A bstract We present a method for the first principles calculation of tachyon one-point amplitudes in (2 , 2 p + 1) minimal Liouville gravity defined on torus. The is based higher equations motion CFT. These were earlier successfully applied analytic calculations spherical topology. show that this approach allows to reduce moduli integrals entering definition torus certain boundary contribution...

Motivated by the study of big crunch singularities in asymptotically AdS4 spacetimes, we consider a marginal triple trace deformation of ABJM theory. The deformation corresponds to adding a potential which is unbounded below. In a ’t Hooft large N limit, the beta function for the triple trace deformation vanishes, which is consistent with the near-boundary behavior of the bulk fields. At the ne...

Multiple scattering becomes a problem close to the critical point, especially in systems with a large difference in the refractive index and large correlation length amplitudes as for the case of polystyrene/cyclohexane. In this work we demonstrate the application of the one-beam cross correlation technique and show that in the reduced temperature range of t red51.66310 25 – 0.03 the multiple s...

We compare two algorithms for the numerical estimation of the correlation dimension from a finite set of vectors: the "classical" algorithm of Grassberger and Procaccia (GPA) and the recently proposed algorithm of Judd (JA). Data set size requirements and their relations to systematic and statistical errors of the estimates are investigated. It is demonstrated that correlation dimensions of the...