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Madhusudhan Raman
(The Institute of Mathematical Sciences, 2018)
We study the modular structures underlying N = 2 superconformal gauge theories in
four dimensions. Using constraints from a nonperturbative duality symmetry called
S-duality, we show that observables of interest may be ...
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Raj Kumar Pan
(The Institute of Mathematical Sciences, 2009)
Complex systems, whether integrated circuits, food webs, transportation networks, social systems, or the biochemical interactome of a living cell, all behave in ways that cannot be fully explained by analyzing their ...
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Jampa Maruthi Pradeep Kanth
(The Institute of Mathematical Sciences, 2012)
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Apurba Biswas
(The Institute of Mathematical Sciences, 2023)
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Balaji, K.R.S.
(, 2009-08-27)
This thesis concentrates on a few aspects of massive neutrino physics. The effects of matter on neutrino oscillations is described, which are a consequence of massive neutrinos. A short description of the electromagnetic ...
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Prakash, J. S.
(, 2009-08-12)
The mathematical theory of groups has been very successful in facilitating the description of phenomena in various branches of Physics such as Crystallography, Atomic Physics, Molecular Physics, Nuclear Physics, Particle ...
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Rishu Kumar Singh
(The Institute of Mathematical Sciences, 2017)
Complex systems comprising a large number of strongly interacting components that possess non-trivial dynamics are ubiquitous in nature, examples ranging from the immune system of organisms to ecological food. In the ...
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Renjan Rajan John
(The Institute of Mathematical Sciences, 2017)
In this thesis, we study gauge theories with N = 2 supersymmetry in four dimensions. The low energy effective action of these theories on their Coulomb branch is described by a holomorphic function called the prepotential. ...
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Jebathilagar Solomon Ivan
(The Institute of Mathematical Sciences, 2011)
Nonclassicality and entanglement are two important features exhibited by continuous variable quantum states. This thesis is centered on the connection between nonclassicality and entanglement in the context of continuous ...
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Mary Elizabeth, Selvadoray
(, 2009-08-17)
The nonclassical oscillations in photon number distribution exhibits collapses and revivals similar to those exhibited in the Jaynes-Cumming's model. These oscillations are considered as a qualitative signature of ...
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Sridhar, S.
(2011-10-14)
Excitable media is a generic term for a wide range of physical, chemical
and biological systems that exhibit spontaneous formation of spatial patterns.
Examples of such patterns include spiral waves in a two-dimensional ...
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Nalini, B. Menon
(2009-08-04)
This thesis deals with polynomial algebras and applications to relativistic wave equations. It consists of three parts, Part I deals with polynomial algebras and some applications to the higher spin theories of relativistic ...
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Arya, S.
(The Institute of Mathematical Sciences, 2017)
The two-particle self-consistent approximation (TPSC) is a non-perturbative semi-analytical method used to study the single-band Hubbard model from weak to intermediate coupling. This method satisfies many physical constraints ...
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Rajeev Singh
(The Institute of Mathematical Sciences, 2014)
In this thesis, the author investigates how patterns can arise by considering several models of complex systems comprising large number of components interacting with each other via non-trivial connection topologies. Such ...
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Alok Laddha
(The Institute of Mathematical Sciences, 2009)
This thesis shows how two dimensional parametrized field theories constitute perfect toy models for Loop Quantum Gravity. Two dimensional massless scalar field theories on a Minkowskian plane and show how various aspects ...
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Neeraj Kumar Kamal
(The Institute of Mathematical Sciences, 2014)
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Manoj, G.
(, 2009-08-28)
Some aspects of coarsening and the associated notion of persistence in a few well-known non-equilibrium processes are studied in this thesis. This thesis consists of 5 chapters. Apart from the introduction chapter, 2nd ...
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Narayan Rana
(IMSc, 2016)
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Trisha Nath
(The Institute of Mathematical Sciences, 2016)
Systems of particles that interact only through excluded volume interactions are minimal models to study entropy-driven phase transitions. In this thesis we study in detail two hard core lattice gas models on the square ...
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Anoop Varghese
(The Institute of Mathematical Sciences, 2013)
Polyelectrolytes (PEs) are polymers whose monomers contain ionizable groups that dissociate in polar solvents, releasing charged counterions into the solvent, thereby making the polymer backbone charged. The thermodynamic ...