0+ states. More than 99% of the total 0+ (p,t) cross-section is observed in the ground-state reaction channel, implying a nearly maximal overlap of the wave functions with the two-nucleon transfer operator. The dominance of the ground-state-to-ground-state (p,t) cross section is strikingly similar to the dominance of the superallowed Fermi beta-decay between isobaric-analogue 0+ states. This suggests that the population of excited 0+ states in the (p,t) reaction may reflect the population in the Fermi decay process, and can be used to guide future experimental and theoretical work. Further discussion of these results as they relate to the ISB correction calculations, and the implications for future theoretical work are presented in this Thesis. / This work was supported in part by the Natural Sciences and Engineering Research Council of Canada, the Ontario Ministry of Economic Development and Innovation, the DFG Cluster of Excellence `Origin and Structure of the Universe', and NSF grant PHY-1068217.

Symmetry and symmetry-breaking have, in the last one hundred and fifty years, become incorporated as central explanatory concepts within the natural sciences and mathematics. An abbreviated review of the incorporation of symmetry within the disciplines of mathematics, physics, philosophy and biology, provides a frame within which to develop of a model of mind. This thesis combines the framework provided by symmetry and symmetry-breaking with a structural understanding of self-referential dynamics in examining the implied Kantian model of mind. It considers that Kant’s assumption of a transcendental self unnecessarily isolates consciousness from being understood as a product of complex natural processes. Kant’s structural model of mind is examined and reformulated in terms of a more fundamental form and process. The space required for any non-reductionist model of mind is proposed as being generated through an enfolding of dimensionality in the occurrence of categorical level symmetry breaking during evolutionary development. The temporally extended function is accounted for in terms of self-referential structural dynamics operating within the primary temporal asymmetry. The model of mind proposed is created through application of naturalistic explanations incorporating symmetry and has attributes that may prove of interest to non-reductionists. The phenomenological geometry established provides a framework to understand the experiential phenomenon of qualia while conforming to the requirements of a natural explanation. Information is conceived as being transmitted inwaveforms propagated across spaces of enfolded dimensionalities through structural framesdemarcating nested spaces and condensing in the synthesis of unity in the object of attention,or image, and returning to distribute, the now reformulated, information outward acrosscontextual frames and spaces. This simplified dynamic is considered to operate at all levels of natural phenomena and involves the reintroduction of Bohm’s concepts of implicate and explicate order. The result is a model of mind employing a minimum structural form and self-referential dynamics that has potential for integration across the discipline theoretic frames of the natural sciences while retaining, for the domain of conscious phenomena, an independent causal significance in terms of a temporal structuralism.

The study of the muon decay process μ+ → e+νeν ̄μ is a powerful constraint on the behaviour of the weak interaction, without contamination of the other, stronger, fundamental interactions. The spectrum measured from the momentum and angles of the decay positrons is parametrized using a set of four decay parameters. The purpose of the TWIST experiment is to measure these decay parameters to an unprecedented precision; an order of magnitude improvement in the uncertainties over measurements completed before the TWIST experiment. Measurements of the muon decay parameters constrain the values of a series of 19 weak coupling constants. In the standard model, V-A weak interaction, 18 of these constants are 0, while the remaining constant describes interactions between left handed particles, gV_LL= 1.The decay parameter ρ quantifies the behaviour of the spectrum with respect to momentum. According to the standard model the value of this parameter is 3/4. TWIST measured a value of ρ = 0.74991±0.00009(stat)±0.00028(sys). The measurement is limited by its systematic uncertainty, so a large focus of the experiment was on the determination and control of these uncertainties. The systematic uncertainties are derived from uncertainties in the detector construction and uncertainties in the biases generated by differences between the data and a matching Monte Carlo. Muon decay also limits the possibility of family symmetry breaking interactions. TWIST can be used to search for the possibility of muons decaying into a positron and a single unidentified neutral particle μ+ → e+X0 that does not otherwise interact with normal matter. The large momentum and angle acceptance of the TWIST spectrometer allows for searches of two body decays for masses of the X0 boson mX0 ∈ [0,80] MeV/c, with a variety of behaviours with respect to the angle of the positron track. Upper limits on massive and mass-less X0 decays are set with a 90% confidence level separately at parts per million for massive decays and parts in 10000 for mass-less decays.

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Orientador: Claudina Izepe Rodrigues / Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica / Made available in DSpace on 2018-08-27T16:14:16Z (GMT). No. of bitstreams: 1 Franco_MarciaCristinaLemosGuimaraes_M.pdf: 20497304 bytes, checksum: c28b5c2e4a775ec0c3f67197069a584f (MD5) Previous issue date: 2015 / Resumo: Neste trabalho apresentamos um estudo sobre grupos, transformações geométricas e isometrias no plano. Apresentamos o teorema da classificação das isometrias no plano, o teorema de Leonardo que classifica os grupos de simetria de ornamentos limitados e o teorema da classificação dos grupos de frisos. Propomos sequências de atividades para a Educação Básica envolvendo as isometrias e a identificação do grupo de simetria de um ornamento limitado e de um friso. Além disso, as atividades sugeridas apresentam intuitivamente a ideia da estrutura algébrica de grupos. Finalizamos este trabalho relatando como ocorreu a aplicação de três das sequências sugeridas, os procedimentos adotados e os resultados obtidos / Abstract: We present a study of groups, geometric transformations and isometries in the plane. Introducing the classification theorem of isometries in the plane, the Leonardo theorem that classifies symmetry groups of limited ornaments and the classification theorem of friezes groups. We propose a sequence of activities for the basic education involving isometry and identification of symmetry group of limited ornaments and friezes. Moreover some of the suggested activities provide an intuitive idea of the algebraic structure of groups. We end this paper by reporting on the manner in which the application of three of the suggested sequences occurred, the procedures that were adopted and the results that were obtained / Mestrado / Matemática em Rede Nacional / Mestra

This thesis constructs several groups entirely by hand via their symmetric presentations. In particular, the technique of double coset enumeration is used to manually construct J₃ : 2, the automorphism group of the Janko group J₃, and represent every element of the group as a permutation of PSL₂ (16) : 4, on 120 letters, followed by a word of length at most 3.