Bryant and Salamon constructed metrics with holonomy G2 and Spin(7) on spin bundles of 3-dimensional space forms, and spin bundles and bundles of anti-self-dual 2-forms on self-dual Einstein 4-manifolds [BrS]. Since, apart from holonomy, the construction of integrable G2(respectively Spin(7)) structures amounts to finding differential 3(4)forms of generic type on 7(8) manifolds satisfying appro...

We consider the coupling to gravity in 4 + δ dimensions of a non linear electroweak symmetry breaking sector, with δ compactified dimensions, and derive an effective lagrangian by integrating over the KK excitations of the graviton and of the dilaton. The effective chiral lagrangian describes the interactions of the electroweak gauge bosons and the goldstone bosons from the electroweak breaking.

A new model of bosonic strings is considered. An action of the model is the sum of the standard string action and a term describing an interaction of a metric with a linear (affine) connection. The Lagrangian of this interaction is an arbitrary analytic function f (R) of the scalar curvature. This is a classically integrable model. The space of classical solutions of the theory consists from se...

Here we discuss the following situation. Consider CP with the standard symplectic form ω such that its cohomology class [ω] ∈ H(CP) is a generator of H(CP). It’s very well known, see f.e. [3], that the canonical class K of the projective space equals to −(n+1)[ω]. Consider the anticanonical line bundle K∗ → CP and fix a connection a on it such that the curvature form Fa is proportional to the s...

We study in the effective Lagrangian approach the possibility of probing anomalous top quark charged current couplings in the single top production at a high energy eγ collider. We analyzed all possible dimension-six CP-conserving operators which can give rise to an anomalous Wtb coupling which represent new physics effect generated at a higher energy scale. For those operators which also give ...

We perform a general study of primordial scalar non-Gaussianities in single field inflationary models. We consider models where the inflaton Lagrangian is an arbitrary function of the scalar field and its first derivative, and the sound speed is arbitrary. We find that under reasonable assumptions, the non-Gaussianity is completely determined by 5 parameters. In special limits of the parameter ...

The phenomenon of an implicit function which solves a large set of second order partial differential equations obtainable from a variational principle is explicated by the introduction of a class of universal solutions to the equations derivable from an arbitrary Lagrangian which is homogeneous of weight one in the field derivatives. This result is extended to many fields. The imposition of Lor...

Quantization of electrodynamics in curved space-time in the Lorenz gauge and with arbitrary gauge parameter makes it necessary to study Green functions of non-minimal operators with variable coefficients. Starting from the integral representation of photon Green functions, we link them to the evaluation of integrals involving Γ-functions. Eventually, the full asymptotic expansion of the Feynman...

Finsler and Lagrange spaces can be equivalently represented as almost Kähler manifolds endowed with a metric compatible canonical distinguished connection structure generalizing the Levi Civita connection. The goal of this paper is to perform a natural Fedosov– type deformation quantization of such geometries. All constructions are canonically derived for regular Lagrangians and/or fundamental ...

Let’s recall some notions from classical Lagrangian field theory. Let M be an oriented supermanifold: our spacetime, of dimension n|d. For our purposes, we will most often think about the case where M is either Minkowski space M̌ = R1,n−1, or Super Minkowski space M = M̌ ×ΠS where S is a representation of Spin(1, n− 1). Definition 1.1. Let E → M be a smooth (super) fibre bundle. The associated sp...