The bosonic signature operator is defined for Klein-Gordon fields and massless scalar on globally hyperbolic Lorentzian manifolds of infinite lifetime. construction based an analysis families solutions the equation with a varying mass parameter. It makes use so-called oscillation property which states that integrating over parameter generates decay field at infinity. We derive canonical decompo...

In this paper we construct the supersymmetric tensor hierarchy of N=1, d=4 supergravity. We find some differences with the general bosonic construction of 4dimensional gauged supergravities. The global symmetry group of N = 1, d = 4 supergravity consists of three factors: the scalar manifold isometry group, the invariance group of the complex vector kinetic matrix and the U(1) R-symmetry group....

We study a non-anticommutative chiral non-singlet deformation of the N =(1, 1) abelian gauge multiplet in Euclidean harmonic superspace with a product ansatz for the deformation matrix, C (αβ) (ik) = c (αβ) b (ik). This choice allows us to obtain in closed form the gauge transformations and the unbroken N =(1, 0) supersymmetry transformations preserving the Wess-Zumino gauge, as well as the bos...

Recent theories of Sr2RuO4 based on the interplay of strong interactions, spin-orbit coupling and multi-band anisotropy predict chiral or helical ground states with strong anisotropy of the pairing states, with deep minima in the excitation gap, as well as strong phase anisotropy for the chiral ground state. We develop time-dependent mean field theory to calculate the Bosonic spectrum for the c...

In this article we address the subject of finding behavior a charged scalar field $$\phi $$ under influence external constant magnetic and electric fields, perpendicular to each other, including also thermal effects. For purpose derive an expression for corresponding bosonic propagator. As application, explore, in weak sector, mass correction self interacting $$\lambda \phi ^4$$ theory when onl...

We compute the complete 3and 4-dimensional tensor hierarchies, i.e. sets of p-form fields, with 1 ≤ p ≤ D, which realize an off-shell algebra of bosonic gauge transformations. We show how these tensor hierarchies can be put on-shell by introducing a set of duality relations, thereby introducing additional scalars and a metric tensor. These so-called duality hierarchies encode the equations of m...

In this letter, we have considered the universe is filled with the mixture of tachyonic field and scalar or phantom field. If the tachyonic field interacts with scalar or phantom field, the interaction term decays with time and the energy for scalar field is transferred to tachyonic field or the energy for phantom field is transferred to tachyonic field. The tachyonic field and scalar field pot...