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String moduli, the AdS/CFT correspondence and logarithmic conformal field theories

English title String moduli, the AdS/CFT correspondence and logarithmic conformal field theories
Applicant Gaberdiel Matthias
Number 119830
Funding scheme Project funding (Div. I-III)
Research institution Institut für Theoretische Physik ETH Zürich
Institution of higher education ETH Zurich - ETHZ
Main discipline Theoretical Physics
Start/End 01.04.2008 - 31.03.2010
Approved amount 364'174.00
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Keywords (4)

d-branes; conformal field theory; Stringtheory; String theory

Lay Summary (English)

Lead
Lay summary
String theory is currently the most promising candidate for a unifying framework to describe all known interactions. These include, in particular, the so-called standard model of particle physics as well as Einstein's theory of gravity, general relativity. The basic idea of string theory is that the fundamental objects in terms of which the theory is formulated are one-dimensional strings (rather than point-like entities). The different elementary particles correspond to the different ways in which the string can vibrate in the ambient space-time. On the other hand, Einstein's equations of general relativity appear as consistency conditions.

As the string propagates through space-time it sweeps out a two-dimensional surface, the world-sheet. From the point of view of this world-sheet, the vibrations of the string can be described in terms of a two-dimensional conformal field theory. It is one of the aims of this project to study various aspects of conformal field theories, in particular, the dependence of these theories on free parameters (moduli). Another topic will be the analysis of so-called logarithmic conformal field theories that also play an important role in statistical physics.

One recent breakthrough in string theory concerns the so-called AdS/CFT correspondence. It proposes that certain string theory models (where the target space is an anti-de-Sitter (AdS) space) are in fact equivalent to conventional quantum field theories. It is another aim of the project to make precision tests of this proposal. In particular, we shall consider situations where the corresponding quantum field theory is conformally invariant, and hence can be analysed using conformal field theory methods.
Direct link to Lay Summary Last update: 21.02.2013

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Associated projects

Number Title Start Funding scheme
129542 The AdS/CFT correspondence, pure spinors and logarithmic conformal field theories 01.04.2010 Project funding (Div. I-III)
112192 Supersymmetric D-Branes, integrability and time dependence in string theory 01.04.2006 Project funding (Div. I-III)

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