HOLOGRAPHIC DUALITY · Gauge theories, cosmology and holography
FP6 — Marie Curie Actions (Human Resources and Mobility)
- Duration
- 2006-11-01 → 2008-10-31
- EU contribution
- €153,682
- Participants
- 1
- Scheme
- EIF
Lines connect the coordinator with its partners.
Results in brief
Final Activity Report Summary - HOLOGRAPHIC DUALITY (Gauge theories, cosmology and holography)
The objectives of the research program were divided in two parts. The first part focussed on the construction of a realistic holographic gravitational dual theory for the strong interactions, namely QCD. The main tool for this investigation is the AdS/CFT duality that naturally works in the framework of 10 dimensional critical string theory. The main problem that we planned to address was how to eliminate the effects of the unrealistic extra 5 dimensions in the gravitational dual backgrounds (the gravitational dual of a 4D field theory is naturally 5 dimensional: 4 dimensions for Minkowski space + 1 dimension for the energy scale), in particular the effects of the Kaluza-Klein modes. Our proposal to attack this problem was two-fold: I-1) To study the effects of the Kaluza-Klein modes by using the so-called gamma-deformation technique, and search for universal quantities, invariant under the gamma transformations. I-2) To directly construct a 5D dual gravity theory in 5D non-critical string theory. The second part of the research proposal concerned the study of gravitational singularities in space-time from the point of view of holography. Our proposed method of study was the construction of toy models for two-dimensional cosmology and their investigation in the dual picture, using 2D matrix models. Instead of closely following this strategy, the project preferred to study the problem of gravitational singularities, in particular the black-hole singularities using the original formulation of the AdS/CFT correspondence, namely the duality between the 4D maximally super-symmetric gauge theory and IIB string theory on the AdS5 x S5 background. In particular, the project mapped the structure of the extreme curvature limit of the AdS5 black holes, to a 6D matrix model that stem from the 6 scalar fields in the dual gauge theory.
Data: CORDIS, © European Union
Project objective
Investigation of confining gauge theories by employing recently developed techniques in the gauge-gravity duality constitutes the first part of this proposal.The technique of gamma-deformations in the context of gauge-gravity duality (Lunin an Maldacena) provides a new tool to distinguish and examine the universal aspects of non-perturbative gauge dynamics in the gravity duals (Gursoy and Nunez).This fact raises hopes to understand the non-perturbative gauge dynamics by studying supergravity in these new backgrounds. Another line of approach that is recently initiated by Klebanov and Maldacena is to study the gauge-gravity duality directly in the five-dimensional non-critical string theory.The idea here is to determine a 5D gravitational background dual to a confining gauge theory by imposing desired properties of the gauge theory such as asymptotic freedom. Then the gravitational theory can be analyzed in the supergravity approximation.The second part of the proposal utilizes holography in the opposite direction: Investigation of fundamental cosmological problems by constructing the gauge theory duals of toy cosmological models. A simple example is to employ the holography in the context of two-dimensional non-critical string theory and c=1 matrix models.The two-dimensional string background with the Euclidean time compactified and orbifolded provides the simplest example of a big-bang big-crunch toy universe after analytic continuation into Lorentzian time. A distinguishing aspect of this model is that the exact solvability of the matrix model helps one construct the full partition function of the string theory.Hence one is able to formulate and investigate in a precise manner the fundamental questions such as the initial wave-function of the universe, the transition amplitude from big-bang to big-crunch and resolution of space-like singularities. The ultimate aim is to gain insights that help us understand more general and more realistic situations.
Original text from CORDIS.
Participants
- CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE · PARISCoordinatorFrance
Links
Data: CORDIS, © European Union