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Sonata para piano n. 1 de Francisco Mignone : comparação de gravações e decisões interpretativasSoares, Nayane Nogueira January 2018 (has links)
Esta pesquisa teve por objetivo investigar empiricamente as decisões interpretativas quanto ao timing e dinâmica de quatro execuções do primeiro movimento da Sonata para piano n.1 de Francisco Mignone. Por meio da comparação de gravações, foram identificadas estratégias expressivas adotadas pelos intérpretes em relação ao timing, dinâmica e articulação, evidenciando assim o direcionamento expressivo do discurso musical em determinados trechos da obra. Tendo em vista os eventos musicais característicos de cada seção da Sonata, foi realizada uma análise da organização rítmica que apoiou a análise das gravações. / This research aimed at empirically investigating the interpretative decisions regarding timing and dynamics of four recorded performances of the first movement of Sonata n.1 for piano by Francisco Mignone. The comparison identified the expressive strategies adopted by the chosen interpreters in relation to articulation and dynamics thus bringing out the temporal profiles of predetermined spans. Issues such as background and organizational planning of the Sonata were taken into account in view of the musical events characteristic of each section. Theories of rhythmic organization supported the analyses of recordings.
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Sonata para piano n. 1 de Francisco Mignone : comparação de gravações e decisões interpretativasSoares, Nayane Nogueira January 2018 (has links)
Esta pesquisa teve por objetivo investigar empiricamente as decisões interpretativas quanto ao timing e dinâmica de quatro execuções do primeiro movimento da Sonata para piano n.1 de Francisco Mignone. Por meio da comparação de gravações, foram identificadas estratégias expressivas adotadas pelos intérpretes em relação ao timing, dinâmica e articulação, evidenciando assim o direcionamento expressivo do discurso musical em determinados trechos da obra. Tendo em vista os eventos musicais característicos de cada seção da Sonata, foi realizada uma análise da organização rítmica que apoiou a análise das gravações. / This research aimed at empirically investigating the interpretative decisions regarding timing and dynamics of four recorded performances of the first movement of Sonata n.1 for piano by Francisco Mignone. The comparison identified the expressive strategies adopted by the chosen interpreters in relation to articulation and dynamics thus bringing out the temporal profiles of predetermined spans. Issues such as background and organizational planning of the Sonata were taken into account in view of the musical events characteristic of each section. Theories of rhythmic organization supported the analyses of recordings.
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Sonata para piano n. 1 de Francisco Mignone : comparação de gravações e decisões interpretativasSoares, Nayane Nogueira January 2018 (has links)
Esta pesquisa teve por objetivo investigar empiricamente as decisões interpretativas quanto ao timing e dinâmica de quatro execuções do primeiro movimento da Sonata para piano n.1 de Francisco Mignone. Por meio da comparação de gravações, foram identificadas estratégias expressivas adotadas pelos intérpretes em relação ao timing, dinâmica e articulação, evidenciando assim o direcionamento expressivo do discurso musical em determinados trechos da obra. Tendo em vista os eventos musicais característicos de cada seção da Sonata, foi realizada uma análise da organização rítmica que apoiou a análise das gravações. / This research aimed at empirically investigating the interpretative decisions regarding timing and dynamics of four recorded performances of the first movement of Sonata n.1 for piano by Francisco Mignone. The comparison identified the expressive strategies adopted by the chosen interpreters in relation to articulation and dynamics thus bringing out the temporal profiles of predetermined spans. Issues such as background and organizational planning of the Sonata were taken into account in view of the musical events characteristic of each section. Theories of rhythmic organization supported the analyses of recordings.
