Modified born-infeld-dilaton-axion coupling in supersymmetry

We propose the supersymmetric extension of the modified Born–Infeld-axion-dilaton non-linear electrodynamics that has confined static abelian solutions used for describing the electromagnetic confinement in the presence of axion and dilaton fields, as well as charged matter. The supersymmetric extension also has the non-trivial scalar potential that implies the upper bounds on the matter fields

Minimal Starobinsky supergravity coupled to a dilaton-axion superfield

The minimal Starobinsky supergravity with inflaton (scalaron) and goldstino in a massive vector supermultiplet is coupled to the dilaton-axion chiral superfield with the no-scale Kahler potential and a superpotential. The Kachru-Kallosh-Linde-Trivedi-type superpotential with a constant term is used to stabilize dilaton and axion during inflation, but it is shown to lead to an instability. The instability is cured by adding the alternative Fayet-Iliopoulos (FI) term that does not lead to the gauged R symmetry. Other stabilization mechanisms, based on the Wess-Zumino-type superpotential, are also studied in the presence of the FI term. A possible connection to the D3-brane models is briefly discussed too

On the absence of shock waves and vacuum birefringence in Born-Infeld electrodynamics

We study the interaction of two counter-propagating electromagnetic waves in vacuum in the Born-Infeld electrodynamics. First we investigate the Born case for linearly polarized beams, ${\bf E}\cdot{\bf B}=0$, i. e. $\mathfrak{G}^2=0$ (crossed field configuration), which is identical for Born-Infeld and Born electrodynamics; subsequently we study the general Born-Infeld case for beams which are nonlinearly polarized, $\mathfrak{G}^2\neq0$. In both cases, we show that the nonlinear field equations decouple using self-similar solutions and investigate the shock wave formation. We show that the only nonlinear solutions are exceptional travelling wave solutions which propagate with constant speed and which do not turn into shocks. In the Born case, we naturally obtain exceptional wave solutions for counter-propagating (real photon-photon scattering) and for a co-propagating (non-interacting) beam orientation we investigate their direction of propagation. In the Born-Infeld case, we have additionally chosen the solutions which have constant phase velocities to match the limits of phase velocities of the background field in the Born case. We obtain two types of exceptional wave solutions, then we numerically analyze which phase velocities correspond to the counter- or co-propagating beams and subsequently we determine the direction of propagation of the exceptional waves. We discuss the cross-section of the process to be measured together with our proposed direct detection of the photon-photon scattering, \cite{KadlecovaKornBulanov2019,KadlecovaMine2019}.Comment: 7 figures, 32 pages. arXiv admin note: text overlap with arXiv:2103.0357