The Standard Model (SM) of particle physics has been remarkably successful to describe strong, weak and electromagnetic forces of nature, as it has agreed with most of the experiments till date. However, there are still ...

This thesis presents work done on topological phases, Majorana modes, dynamics and transport in various system like the Kitaev models in one and two dimensions and systems with junctions of a p-wave superconductor and ...

One of the recent fundamental developments in theoretical high energy physics is the AdS/CFT correspondence [1, 2, 3, 4] which posits a relationship between Quantum Field Theories (QFT) in a given dimension and String ...

A search for dark matter particles in the events containing large missing transverse energy accompanied by b-quarks has been performed. The data collected by the Compact Muon Solenoid detector at the Large Hadron Collider ...

The nature of interactions of fundamental particles is governed by symmetries. These interactions are well described by an elegant and simple SU(3)c x SU(2)L x U(1)Y symmetric gauge theory that we call the Standard Model ...

The Standard Model of particle physics which attempts to describe all matter and all forces in the universe (except gravity),has been in agreement with most of the experiments till date. However theoretically and ...

The idea of holography [1, 2] finds a concrete realization in form of the AdS/CFT correspondence [3, 4]. This duality relates a field theory with conformal symmetries to quantum gravity living in one higher dimension. In ...

This thesis presents the work done on electronic transport in various interacting and non-interacting systems in one and two dimensions. The systems under study are: an interacting quantum dot [1], a non-interacting quantum ...

This thesis reports our work on transport related problems in mesoscopic physics using analytical as well as numerical techniques. Some of the problems we studied are: effect of interactions and static impurities on the ...

This dissertation consist of three parts. The first part of the thesis is devoted to the study of gravity and higher spin gauge theories in 2+1 dimensions. We construct cosmological so-lutions of higher spin gravity in 2+1 ...