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DSpace at IMSc: Recent submissions

  • Modular Structures in Superconformal field theories[HBNI Th144] 
    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 ...
  • Lower bounds for read-once and tropical formulas[HBNI Th143] 
    Anuj Tawari (The Institute of Mathematical Sciences, 2019)
    One of the major aims of theoretical computer science is to understand what is the most efficient way to perform a given task with limited computational resources. In this thesis, some absolutely tight lower bounds are ...
  • Quantum Simulation of Neutrino Oscillation and Dirac Particle Dynamics in Curved Space-time[HBNI Th142] 
    Arindam Mallick (The Institute of Mathematical Sciences, 2018)
    Quantum simulation become a necessary step to learn physics about a system when theoretical analysis, direct experimental observation, and numerical investigations in classical computers are difficult. The Dirac particles ...
  • Non-equilibrium dynamics in complex networks [HBNI Th141] 
    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 ...
  • Root multiplicities for Borcherds-Kac-Moody algebras and graph coloring[HBNI Th140] 
    Arunkumar, G. (The Institute of Mathematical Sciences, 2018)
    Borcherds-Kac-Moody algebras (Borcherds algebras in short) were introduced by R. Borcherds as a natural generalization of Kac-Moody algebras. The theory of Borcherds algebras gained much interest because of its application ...
  • Classical and Approximate kernels for structural parameterizations of some graph parameters[HBNI Th139] 
    Diptapriyo Majumdar (The Institute of Mathematical Sciences, 2018)
    In this thesis, we design some classical and lossy kernels for structural parameterizations of some Packing, Covering, and Connectivity problems. Additionally, we provide some hardness results. Cycle Packing in undirected ...
  • Z _N Symmetry and confinement-deconfinement transition in SU(N)+ Higgs theory[HBNI Th138] 
    Minati Biswal (The Institute of Mathematical Sciences, 2018)
    In this thesis, we study the ZN symmetry and confinement-deconfinement (CD) transition in SU(N) Higgs theory. In the absence of the Higgs field, the Euclidean action is invariant under the ZN gauge transformation. This ...
  • Higher order corrections and soft gluon resummation in perturbative QCD[HBNI Th137] 
    Prasanna Kumar Dhani (The Institute of Mathematical Sciences, 2018)
    With the increasing accurate measurements of various observables at the Large Hadron Collider (LHC), precise theoretical predictions are of paramount importance which will help not only to understand the Standard Model ...
  • Higher order QCD corrections and resummation effects to the Drell-Yan process in the Standard Model and Beyond[HBNI Th136] 
    Pulak Banerjee (The Institute of Mathematical Sciences, 2018)
    Computation of higher order quantum chromodynamics (QCD) corrections play an important role to constrain different model parameters as well as for precise phenomenological predictions at the Large Hadron Collider. The ...
  • Holography and Brownian motion [HBNI Th135] 
    Pinaki Banerjee (The Institute of Mathematical Sciences, 2017)
    This thesis deals with Brownian motion of a charged particle in holographic framework. In the holographic context, dual field theories are usually studied in long wavelength or hydrodynamic limit which is macroscopic ...
  • Study of quantum transport at the Metal-insulator transition in Falicov-Kimball Model within Alloy analogy[HBNI Th133] 
    Prosenjit Haldar (The Institute of Mathematical Sciences, 2017)
    This thesis discusses the five parts - (a) Study of Falicov-Kimball Model (FKM) within alloy analogy using cluster DMFT (CDMFT) technique (b) Study of quantum criticality of dc conductivity at a continuous metal-insulator ...
  • Space efficient graph algorithms [HBNI Th 134] 
    Sankar Deep Chakraborty (The Institute of Mathematical Sciences, 2018)
    Due to the rapid growth of data, algorithms that utilize the space efficiently are increasingly becoming important. This thesis focusses on an emerging area of designing algorithms for fundamental graph problems using ...
  • Physics of gravitational waves in presence of positive cosmological constant[HBNI Th132] 
    Sk Jahanur Hoque (The Institute of Mathematical Sciences, 2017)
    Cosmological observations over past couple of decades favour our universe with a tiny positive cosmological constant. Even a tiniest value of cosmological constant, profoundly alters the asymptotic structure of space-time. ...
  • Microhydrodynamics of active colloids[HBNI Th131] 
    Rajesh Singh (The Institute of Mathematical Sciences, 2017)
    Colloidal suspensions have been studied extensively in the past several decades. In the recent years a new class of colloids, called active colloids, have been synthesized. These active colloids are capable of producing ...
  • Phenomenological studies of the observed anomalies in the T sector[HBNI Th130] 
    Dhargyal (The Institute of Mathematical Sciences, 2018)
    With LHC discovering a scalar behaving like the standard-model (SM) Higgs marks the completion (tentatively at least) of all the particles predicted by SM and validation of the fundamental principles upon which it is built, ...
  • Rare B decays as a probe to beyond standard model physics[HBNI Th129] 
    Rusa Mandal (The Institute of Mathematical Sciences, 2017)
    The thesis predominantly deals with the rare decay B->K*ll where the full angular analysis of the final state gives rise to a multitude of observables. We show the most general parametric form of the amplitude in the ...
  • Some Decidable classes of the distributed synthesis problem[HBNI Th128] 
    Anup Basil Mathew (The Institute of Mathematical Sciences, 2017)
    In this thesis we study the distributed synthesis problem, which asks for an algorithm that synthesizes distributed systems from a given specification. We study this via the equivalent problem of determining the winning ...
  • On Intermediate Subfactors[HBNI Th127] 
    Keshab Chandra Bakshi (The Institute of Mathematical Sciences, 2017)
    In this thesis we examine Pimsner-Popa bases which are not necessarily orthonormal (as in the book of Jones and Sunder) for an inclusion of subfactors of finite Jones' index and showed that this can also be done for ...
  • Matrix Editing via Multivariate Lens[HBNI Th126] 
    Syed Mohammad Meesum (The Institute of Mathematical Sciences, 2017)
    In this thesis we design algorithms for the matrix rigidity problem and its variants and study their hardness in the framework of parameterized complexity. The rigidity of a matrix is a classical concept ...
  • Phenomenology of the Charm decays[HBNI Th125] 
    Aritra Biswas (The Institute of Mathematical Sciences, 2017)
    The thesis gives a detailed phenomenological analysis of the decays of the charmed mesons. Depending on the final state decay products, two types of charm meson decays have been discussed, the hadronic two body pseudoscalar ...