We perform the bosonic dualisation of the matter coupled N = 1, D = 9 supergravity. We derive the Lie superalgebra which parameterizes the coset map whose Cartan form realizes the second-order bosonic field equations. Following the non-linear coset construction we present the first-order formulation of the bosonic field equations as a twisted self-duality condition.

These lectures provide an introduction to the subject of tachyon condensation in the open bosonic string. The problem of tachyon condensation is first described in the context of the low-energy Yang-Mills description of a system of multiple D-branes, and then using the language of string field theory. An introduction is given to Witten's cubic open bosonic string field theory. The Sen conjectur...

Armchair and zigzag edge terminations in planar hexagonal and trigonal graphene nanorings are shown to underlie one-dimensional topological states associated with distinctive energy gaps and patterns (e.g., linear dispersion of the energy of an hexagonal ring with an armchair termination versus parabolic dispersion for a zigzag terminated one) in the bands of the tight-binding spectra as a func...

We explicitly construct N = 1 worldvolume supersymmetric minimal off-shell Goldstone superfield actions for two options of 1/2 partial spontaneous breaking of AdS5 supersymmetry SU(2, 2|1) corresponding to its nonlinear realizations in the supercosets with the AdS5 and AdS5 × S 1 bosonic parts. The relevant Goldstone supermultiplets are comprised, respectively, by improved tensor and chiral N =...

In this article, we will discuss geometric quantization of 2d QCD with fermionic and bosonic matter fields. We identify the respective large-Nc phase spaces as the infinite dimensional Grassmannian and the infinite dimensional Disc. The Hamiltonians are quadratic functions, and the resulting equations of motion for these classical systems are nonlinear. In [33], it was shown that the linearizat...

We study two homogeneous supersymmetric extensions for the f(R) modified gravity model of Starobinsky with FLRW metric. The actions are defined in terms a superfield R that contains scalar curvature. One has N = 1 local supersymmetry, and its bosonic sector is action; other action 2, contains, additional to Starobinsky, massive field without self-interaction. As expected, sectors these models c...

It is shown that spatially flat, isotropic cosmologies derived from the Brans– Dicke gravity action exhibit a scale factor duality invariance. This classical duality is then associated with a hidden N = 2 supersymmetry at the quantum level and the supersymmetric quantum constraints are solved exactly. These symmetries also apply to a dimensionally reduced version of vacuum Einstein gravity. PAC...

In this paper the harmonic superspace action of tensor multiplet $N=(1,0)$, $d=6$ supersymmetry is constructed which in bosonic limit reduces to known Pasti-Sorokin-Tonin for self-dual field. The involves, besides potential containing dynamical fields, also an auxiliary and a set analytic superfields with gauge PST scalar among them. For each symmetries action, superfield analog found. equation...

One can convert a singular physical theory of several levels based on Lie algebras into a regular one with nearly the same finite predictions and symmetries in a limited correspondence domain by a routine general quantization: 1. Simplify the algebra of each level by a small homotopy, adducing as few new variables as possible, and respecting the relation between levels. 2. Represent the resulti...