By Matthias Blau, José Figueroa-O'Farrill, and George Papadopoulos
ESI Special Topics,
March 2004
Citing URL - http://www.esi-topics.com/nhp/2004/march-04-Blau_O'Farrill_Papadopoulos.html
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Matthias Blau, José Figueroa-O'Farrill, and George Papadopoulos answers a few questions about this month's
new hot paper in the field of Physics.
From
•>>March 2004
Field:
Physics
Article Title: Penrose limits, supergravity and brane dynamics
Authors: Blau,
M;Figueroa-O'Farrill,
J;Papadopoulos, G
Journal: CLASS QUANTUM GRAVITY
Volume: 19
Page: 4753-4805
Year: SEP 21 2002
* Abdus Salam ICTP, Trieste, Italy.
* Abdus Salam ICTP, Trieste, Italy.
* Univ Edinburgh, Dept Math & Stat, Edinburgh EH8 9YL, Midlothian, Scotland.
* Univ London Kings Coll, Dept Math, London WC2R 2LS, England.
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Why
do you think your paper is highly cited?
Basically because it is useful. In a previous (and more highly
cited) publication we had employed a method from General Relativity,
the so-called "Penrose limit" procedure, which was not
widely known in the theoretical high-energy physics and string
theory community. Because of a related development in string theory
(in the context of the so-called gravity/gauge theory
correspondence) there rapidly arose a demand for a more detailed
exposition of this method, which, together with many examples, we
provided in this paper. It then became the reference of choice for
many who wanted to learn about the Penrose limit.
Does
it describe a new discovery or new methodology that's useful to
others?
It describes a new approach to investigating the properties of
string theory in curved backgrounds. In addition, it puts on a
firmer footing some properties of a methodology (the Penrose limit)
which has become very useful in the context of the gravity/gauge
theory correspondence.
What
were some of the circumstances that led you to do this research?
It is a natural extension of our discovery (with Chris Hull, now
at Imperial College) of a new maximally supersymmetric solution of
supergravity (now known as the BFHP plane wave) and its explanation
as a Penrose limit. This itself was motivated by the need to
systematize what was known about supersymmetric supergravity
backgrounds. This general project started when GP visited JF in
Edinburgh in February 2001, and they set out to classify maximally
supersymmetric vacua of eleven-dimensional supergravity. The
significance of the Penrose limit in this context was realized in
the autumn of the same year while MB and JF were staying at the
Erwin Schroedinger Institute for Mathematical Physics in Vienna,
Austria, as organizers of a workshop on "Mathematical Aspects
of String Theory." Our paper on Penrose limits then arose out
of our desire to gain a better understanding of these things
ourselves.
Could
you summarize the significance of your paper in layman's terms?
Roughly speaking, the significance of the Penrose limit is the
following: General Relativity, Einstein's theory of gravity,
ascribes the gravitational force to a geometric property of
space-time, namely that it is curved. General curved space-times can
be rather complicated and difficult to understand, while plane waves
are a very special class of curved space-times which are reasonably
easy to understand. The Penrose limit associates to any space-time a
plane wave space-time in a way that retains useful information—basically
about how light rays propagate—about the original space-time. Thus
one can study certain properties of the original space-time by
studying the much simpler Penrose plane wave limit. The significance
of this, in turn, is that, in particular, it suggests a novel way to
understand string theory. String theory has been proposed as a
unified theory of all the fundamental forces of nature. However,
comparatively little is known about it in non-trivial curved
space-times like those describing the Big Bang or Black Holes. This
led us to also propose a systematic method, based on the Penrose
limit procedure, to investigate the properties of string theory is
such a setting .
Dr Jose Miguel Figueroa-O'Farrill
School of Mathematics
University of Edinburgh
Edinburgh, Scotland, UK
Professor Matthias Blau
Institut de Physique
Université de Neuchâtel
Neuchâtel, Switzerland
Dr. George Papadopoulos
Department of Mathematics
King's College London
London, UK
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ESI Special Topics,
March 2004
Citing URL - http://www.esi-topics.com/nhp/2004/march-04-Blau_O'Farrill_Papadopoulos.html
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