We study when Calabi-Yau supermanifolds M with one complex bosonic coordinate and two complex fermionic coordinates are super Ricci-flat, and find that if the bosonic manifold is compact, it must have constant scalar curvature. In [1], we found that super Ricci-flat Kähler manifolds with one fermionic dimension and an arbitrary number of bosonic dimensions exist above a bosonic manifold with a ...

We study the modifications on the metric of an isolated self-gravitating bosonic superconducting cosmic string in a scalar-tensor gravity in the weak-field approximation. These modifications are induced by an arbitrary coupling of a massless scalar field to the usual tensorial field [email protected] [email protected] Also at Grupo de F́ısica Teórica, Universidade Católica de Petrópolis. hela...

The classical dynamics of the tachyon scalar field of cubic string field theory is considered on a cosmological background. Starting from a nonlocal action with arbitrary tachyon potential, which encodes the bosonic and several supersymmetric cases, we study the equations of motion in the Hamilton–Jacobi formalism and with a generalized Friedmann equation, appliable in braneworld or modified gr...

We present the one-loop scalar field effective potential for the N = 2 supersymmetric nonrelativistic self-interacting matter fields coupled to an Abelian Chern-Simons gauge field and for its generalization when bosonic matter fields are coupled to non-Abelian Chern-Simons field. In both models, Gauss’s law linearly relates the magnetic field to the matter field densities; hence, we also includ...

The bosonization process elegantly shows the equivalence of massless scalar and fermion fields in two space-time dimensions. However, with multiple fermions the technique often obscures global symmetries. Witten’s non-Abelian bosonization makes these symmetries explicit, but at the expense of a somewhat complicated bosonic action. Frenkel and Kac have presented an intricate mathematical formali...

We compute the influence of an applied magnetic field on the Casimir energy of a massive scalar field confined between two parallel infinite plates using Schwinger's method from source theory. The boundary conditions are those of a vanishing field through the plates. The obtained results show that a strong magnetic field inhibits the bosonic Casimir effect and that a weak magnetic field increas...

Casimir forces of massive ferrnionic Dirac fields are calculated for parallel plates geometry in spatial space with dimension d and imposing bag model boundary conditions. It is shown that in the range of ma>>l where m is mass of fields quanta and a is the separation distance of the plates, it is equal to massive bosonic fields Casimir force for each degree of freedom. We argue this equalit...

A supersymmetric extension of the U(1)× U(1)′-Higgs bosonic superconducting cosmic string model is considered, where the action is constructed from scalar chiral and vector superfields. The chiral superfields are assumed to transform separately under the Abelian gauge groups, and the constraints imposed upon such a model due to renormalizability, supersymmetry, and gauge invariance are examined...