2,559 research outputs found
Higher derivative terms including the Ramond-Ramond five-form
Superfield methods can be used to determine the precise way the self-dual
five-form couples to the metric in the first non-trivial corrections
to type IIB supergravity. We explicitly compute the exact tensor structure of
these terms. This requires extensive use of computing algorithms to reduce the
complicated expressions that appear to a surprisingly simple form. Along the
way we show a new method of computing Schouten identities. With this result we
clarify under which conditions one may neglect the five-form higher derivative
terms. We comment on corrections to the thermodynamics of charged black holes.Comment: v2 - Numerical typos fixed, small text changes
JuliBootS: a hands-on guide to the conformal bootstrap
We introduce {\tt JuliBootS}, a package for numerical conformal bootstrap
computations coded in {\tt Julia}. The centre-piece of {\tt JuliBootS} is an
implementation of Dantzig's simplex method capable of handling arbitrary
precision linear programming problems with continuous search spaces. Current
supported features include conformal dimension bounds, OPE bounds, and
bootstrap with or without global symmetries. The code is trivially
parallelizable on one or multiple machines. We exemplify usage extensively with
several real-world applications. In passing we give a pedagogical introduction
to the numerical bootstrap methods.Comment: 29 page
Futures of work and skills: some foresight exercises in Europe and USA
The Knowledge-based society brought a new way of living and working. The increasing decline of work in primary sector and traditional industries, related with the significant increase of employment in the service sector and in the knowledge work, changed the way companies and individuals establish their relations, the way work and life is organised. These changes are usual and fast and so the feeling of insecurity and unpredictability become more and more sharp. In this context, foresight exercises are necessary tools helping in the identification of the key variables and main trends of evolution. This report will present some foresight studies about work and skills in Europe and USA, in order to contribute to think about possible evolutions and trends.Foresight, Work, Skills, Future
The ABC (in any D) of Logarithmic CFT
Logarithmic conformal field theories have a vast range of applications, from
critical percolation to systems with quenched disorder. In this paper we
thoroughly examine the structure of these theories based on their symmetry
properties. Our analysis is model-independent and holds for any spacetime
dimension. Our results include a determination of the general form of
correlation functions and conformal block decompositions, clearing the path for
future bootstrap applications. Several examples are discussed in detail,
including logarithmic generalized free fields, holographic models,
self-avoiding random walks and critical percolation.Comment: 55 pages + appendice
Bootstrapping the 3d Ising twist defect
Recent numerical results point to the existence of a conformally invariant
twist defect in the critical 3d Ising model. In this note we show that this
fact is supported by both epsilon expansion and conformal bootstrap
calculations. We find that our results are in good agreement with the numerical
data. We also make new predictions for operator dimensions and OPE coefficients
from the bootstrap approach. In the process we derive universal bounds on
one-dimensional conformal field theories and conformal line defects.Comment: 24+8 pages, 12 figures, references adde
- …