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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
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Six-Dimensional Superconformal Theories and their Compactifications from Type IIA Supergravity
Fabio Apruzzi1, Marco Fazzi2, Achilleas Passias3
1Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany.
Physical Review Letters
|August 22, 2015
Summary
This study presents new analytic classes of anti-de Sitter (AdS) supersymmetric solutions in massive IIA supergravity for dimensions d=7, 5, and 4. These solutions, including those with D6/O6 sources and D8-branes, offer insights into string theory dualities.
Area of Science:
- String Theory
- Supergravity
- Mathematical Physics
Background:
- Supersymmetric solutions in anti-de Sitter (AdS) space are crucial for understanding dualities in quantum field theory.
- Massive IIA supergravity provides a framework for studying these solutions, particularly in lower dimensions.
Purpose of the Study:
- To analytically construct and classify infinite families of supersymmetric solutions in massive IIA supergravity for d=7, 5, and 4.
- To explore the relationships between different dimensional solutions via universal maps.
- To investigate the potential dualities and properties of these solutions, including sources and branes.
Main Methods:
- Derivation of analytic solutions in massive IIA supergravity.
- Application of universal mapping techniques to relate solutions across different dimensions.
- Analysis of localized sources (D6, O6) and D8-branes within the solutions.
Main Results:
- Identification of three analytic classes of AdS supersymmetric solutions for d=7, 5, and 4.
- Demonstration of universal maps relating AdS(7) solutions to AdS(5) solutions involving Riemann surfaces.
- Conjectural duality of the AdS(7) case to an NS5-D6-D8 system.
- Computation of degrees of freedom for unknown field theories in 3 and 4 dimensions.
- Discovery of numerical attractor generalizations for AdS(4) solutions.
Conclusions:
- The study provides a systematic analytic approach to generating supersymmetric AdS solutions in massive IIA supergravity.
- The identified maps and dualities offer new avenues for exploring string theory and its holographic principles.
- The AdS(4) attractor generalizations hold promise for applications in flux compactification.
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