SU (3)-flavor symmetry is the symmetry of three light quarks namely the up, down and strange quarks. Although it is an approximate symmetry of the Standard Model, this symmetry is very useful to study weak decays of hadrons. ...

Surface defects in gauge theories are non-local operators supported on co-dimension two sub manifold. Defects in quantum field theory can provide us with important non- perturbative information eg. di↵erent phase structures ...

In this thesis, we study surface operators in N = 2 supersymmetric QCD theories with gauge group SU(N) and 2N fundamental flavours in four dimensions . The matter content of the theory ensures that it is conformal in the ...

The complete mapping of human and other genomes has revealed that the remarkable complexity of living organisms is expressed by less than 30,000 protein-coding genes. Thus, the observed complexity arises not so much from ...

This thesis is an expository account of a proof of the theorem of R.C.Cowsik and M.V. Nori (1978), which asserts that every algebraic curve in an affine space over a field of positive characteristic is a set theoretic ...

This thesis is devoted to theoretical study of various aspects of low energy collective excitations in a trapped interacting alkali-metal atomic gases (Bose and Fermi) and of fractional quantum hall systems. An equation ...

The thesis mainly deals with the effect of the invariant ultraviolet scale on the thermodynamics of the ideal gases such as photon and degenerate Fermi gas. Incorporating another invariant scale say κ in the known ...

In 1968 Rivlin posed a problem on Algebraic Polynomial; "Characterise those n-tuples {P1, P2, ... P(n-1)}of algebraic polynomials such that the degree of Pj is j for j = 0,1,2,..., n-1., for which there exists a real ...

Classical Dold manifolds were defined as the orbit space of Z 2 action on the product of a sphere and a complex projective space where Z 2 acts on the sphere by antipodal involution and the complex projective space by ...