8574

7955

كارشناسي ارشد

ذرات بنيادي

اصفهان: دانشگاه صنعتي اصفهان، دانشكده فيزيك

1392

هفت،78ص.

ص.ع.به فارسي و انگليسي

فرهنگ لران

بهروز ميرزا

6/12/92

منصور حقيقت، احمد شيرزاد

فيزيك

ID7955

به فارسي و انگليسي: قابل رويت در نسخه ديجيتالي

Conformal Field eory Bosonization and Troidal Compacti cation Hossein Afsharnia h afsharnia@ph iut ac ir 14 01 2014 Department of Physics Isfahan University of Te nology Isfahan 84156 83111 Iran Degree M Sc Language FarsiSupervisor Dr Farhang Loran loran@cc iut ac irAbstractConformal Field eory CFT is a antum Field eory invariant under conformal symmetry rough this thesis we rst review the conformal eld theory in two dimensions and studyit symmetry group given by the Virasoro Algebra As examples of 2 dimentional CFTs wecalculate the partition functions for free bosons and free fermions on the plane and on the Torusand study modular invariance of thier partition functions By studying the free boson whosetarget space is compacti ed on the circle of radius r 1 we observe that its partition functionis equal to partition function of two dirac fermions on the torus Moreover we investigate on how a non linear sigma modelcan be used to de ne a fermionicsystem with non abelian symmetry For this reason we review the two dimensional bosoniza tion and by introducing the Wess Zumino Wi en action and its corresponding current algebra whi is known as the Kac Moody Algebra we review an equivalent bosonic de nition for afermionic system with non abelian symmetry Furthermore in order to study the e ect of compacti cation on the target space of a quantum eld theory we review the Kaluza Klien reduction approa and nally we study the spectrumof closed bosonic strings under the troidal compacti cations and we review the concept of T Duality Keywords Conformal Field eory Virasoro Algebra Bosonization Wess Zumino Wi en Action A ne Kac Moody Algebra Kaluza Klien Reduction Bosonic String eory Spectrumof Closed String T Duality

فرهنگ لران

بهروز ميرزا

منصور حقيقت، احمد شيرزاد