Mobil datakonsumtion har drastiskt ökat de senaste åren vilket belastar de existerande kommunikationsnätverken. I och med den ökade belastningen av existerande infrastrukturer krävs det nya kommunikationslösningar. Detta har i sin tur skapat ett behov för dataavlastning på fasta nätverk, exempelvis Wi-Fi-nätverk. I denna studie undersöker vi genom simuleringar hur vi kan underhålla ett storskaligt och dynamiskt Bluetooth meshnätverk i en miljö likt Stortorget under Malmöfestivalen. Vi implementerar en nätverkstopologi för Bluetooth, scatternettopologin, i nätverkssimulatorn NS-3 och utför simuleringar där vi provocerar förändringar i topologin. Resultaten av våra simuleringar visar på att nätverket lyckas återhämta sig vid förändring i topologin, att scatternettopologin minst klarar av 240 dynamiska mobila noder samt att max 3 noder påverkas vid förändringar i topologin för simuleringar av upp till 240 noder. / Mobile data consumption has drastically increased in the recent years which stress theexisting communication networks. As an effect of the increased load a demand for newcommunication solutions has arisen, creating a need for data offloading onto fixed networks such as Wi-Fi. In this thesis, we aim to study how to maintain and reconstruct a large and dynamic Bluetooth mesh network in an environment such as Stortorget during Malmöfestivalen. We implement a network topology specific for Bluetooth, the scatternet topology, in the network simulator NS-3 and run simulations in which we provoke changes in the network topology. The result of our simulations shows that the network is able to heal itself when the topology changes, that the scatternet topology can manage up to 240 dynamic mobile nodes and that at most 3 nodes are affected when the topology changes during simulations of up to 240 nodes.

Die Arbeit beschäftigt sich mit zwei Themen: den nichtkommutativen Yang-Mills-Theorien und der AdS/CFT-Korrespondenz. Im ersten Teil wird eine teilweise Aufsummation der theta-entwickelten Störungstheorie untersucht. Letztere stellt einen Weg dar, nichtkommutative Yang-Mills-Theorien mit beliebigen Eichgruppen G als Störungsentwicklung im Nichtkommutativitätsparameter theta zu definieren. Es wird gezeigt, daß man im Fall, daß G eine echte Untergruppe von U(N) ist, die ungleich einer U(M) ist (M / This thesis addresses two topics: noncommutative Yang-Mills theories and the AdS/CFT correspondence. In the first part we study a partial summation of the theta-expanded perturbation theory. The latter allows one to define noncommutative Yang-Mills theories with arbitrary gauge groups G as a perturbation expansion in the noncommutativity parameter theta. We show that for G being a subset of U(N) but not equal to U(M), M

<p>For the first time in the history of physics we stand in front of a theory that might actually serve as a unification of it all - string theory. It provides a self-consistent framework for gravity and quantum mechanics, which naturally incorporates matter and gauge interactions of the type seen in the standard model. Unfortunately, at the moment we do not know of any principle that selects the vacuum of the theory, so predictions about our four-dimensional world are still absent. However, the introduction of extended objects opens up an intricate new arena of physics, which is non-trivial and challenging to map out, even at a basic level.</p><p>A key concept of quantum gravity is holography; this is realised in string theory by the AdS/CFT correspondence, which relates string theory to a field theory living in a lower dimensional space. In this thesis we discuss two limits of the correspondence, namely the BMN limit, giving rise to a plane wave geometry, and the tensionless limit, exhibiting massless higher spin interactions. We also study a limit of string theory in a background electric field, where the theory is described by open strings and positively wound closed strings only.</p><p>We begin with a brief review of the theory, focusing on an intuitive understanding of the basic aspects and serving as an introduction to the papers. In the first paper we calculate, from two different points of view, scattering amplitudes in the non-commutative open string limit. In the second paper we obtain the quadratic scalar field contributions to the stress-energy tensor in the minimal bosonic higher spin gauge theory in four dimensions. In the last paper we propose a way to avoid fermion doubling when discretizing the string in the BMN limit.</p>

For the first time in the history of physics we stand in front of a theory that might actually serve as a unification of it all - string theory. It provides a self-consistent framework for gravity and quantum mechanics, which naturally incorporates matter and gauge interactions of the type seen in the standard model. Unfortunately, at the moment we do not know of any principle that selects the vacuum of the theory, so predictions about our four-dimensional world are still absent. However, the introduction of extended objects opens up an intricate new arena of physics, which is non-trivial and challenging to map out, even at a basic level. A key concept of quantum gravity is holography; this is realised in string theory by the AdS/CFT correspondence, which relates string theory to a field theory living in a lower dimensional space. In this thesis we discuss two limits of the correspondence, namely the BMN limit, giving rise to a plane wave geometry, and the tensionless limit, exhibiting massless higher spin interactions. We also study a limit of string theory in a background electric field, where the theory is described by open strings and positively wound closed strings only. We begin with a brief review of the theory, focusing on an intuitive understanding of the basic aspects and serving as an introduction to the papers. In the first paper we calculate, from two different points of view, scattering amplitudes in the non-commutative open string limit. In the second paper we obtain the quadratic scalar field contributions to the stress-energy tensor in the minimal bosonic higher spin gauge theory in four dimensions. In the last paper we propose a way to avoid fermion doubling when discretizing the string in the BMN limit.