Complex linear effective theory and supersymmetry breaking vacua

Abstract:We systematically construct ghost-free higher-derivative actions of Abelian vector supermultiplets in four-dimensional N = 1 global supersymmetric theories. After giving a simple example which illustrates that a naive introduction of a higher-derivative term gives rise to a ghost, we discuss possible building blocks for a ghost-free action and explicitly show that their bosonic parts have no ghost mode and the auxiliary field D does not propagate. Higher-derivative terms yield higher powers of the auxiliary field D in the actions, and the D-term equations of motion consequently admit multiple solutions in general. We confirm that the well-known supersymmetric Dirac-Born-Infeld action falls into this class. We further give another example in which the standard quadratic kinetic term (Maxwell term) is corrected by a quartic term of the field strength. We also discuss possible couplings to matter fields and a deformed D-term potential.

Section: Summary and Discussionmentioning

confidence: 99%

Ghost-free vector superfield actions in supersymmetric higher-derivative theories

Fujimori

Nitta

Ohashi

et al. 2017

“…As we mentioned previously, the theory (7.12) has a solution that spontaneously breaks supersymmetry [9,10]. The reason why this can happen is the non-minimal nature of the complex linear supermultiplet.…”

Section: Jhep02(2017)076mentioning

confidence: 95%

“…This model has been studied in [8][9][10] where it has been demonstrated that the equations of motions have several vacuum solutions including one which breaks supersymmetry. For that reason it would be interesting to find the supercurrents for this theory and the list of supergravities it can be coupled to.…”

Section: Jhep02(2017)076mentioning

confidence: 99%

“…It has recently become clear that this is not the case since in certain theories with higher derivative terms some of the auxiliary components can become propagating and thus change the degrees of freedom of the theory. This fact motivated the use of complex linear superfield as a prime candidate for various phenomenological models regarding spontaneous supersymmetry breaking [6][7][8][9][10][11] that is, so far, much less understood than the standard mechanisms. For that reason it would be desirable to study aspects of theories of complex linear superfields.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Complex linear superfields, supercurrents and supergravities

Kočí

Koutrolikos

Unge

2017

We present expressions for the supercurrents generated by a generic 4D, N = 1 theory of complex linear superfield Σ. We verify that these expressions satisfy the appropriate superspace conservation equations. Furthermore, we discuss the component projection in order to derive expressions for the energy-momentum tensor, the supersymmetry current and the R-symmetry current when available. In addition, we discuss aspects of the coupling of the theory to supergravity. Specifically, we present a straightforward method to select the appropriate formulations of supergravity that one must use in order to do the coupling. This procedure is controlled by a superfield X originating from the Super-Poincaré invariance of the theory. We apply these results to examples of theories with higher derivative terms.

“…However, this viewpoint recently changed when it was shown that models of complex linear superfields can break supersymmetry in an entirely new fashion [17][18][19], and violate the chiral-complex linear duality. The simplest model is described by the Lagrangian…”

Section: Introductionmentioning

confidence: 99%

Superspace higher derivative terms in two dimensions

Farakos

Kočí

Unge

2017

Self Cite

We study (2, 2) and (4, 4) supersymmetric theories with superspace higher derivatives in two dimensions. A characteristic feature of these models is that they have several different vacua, some of which break supersymmetry. Depending on the vacuum, the equations of motion describe different propagating degrees of freedom. Various examples are presented which illustrate their generic properties. As a by-product we see that these new vacua give a dynamical way of generating non-linear realizations. In particular, our 2D (4, 4) example is the dimensional reduction of a 4D N = 2 model, and gives a new way for the spontaneous breaking of extended supersymmetry.