Supersymmetry and R-symmetry breaking in models with non-canonical Kähler potential

We analyze several aspects of R-symmetry and supersymmetry breaking in generalized O'Raifeartaigh models with non-canonical Kähler potential. Some conditions on the Kähler potential are derived in order for the non-supersymmetric vacua to be degenerate. We calculate the Coleman-Weinberg (CW) effective potential for general quiral non-linear sigma models and then study the 1-loop quantum corrections to the pseudo-moduli space. For R-symmetric models, the quadratic dependence of the CW potential with the ultraviolet cutoff scale disappears. We also show that the conditions for R-symmetry breaking are independent of this scale and remain unchanged with respect to those of canonical models. This is, R-symmetry can be broken when generic R-charge assignments to the fields are made, while it remains unbroken when only fields with R-charge 0 and 2 are present. We further show that these models can keep the runaway behavior of their canonical counterparts and also new runaway directions can be induced. Due to the runaway directions, the non-supersymmetric vacua is metastable.Facultad de Ciencias Exacta

Supersymmetry and R-symmetry breaking in models with non-canonical Kähler potential

We analyze several aspects of R-symmetry and supersymmetry breaking in generalized O'Raifeartaigh models with non-canonical Kähler potential. Some conditions on the Kähler potential are derived in order for the non-supersymmetric vacua to be degenerate. We calculate the Coleman-Weinberg (CW) effective potential for general quiral non-linear sigma models and then study the 1-loop quantum corrections to the pseudo-moduli space. For R-symmetric models, the quadratic dependence of the CW potential with the ultraviolet cutoff scale disappears. We also show that the conditions for R-symmetry breaking are independent of this scale and remain unchanged with respect to those of canonical models. This is, R-symmetry can be broken when generic R-charge assignments to the fields are made, while it remains unbroken when only fields with R-charge 0 and 2 are present. We further show that these models can keep the runaway behavior of their canonical counterparts and also new runaway directions can be induced. Due to the runaway directions, the non-supersymmetric vacua is metastable.Facultad de Ciencias Exacta

Quantum mechanics in non(anti)commutative superspace

We consider non(anti)commutative (NAC) deformations of d ≤ 1 ≤ 2 superspace. We find that, in the chiral base, the deformation preserves only a half of the original (linearly realized) supercharge algebra, as it usually happens in NAC field theories. We obtain in terms of a real supermultiplet a closed expression for a deformed Quantum Mechanics Lagrangian in which the original superpotential is smeared, similarly to what happens for the two dimensional deformed sigma model. Quite unexpectedly, we find that a second conserved charge can be constructed which leads to a nonlinear field realization of the supersymmetry algebra, so that finally the deformed theory has as many conserved supercharges as the undeformed one. The quantum behavior of these supercharges is analyzed.Facultad de Ciencias Exacta

Quantum mechanics in non(anti)commutative superspace

We consider non(anti)commutative (NAC) deformations of d ≤ 1 ≤ 2 superspace. We find that, in the chiral base, the deformation preserves only a half of the original (linearly realized) supercharge algebra, as it usually happens in NAC field theories. We obtain in terms of a real supermultiplet a closed expression for a deformed Quantum Mechanics Lagrangian in which the original superpotential is smeared, similarly to what happens for the two dimensional deformed sigma model. Quite unexpectedly, we find that a second conserved charge can be constructed which leads to a nonlinear field realization of the supersymmetry algebra, so that finally the deformed theory has as many conserved supercharges as the undeformed one. The quantum behavior of these supercharges is analyzed.Facultad de Ciencias Exacta

Non(anti)commutative superspace with coordinate-dependent deformation

We consider non(anti)commutative superspace with coordinate-dependent deformation parameters Cαβ . We show that a chiral N = 1/2 supersymmetry can be defined and that chiral and antichiral superfields are still closed under the Moyal-Weyl associative product implementing the deformation. A consistent N = 1/2 super Yang-Mills deformed theory can be constructed provided Cαβ satisfies a suitable condition which can be connected with the graviphoton background at the origin of the deformation. After adding matter, we also discuss the Konishi anomaly and the gluino condensation.Facultad de Ciencias Exacta

Bogomol’nyi-Prasad-Sommerfield analysis of gauge-field–Higgs models in nonanticommutative superspace

We extend the study of Bogomol'nyi-Prasad-Sommerfield (BPS) equations in N = 1/2 super Yang-Mills theory to the case of models with gauge symmetry breaking. We first consider an Abelian gauge-Higgs supersymmetric Lagrangian in d = 4 dimensional Euclidean space obtained by deforming N = 1 superspace. The supermultiplets include chiral and vector superfields and its bosonic content coincides with that of the Abelian-Higgs model where vortex solutions to the BPS equation are known to exist in the undeformed case. We also consider the d = 3 dimensional reduction of a non-Abelian d = 4 deformed model and study its deformed BPS equations, showing the existence of new monopole solutions which depend on the deformation parameter.Facultad de Ciencias Exacta

A coordinate-dependent superspace deformation from string theory

Starting from a type II superstring model defined on R2,2 × CY6 in a linear graviphoton background, we derive a coordinate dependent C-deformed N = 1, d ≤ 2+2 superspace. The chiral fermionic coordinates θ satisfy a Clifford algebra, while the other coordinate algebra remains unchanged. We find a linear relation between the graviphoton field strength and the deformation parameter. The null coordinate dependence of the graviphoton background allows to extend the results to all orders in α′.Facultad de Ciencias Exacta

A coordinate-dependent superspace deformation from string theory

Starting from a type II superstring model defined on R2,2 × CY6 in a linear graviphoton background, we derive a coordinate dependent C-deformed N = 1, d ≤ 2+2 superspace. The chiral fermionic coordinates θ satisfy a Clifford algebra, while the other coordinate algebra remains unchanged. We find a linear relation between the graviphoton field strength and the deformation parameter. The null coordinate dependence of the graviphoton background allows to extend the results to all orders in α′.Facultad de Ciencias Exacta