Gauge/Gravity Duality and Zero Temperature Phase Transitions Quiz

Readers interested primarily in applications may omit chapters 7, 8 and the second half of chapter 9 (RG flows within IIB supergravity) at first reading.

Readers interested primarily in foundations are encouraged to concentrate on all chapters of part II, including chapter 11 on finite temperature.

Sections denoted by an asterisk (*) provide material at a more advanced level and are not a prerequisite for reading the subsequent sections and chapters.

<p>Chapter 12 introduces the linear response formalism and hydrodynamics and explains how both are implemented in gauge/gravity duality.</p> Signup and view all the answers

<p>Chapter 15 introduces applications of gauge/gravity duality to systems of relevance in condensed matter physics.</p> Signup and view all the answers

<p>The three appendices in the book are on Grassmann numbers (appendix A), on Lie algebras, superalgebras and their representations (appendix B), and an appendix summarising our conventions (appendix C).</p> Signup and view all the answers

<p>The holographic principle is a concept in string theory that suggests that a quantum field theory at the boundary can be equivalent to a theory involving gravity in the bulk.</p> Signup and view all the answers

<p>Gauge/gravity duality is a precise realisation of the holographic principle, where a quantum field theory at the boundary is conjectured to be equivalent to a theory involving gravity in the bulk.</p> Signup and view all the answers

<p>Dualities in string theory refer to different equivalent formulations of a physical theory, which are considered to be dual to each other.</p> Signup and view all the answers

<p>Dualities are useful because they allow for easier calculations of physical processes in one formulation, which may be difficult to calculate in another.</p> Signup and view all the answers

<p>The AdS/CFT correspondence is a specific example of gauge/gravity duality that relates Anti-de Sitter space (AdS) to conformal field theory (CFT), and has been extensively studied.</p> Signup and view all the answers

<p>Gauge/gravity duality has contributed to new descriptions of strongly coupled systems, particularly in areas such as transport processes and condensed matter physics.</p> Signup and view all the answers

<p>The main focus of the book is to introduce the central ideas and concepts of gauge/gravity duality.</p> Signup and view all the answers

<p>The book is structured in three parts: prerequisites, establishment of the duality, and applications.</p> Signup and view all the answers

<p>Part I covers the prerequisites for explaining the duality, including elements of gauge theory, conformal symmetry, supersymmetry, geometry and gravity of Anti-de Sitter spaces, and an overview of relevant string theory topics.</p> Signup and view all the answers

<p>Part II is devoted to establishing the duality. It explains the motivation for the AdS/CFT correspondence, states the associated conjecture, gives examples of evidence supporting the conjecture, discusses generalizations to non-conformal examples, introduces holographic renormalization group flows, and explores the correspondence at finite temperature.</p> Signup and view all the answers

<p>Some applications presented in part III include holographic hydrodynamics, applications to low-energy QCD-like theories, and applications to systems in condensed matter physics such as quantum phase transitions, superfluids, superconductors, and Fermi surfaces.</p> Signup and view all the answers

<p>Chapter 5 motivates the AdS/CFT correspondence within string theory, considering the near-horizon limit of D3-branes. It establishes the field-operator map and introduces the concept of holographic renormalization. It also explains how to realize Wilson loops in AdS/CFT.</p> Signup and view all the answers

<p>Gauge/gravity duality is a new development within theoretical physics that combines string theory, quantum field theory, and general relativity. It provides new links between quantum theory and gravity based on string theory.</p> Signup and view all the answers

<p>Gauge/gravity duality is of fundamental importance as it provides new insights about the structure of string theory and quantum gravity. It also has applications in various areas of physics.</p> Signup and view all the answers

<p>Gauge/gravity duality maps strongly coupled quantum field theories to more tractable classical gravity theories.</p> Signup and view all the answers

<p>The holographic principle states that the entire information content of a quantum gravity theory in a given volume can be encoded in an effective theory at the boundary surface of this volume.</p> Signup and view all the answers

<p>The theory describing the boundary degrees of freedom encodes all information about the bulk degrees of freedom and their dynamics. Vice versa, it encodes information about the bulk dynamics.</p> Signup and view all the answers

<p>No, in many cases, the precise form of the boundary theory is unknown, limiting its use in describing the bulk dynamics.</p> Signup and view all the answers

<p>Yegor Korovin, Mario Flory, Alexander Gussmann, Tehseen Rug</p> Signup and view all the answers

<p>Oliver Schlotterer</p> Signup and view all the answers

<p>Frank Dohrmann, Benedikt Herwerth, Patrick Kerner, Felix Rust, Jonathan Shock, Migael Strydom</p> Signup and view all the answers

<p>Biagio Lucini</p> Signup and view all the answers

<p>Nick Evans, Livia Ferro, Mario Flory, Felix Karbstein, Andreas Karch, Karl Landsteiner, Javier Lizana, Julian Leiber, Johanna Mader, Sebastian Möckel, Andy O’Bannon, Hugh Osborn, Da-Wei Pang, Tehseen Rug, Charlotte Sleight, Stephan Steinfurt, Ann-Kathrin Straub, Migael Strydom, Hansjörg Zeller, Matthias Kaminski, Steffen Klug, René Meyer, Birger Böning, Markus Gardemann, Sebastian Grieninger, Stefan Lippold, Attila Lüttmerding, Tim Nitzsche</p> Signup and view all the answers

<p>Charlotte Sleight, Migael Strydom</p> Signup and view all the answers