پديد آورنده :
قرباني، نفيسه
عنوان :
مطالعه ي تقارن هاي مجانبي فضاي پادودوسيته در فرمول بندي چرن- سيمونز
مقطع تحصيلي :
كارشناسي ارشد
گرايش تحصيلي :
ذرات بنيادي
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده فيزيك
يادداشت :
ص.ع.به فارسي و انگليسي
استاد راهنما :
فرهنگ لران
استاد مشاور :
احمد شيرزاد
تاريخ نمايه سازي :
28/10/92
استاد داور :
بهروز ميرزا، مسلم زارعي
چكيده فارسي :
به فارسي و انگليسي: قابل رويت در نسخه ديجيتالي
چكيده انگليسي :
Study of Asymptotic Symmetries of the AdS Space in Chern Simons Theory Nafiseh Ghorbani Nafiseh Ghorbani@ph iut ac ir 17 09 2013 Department of Physics Isfahan University of Technology Isfahan 84156 83111 Iran Degree M Sc Language FarsiSupervisor Dr Farhang LoranAbstractChern Simons theory is a gauge theory with topological action If we choose ISO 2 1 as a Lie groupfor this action Chern Simons action and 2 1 dimensional gravity are equivalent With this choicewe have equations of motion of general relativity and the gauge transformations will be the same asLorantz transformation and diffeomorphism Also 2 1 dimensional gravity with negative cosmolgi cal constant can be stated by Chern Simons action with SO 2 2 and its gauge transformations Theinner product for SO 2 2 can be written in two ways so we have two Chern Simons action for 2 1 dimensoinal gravity with negative cosmological constant which sum of both actions will leads toclassical equations of motion of general relativity By using Hamiltonian method for Chern Simons action and obtaining the constrains and genera tors of gauge transformations we can find global charges for this theory and then with algebra of thesecharges we can find central charge As will be seen algebra of global charges gives a central extensionof its algebra We study this algebra in two cases that leads to affine and Virasoro algebra The algebra of the asymptotic symmetries generators of 2 1 dimensional gravity with negativecosmological constant is Virasoro In Chern Simons theory gauge transformations with appropri ate parameters lead to Virasoro algebra Thus asymptotic symmetries of 2 1 dimensional gravitywith negative cosmological constant exist in Chern Simons theory As a result we can describe2 1 dimensional gravity with negative cosmological constant by Chern Simons theory by applyingSO 2 2 as a Lie group
استاد راهنما :
فرهنگ لران
استاد مشاور :
احمد شيرزاد
استاد داور :
بهروز ميرزا، مسلم زارعي
