We construct supergravity plus branes solutions, which we argue to be related 4d $\mathcal{N}=1$ SQCD with a quartic superpotential. The geometries depend on the ratio ${N}_{f}/{N}_{c}$ can kept of order one, present good singularity at origin, and are weakly curved elsewhere. support our field theory interpretation by studying variety features like $R$-symmetry breaking, instantons, Seiberg duality, Wilson loops pair creation, running couplings, domain walls. In second part this paper,...

Within the AdS/CFT correspondence, we review studies of field theories with a large number adjoint and fundamental fields, in Veneziano limit. We concentrate set‐ups where fundamentals are introduced by smeared set D‐branes. make emphasis on general ideas then subsequent chapters that can be read independently describe particular considerations various different models. Some new material is presented along sections.

A bstract Spectra of stochastic gravitational waves (GW) generated in cosmological first-order phase transitions are computed within strongly correlated theories with a dual holographic description. The mostly used as models dark sectors. In particular, we consider the so-called Witten-Sakai-Sugimoto model, SU( N ) gauge theory coupled to different matter fields both fundamental and adjoint representations. model has well-known top-down description which allows us perform reliable...

We analyze the time evolution of a system two coexisting languages (Castillian Spanish and Galician, both spoken in northwest Spain) framework model given by Abrams Strogatz [Nature 424, 900 (2003)]. It is shown that, contrary to model's initial prediction, stable bilingual situation possible if competition are similar enough. Similarity described with simple parameter, whose value can be estimated from fits data.

In this paper we make further refinements to the duality proposed between $N=1$ SQCD and certain string (supergravity plus branes) backgrounds, working in regime of comparable large number colors flavors. Using theory solutions, predict different field observables phenomena like Seiberg duality, gauge coupling its running, behavior Wilson 't Hooft loops, anomalous dimensions quark superfields, quartic superpotential continuous discrete anomaly matching. We also give evidence for smooth...

We construct a new, simple phenomenological model along the lines of AdS/QCD. The essential new ingredient is brane-antibrane effective action including open string tachyon proposed by Sen [Phys. Rev. D 68, 066008 (2003).]. Chiral symmetry breaking happens because dynamics. fit large number low-spin meson masses at 10%--15% level. only free parameters involved in fits correspond to overall QCD scale and quark masses. Several aspects previous models are qualitatively improved.

Using the holographic correspondence as a tool, we study dynamics of first-order phase transitions in strongly coupled gauge theories at finite temperature. Considering an evolution from large to small temperature phase, compute nucleation rate bubbles true vacuum metastable phase. For this purpose, find relevant configurations (bounces) interpolating between vacua and related effective actions. We start by revisiting compact Randall-Sundrum model high renormalization, kinetic term bounce...

A simple holographic model is presented and analyzed that describes chiral symmetry breaking the physics of meson sector in QCD. This a bottom-up incorporates string theory ingredients like tachyon condensation which expected to be main manifestation context. As for glue Kuperstein-Sonnenschein background used. The structure flavor vacuum quenched approximation. Chiral shown at zero temperature. Above deconfinement transition restored. complete renormalization performed condensate calculated...

We study the static potential between external quark-antiquark pairs in a strongly coupled gauge theory with large number of colors and massive dynamical flavors, using dual string description. When constituent mass quarks is set below certain critical value, we find first-order phase transition linear Coulomb-like regime. Above two phases are smoothly connected. also dependence on parameters separation at which configuration decays into specific static-dynamical mesons.

We study the cubic- (focusing-)quintic (defocusing) nonlinear Schrödinger equation in two transverse dimensions. discuss a family of stationary traveling waves, including rarefaction pulses and vortex-antivortex pairs, background critical amplitude. show that these can be generated inside flattop soliton when smaller bright collides with it. The fate evolution strongly depends on relative phase solitons. Among several possibilities, we find dark pulse reemerge as soliton.

We analyze theoretically the Schr\"odinger-Poisson equation in two transverse dimensions presence of a Kerr term. The model describes nonlinear propagation optical beams thermo-optical media and can be regarded as an analog system for self-gravitating self-interacting wave. compute numerically family radially symmetric ground-state bright stationary solutions focusing defocusing local nonlinearity, keeping both cases nonlocal nonlinearity. also excited states oscillations induced by fixing...

By performing numerical simulations, we discuss the collisional dynamics of stable solitary waves in Schrodinger-Poisson equation. In framework a model which part or all dark matter is Bose-Einstein condensate ultralight axions, show that these can naturally account for relative displacement between and ordinary galactic cluster Abell 3827, whose recent observation first empirical evidence interactions beyond gravity. The essential assumption existence solitonic cores kiloparsec scale. For...

We numerically investigate spherically symmetric collapses in the Gross-Pitaevskii equation with attractive nonlinearity a harmonic potential. Even below threshold for direct collapse, wave function bounces off from origin and may eventually become singular after number of oscilla- tions trapping This is reminiscent evolution Einstein gravity sourced by scalar field Anti-de Sitter space where collapse corresponds to black hole formation. carefully examine long time continuous families...

We present a new class of string theory solutions which are conjectured to be dual the N=1 conifold by Klebanov and Witten coupled non chiral massive dynamical flavors. These introduced, in Veneziano limit, means suitably embedded smeared D7-branes whose full backreaction on background is taken into account. The used study chromoelectric charge screening effects due flavors perturbative regime gauge theories.