Universal behaviour, transients and attractors in supersymmetric Yang-Mills plasma

Numerical simulations of expanding plasma based on the AdS/CFT correspondence as well as kinetic theory and hydrodynamic models strongly suggest that some observables exhibit universal behaviour even when the system is not close to local equilibrium. This leading behaviour is expected to be corrected by transient, exponentially decaying contributions which carry information about the initial state. Focusing on late times, when the system is already in the hydrodynamic regime, we analyse numerical solutions describing expanding plasma of strongly coupled N=4 supersymmetric Yang-Mills theory and identify these transient effects, matching them in a quantitative way to leading trans-series corrections corresponding to least-damped quasinormal modes of AdS black branes. In the process we offer additional evidence supporting the recent identification of the Borel sum of the hydrodynamic gradient expansion with the far-from-equilibrium attractor in this system.Comment: Introduction improved, additional reference

On the hydrodynamic attractor of Yang-Mills plasma

There is mounting evidence suggesting that relativistic hydrodynamics becomes relevant for the physics of quark-gluon plasma as the result of nonhydrodynamic modes decaying to an attractor apparent even when the system is far from local equilibrium. Here we determine this attractor for Bjorken flow in N=4 supersymmetric Yang-Mills theory using Borel summation of the gradient expansion of the expectation value of the energy momentum tensor. By comparing the result to numerical simulations of the flow based on the AdS/CFT correspondence we show that it provides an accurate and unambiguous approximation of the hydrodynamic attractor in this system. This development has important implications for the formulation of effective theories of hydrodynamics.Comment: 6 pages, 4 figures. v2: many small improvements. v3: introduction rephrased to emphasise key point

Generalized string compactifications with spontaneously broken supersymmetry

The Narain lattice construction of string compactifications is generalized to include spontaneously broken supersymmetry. Consistency conditions from modular invariance and Lorentz symmetry are solved in full generality. This framework incorporates models where supersymmetry breaking is inversely proportional to the radii of compact dimensions. The enhanced lattice description, however, might allow for models with a different geometrical or even non-geometrical interpretation.Comment: 15 pages, LaTeX, no figure

From Erdos-Renyi graphs to Linial-Meshulam complexes via the multineighbor construction

The $m$-neighbor complex of a graph is the simplicial complex in which faces are sets of vertices with at least $m$ common neighbors. We consider these complexes for Erdos-Renyi random graphs and find that for certain explicit families of parameters the resulting complexes are with high probability $(t-1)$-dimensional with all $(t-2)$-faces and each $(t-1)$-face present with a fixed probability. Unlike the Linial-Meshulam measure on the same complexes there can be correlations between pairs of $(t-1)$-faces but we conjecture that the two measures converge in total variation for certain parameter sequences.Comment: 29 pages, 20 figure

Twórczość gitarowa Józefa Świdra : pogłębiona analiza aspektu wykonawstwa instrumentalnego

The work is devoted to the analysis of the guitar works composed by Józef Świder, a famous Polish composer. Within the analytical area, apart from the formal analysis conducted at the elementary level, a specialist aspect of instrumental performance was given particular emphasis. It was the aim of the author of this work as an active artist giving concerts. The work comprises over 100 note examples presenting the analyses of the performance variants of important fragments of the progress of the music score text of each composition, and analyses their tonal effects. It recommends effective variants — practised by the author of the work during concerts and studio recordings. The author of the work was the first performer of the most important (according to the composer) guitar compositions: Concerto per chitarra e quartette (quintette) d’archi and Śpiewy mszalne [Mass songs]. All of the compositions were released in the CD format entitled Tomasz Spaliński gra utwory gitarowe Józefa Świdra [Tomasz Spaliński plays Józef Świder's guitar compositions], published in 2004 by The Institute of Music at the Artistic Department of the University of Silesia. During the preparation stage preceding the recording of the material, the author consulted the composer many times, receiving a wide range of valuable information concerning interpretation and tone of his works. The publication also involves pieces of important biographical information concerning the composer, starting from the early years of his youth to the present day, and a recording of the interview with Józef Świder conducted in July 2005, as well as a catalogue of his works of art

Trzy refleksy śląskie: "Rodowód", "Etos", "Przyszłość"

"Definiując formę udziału w projekcie, uznałem, że umiarkowanie oryginalne pod względem koncepcji zasadniczej będzie w mojej kompozycji nawiązanie do muzyki ludowej Śląska lub bezpośrednie jej wykorzystanie w celu wykreowania kolejnej adaptacji, awangardowej mutacji czy kompilacji cytatów powszechnie znanych melodii. Stwierdziłem ponadto, iż w moim przypadku posłużenie się wyłącznie materią dźwiękową zawęża możliwość pełnego wyrażenia efektów przemyśleń natury filozoficznej, powstałych w związku z tematem przewodnim projektu." [...] (fragm.

Some half-BPS solutions of M-theory

It was recently shown that half BPS-solutions of M-theory can be expressed in terms of a single function satisfying the 3-d continuum Toda equation. In this note half-BPS solutions corresponding to separable solutions of the Toda equations are examined.Comment: Typos fixed, reference adde

Branes and Fluxes in D=5 Calabi-Yau Compactifications of M-Theory

We discuss Poincare three-brane solutions in D=5 M-Theory compactifications on Calabi-Yau (CY) threefolds with G-fluxes. We show that the vector moduli freeze at an attractor point. In the case with background flux only, the spacetime geometry contains a zero volume singularity with the three-brane and the CY space shrinking simultaneously to a point. This problem can be avoided by including explicit three-brane sources. We consider two cases in detail: a single brane and, when the transverse dimension is compactified on a circle, a pair of branes with opposite tensions.Comment: 14 pages, final versio