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New supergravity tools to study strongly coupled physical systems

EU-funded researchers have developed supergravity tools to study the strongly coupled systems in nuclear and condensed matter physics. Project results target advanced understanding of string theory and quantum gravity.
New supergravity tools to study strongly coupled physical systems
Modern theoretical physics has made major steps in addressing long-standing, fundamental questions that seek answers in a single, unified theory – string theory. The anti-de Sitter/conformal field theory (AdS/CFT) correspondence is one of the largest areas of research in string theory. This conjecture, also generally referred to as the gauge-gravity correspondence, states that gravitational theories in (N+1) dimensions can be entirely and completely equivalent to non-gravitational quantum field theories in N dimensions.

Over the last decade, significant effort has been devoted to extending AdS/CFT to addressing quantum field theories close to those used in nuclear physics, high-energy physics and, more recently, condensed matter physics. Despite significant headway, progress has been hampered by lack of appropriate lower-dimensional supergravity theories needed to formulate correspondence in precise terms. For AdS/CFT to have actual predictive power, those supergravity models need to be exactly embeddable into string theory.

Within the EU-funded project APPSG (Holographic applications of supergravity), researchers developed supergravity tools to study the strongly coupled sectors of high-energy and condensed matter systems using the gauge-gravity correspondence.

Consistency in Kaluza-Klein truncation proved instrumental to achieving classification of all lower-dimensional supergravities that can be consistently embedded into string/M-theory. Building on this theory, researchers found new families of gauged supergravities that derive from string theory by studying the string/M-theory truncations on constant-torsion G-structure manifolds. The team extended this classification to the lower-dimensional gauged supergravities that arise from string/M-theory truncation on homogeneous spaces, thereby producing many more new gauged supergravities.

Furthermore, APPSG investigated examples of consistent truncations on non-homogeneous G-structure spaces. Finally, the team addressed the problem of finding a string theory realisation of the recently discovered dyonic gaugings of maximal supergravity.

The AdS/CFT correspondence is an invaluable tool for studying strongly coupled conformal field theories. Project results are an important step towards the goal to achieve full classification of lower-dimensional supergravities that admit a string theory realisation.

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Supergravity, string theory, quantum gravity, AdS/CFT, APPSG
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