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The Nicolai Map and its Application in Supersymmetric Field TheoriesMalcha, Hannes 12 May 2023 (has links)
Supersymmetrische Feldtheorien können durch eine nicht-lineare und nicht-lokale Transformation der bosonischen Felder charakterisiert werden, der Nicolai-Abbildung. Sie bildet das wechselwirkende Funktionalmaß so auf das Maß der zugehörigen freien Theorie ab, dass die Jacobi-Determinante gleich dem Produkt der fermionischen Determinanten ist. Wir untersuchen die Nicolai-Abbildungen des 2-dimenionalen Wess-Zumino Modells und der N=1 sowie N=4 super Yang-Mills Theorien. Wir geben einen konstruktiven Beweis für die Existenz der Nicolai-Abbildung in diesen Theorien. Der Beweis beinhaltet die Herleitung des infinitesimalen Generators der inversen Abbildung, dem R-Operator. Wir benutzen diesen Operator, um die Nicolai-Abbildung im 2-dimensionalen Wess-Zumino Modell bis zur fünften Ordnung in der Kopplung zu berechnen. In der N=1 super Yang-Mills Theorie führen wir die Begriffe der on- bzw. off-shell Nicolai-Abbildungen ein. Die on-shell Abbildung existiert in d=3,4,6 und 10 Dimensionen aber nur für die Landau Eichung. Wir bestimmen sie bis zur vierten Ordnung. Die off-shell Abbildung existiert nur in d=4 Dimensionen aber für allgemeine Eichungen. Wir berechnen sie in der axialen Eichung bis zur zweiten Ordnung. Für die N=4 super Yang-Mills Theorie geben wir den R-Operator an und zeigen, dass man die N=4 Nicolai-Abbildung durch dimensionale Reduktion aus der N=1 Abbildung erhält. Inverse Nicolai-Abbildungen bilden Quantenkorrelationsfunktionen bosonischer Observablen auf freie Korrelationsfunktionen ab. Daher gestatten sie eine Quantisierung supersymmetrischer Theorien ohne die Verwendung von Fermionen oder Geistern. Wir benutzten diese Eigenschaft, um den Vakuum-Erwartungswert der Maldacena-Wilson Geraden bis zur sechsten Ordnung zu berechnen. Im zweiten Teil dieser Arbeit bestimmen wir die explizite Form aller Felder im 1/2-BPS Energie-Impuls-Tensor Multiplet in N=4 super Yang-Mills. Dieses Multiplet enthält den R-Symmetrie Fluss und den Energie-Impuls-Tensor. / Supersymmetric field theories can be characterized by the existence of a non-linear and non-local transformation of the bosonic fields, the Nicolai map. It maps the interacting functional measure to that of a free theory such that the Jacobian determinant of the transformation equals the product of the fermionic determinants. In this thesis, we study the Nicolai maps of the 2-dimensional Wess-Zumino model, N=1 super Yang-Mills and N=4 super Yang-Mills. We give a constructive proof for the existence of the Nicolai map in these theories. The proof includes the derivation of the infinitesimal generator of the inverse Nicolai map, called the R-operator. We use this operator to compute the Nicolai map of the 2-dimensional Wess-Zumino model up to the fifth order in the coupling. In N=1 super Yang-Mills, we introduce the notion of on- and off-shell Nicolai maps. The on-shell Nicolai map of N=1 super Yang-Mills exists in d=3,4,6 and 10 dimensions but is constrained to the Landau gauge. We compute this map up to the fourth order. The off-shell Nicolai map exists only in d=4 dimensions but for general gauges. We compute it in the axial gauge up to the second order. In N=4 super Yang-Mills, we give the R-operator and show that the Nicolai map can be obtained from the Nicolai map of 10-dimensional N=1 super Yang-Mills by dimensional reduction. Inverse Nicolai maps map quantum correlation functions of bosonic observables to free correlation functions. Hence, Nicolai maps allow for a fermion (and ghost) free quantization of supersymmetric (gauge) theories. We apply this property to compute the vacuum expectation value of the infinite straight line Maldacena-Wilson loop in N=4 super Yang-Mills to the sixth order. Thus extending the previous perturbative result by one order. In the second part of this thesis, we derive the explicit field content of the 1/2-BPS stress tensor multiplet in N=4 super Yang-Mills, which contains the R-symmetry current and the energy-momentum tensor.
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