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Higher derivative field theories: degeneracy conditions and classes

We provide a full analysis of ghost free higher derivative field theories with coupled degrees of freedom. Assuming the absence of gauge symmetries, we derive the degeneracy conditions in order to evade the Ostrogradsky ghosts, and analyze which (non)trivial classes of solutions this allows for. It is shown explicitly how Lorentz invariance avoids the propagation of “half” degrees ...

\( \overline{D3} \) induced geometric inflation

Effective supergravity inflationary models induced by anti-D3 brane interaction with the moduli fields in the bulk geometry have a geometric description. The Kähler function carries the complete geometric information on the theory. The non-vanishing bisectional curvature plays an important role in the construction. The new geometric formalism, with the nilpotent superfield ...

Tensor Galileons and gravity

The particular structure of Galileon interactions allows for higher-derivative terms while retaining second order field equations for scalar fields and Abelian p-forms. In this work we introduce an index-free formulation of these interactions in terms of two sets of Grassmannian variables. We employ this to construct Galileon interactions for mixed-symmetry tensor fields and ...

Exorcising the Ostrogradsky ghost in coupled systems

The Ostrogradsky theorem implies that higher-derivative terms of a single mechanical variable are either trivial or lead to additional, ghost-like degrees of freedom. In this letter we systematically investigate how the introduction of additional variables can remedy this situation. Employing a Lagrangian analysis, we identify conditions on the La-grangian to ensure the existence ...

Off-shell Poincaré supergravity

We present the action and transformation rules of Poincaré supergravity coupled to chiral multiplets (z α , χ α , h α ) with off-shell auxiliary fields. Starting from the geometric formulation of the superconformal theory with auxiliary fields, we derive the Poincaré counterpart by gauge-fixing the Weyl and chiral symmetry and S-supersymmetry. We show how this transition is ...

The double attractor behavior of induced inflation

We describe an induced inflation, which refers to a class of inflationary models with a generalized non-minimal coupling ξg(ϕ)R and a specific scalar potential. The defining property of these models is that the scalar field takes a vev in the vacuum and thus induces an effective Planck mass. We study this model as a function of the coupling parameter ξ. At large ξ, the predictions ...

Large field inflation and double α-attractors

We consider a broad class of inflationary models that arise naturally in super-gravity. They are defined in terms of a parameter α that determines the curvature and cutoff of these models. As a function of this parameter, we exhibit that the inflationary predictions generically interpolate between two attractor points. At small cutoff α, the resulting inflationary model is of ...

Lobotomy of flux compactifications

Giuseppe Dibitetto 2 Adolfo Guarino 0 Diederik Roest 1 0 Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, Bern University , Sidlerstrasse 5, CH-3012 Bern

Metastable supersymmetry breaking in extended supergravity

Andrea Borghese 0 Diederik Roest 0 0 Centre for Theoretical Physics, University of Groningen , Nijenborgh 4, 9747 AG Groningen, The Netherlands We consider the stability of non-supersymmetric

Exceptional flux compactifications

Giuseppe Dibitetto 0 Adolfo Guarino 0 Diederik Roest 0 0 Centre for Theoretical Physics, University of Groningen , Nijenborgh 4, 9747 AG Groningen, The Netherlands We consider type II (non

How to halve maximal supergravity

Giuseppe Dibitetto 0 Adolfo Guarino 0 Diederik Roest 0 0 Centre for Theoretical Physics, University of Groningen , Nijenborgh 4, 9747 AG Groningen, The Netherlands We work out the truncation from

Holographic superconductors from gauged supergravity

We consider minimal setups arising from different truncations of \( \mathcal{N} = 8 \) five-dimensional SO(6) gauged supergravity to study phase transitions involving spontaneous breaking of any of the U(1) symmetries in U(1) × U(1) × U(1) ⊂ SO(6). These truncations only keep the three relevant vector fields, four complex scalar fields carrying U(1) charges, plus two neutral scalar ...

Charting the landscape of \( \mathcal{N} = 4 \) flux compactifications

Giuseppe Dibitetto 0 Adolfo Guarino 0 Diederik Roest 0 0 Centre for Theoretical Physics, University of Groningen , Nijenborgh 4, 9747 AG Groningen, The Netherlands We analyse the vacuum structure