Fermi surfaces and gaugegravity duality harvard sachdev. Polchinski, introduction to gaugegravity duality, arxiv. It is an example of a gauge gravity duality and is now understood to be a special case of the adscft correspondence. Gaugegravity duality and condensed matter physics pavel kovtun university of victoria workshop on uidgravity correspondence lmu munich, september 2009 pavel kovtun university of victoria adscft and condensed matter physics munich, september 5, 2009 1 44. Fermi surfaces and gauge gravity duality harvard sachdev. The adscft correspondence is often described as a holographic duality because this relationship between the two theories is similar to the relationship between a threedimensional object and its image as a hologram. The original derivation of gauge gravity duality was driven by problems of black hole quantum.
Large n field theories, string theory and gravity, phys. I am going to rst motivate the duality in a somewhat unconventional way, but i like it because it connects the two sides, gauge theory and gravity, without going directly through string theory as do many of the applications, and it allows us to introduce many ideas that will be important later on. Dirichletbranes carry the rr charges required by duality polchinski. These are notes for a ten week course, with the goal of presenting an introduction to the worldsheet approach to string theory which is su ciently complete to prepare you for 230b, which will focus on gaugegravity duality. Introduction to string theory chapter 0 eth zurich, hs prof. Polchinski, new connections between string theories, mod. Horowitz and polchinski, gaugegravity duality, grqc0602037 general, philosophical, basic ideas. The papers should be 510 pages long if you need more space, see me, and you should plan to talk for about 30 minutes.
Polchinskis contributions to dbrane physics were a primary trigger of the 2nd superstring revolution and the physics of holographic gaugegravity dualities. Introduction to gauge string duality dr andrei starinets references updated. Polchinski, \introduction to gaugegravity duality, arxiv. Gauge theories, which describe the particle interactions, are well understood, while quantum gravity leads to many puzzles. Polchinski conjectures that \any cft that has a largenexpansion, and in which all singletrace operators of spin greater than two have parametrically large dimensions, has a local bulk dual 1. Introduction to gaugegravity duality physics learning laboratories. Introduction to gauge gravity duality lectures at tasi, june 17, 2010 joseph polchinski1 kavli institute for theoretical physics university of california santa barbara, ca 931064030 abstract these lectures are an introduction to gauge gravity duality, presented at tasi 2010. Many examples exist of boundary gauge theories with such a gravity description. For a time it seemed that maldacenas discovery of gaugegravity duality had resolved the issue, but recent developments have opened many new questions. Introduction to gaugegravity duality, lecture 4 of 5 joe. Topics in gaugegravity duality oxford physics university of oxford.
Applications of the gaugegravity duality inspire hep. Some literature horowitz and polchinski, gaugegravity duality, grqc0602037 general, philosophical, basic ideas klebanovs tasi lectures introduction to adscft correspondence. For instance, in the threedimensional example illustrated above, the boundary is a twodimensional surface. This book is the first textbook on this important topic, enabling graduate students and researchers in particle and condensed matter physics to get acquainted with the subject. Horowitz and polchinski, gauge gravity duality, grqc0602037 general, philosophical, basic ideas klebanovs tasi lectures introduction to adscft correspondence, hepth00099 early and very readable introduction. Submitted on 10 feb 2006 v1, last revised 18 apr 2006 this version, v3. In the last twenty years, gaugegravity duality, and associated holographic ideas, have come to dominate fundamental physics. In theoretical physics, the antide sitterconformal field theory correspondence, sometimes called maldacena duality or gauge gravity duality, is a conjectured relationship between two kinds of physical theories.
We discuss the evidence for the duality, its lessons for gravitational physics, generalizations, and open questions. Jm, holographic duality with a view toward manybody physics, 0909. Introduction to gauge string duality dr andrei starinets references books on gauge string duality. Firstly, a brief exposition of t hoofts ideas on gauge string duality will be presented as a hint to what may such a duality look like, and how it may be formulated. Comparing dualities and gauge symmetries philsciarchive. Gaugegravity duality and the black hole interior donald marolf department of physics, university of california, santa barbara, california 931069530, usa joseph polchinski kavli institute for theoretical physics, university of california, santa barbara, california 931064030, usa received 18 july 20. Strange metal transport realized by gaugegravity duality. Homework 1, phys 230a, string theory, polchinski due. Introduction to gaugestring duality dr andrei starinets references books on gaugestring duality. Gaugegravity correspondence in accelerating universe. But we show that in gauge gravity duality, each of a certain class of gauge symmetries in the gravity bulk theory, viz. Lecture at the 2010 tasi summer school on string theory and its applications. General covariance reduces now to the requirement that we have to allow in an.
Gary horowitz, joseph polchinski, gaugegravity duality, grqc0602037. Gaugegravity duality 3 model provides a simple solvable illustration of the problem. Additionally, gauge groups of the gravity theory match global symmetries of the. May 22, 2016 lecture at the 2010 tasi summer school on string theory and its applications. We will argue that this is so only when the gauge theory in the duality correspondence is conformal. It goes without saying that you should work through the intermediate steps in the notes wherever needed, for example in deriving the mode expansions 2. Gaugegravity duality and strongly coupled light f ront dynamics guy f. Andrew strominger and cumrun vafa calculated the entropy of certain configurations of dbranes and found agreement with the semiclassical answer for extreme charged black holes. Topics in gaugegravity duality university of oxford. Pdf gaugegravity duality and the black hole interior. Introduction to gaugegravity duality, lecture 4 of 5 joe polchinski.
Polchinski, introduction togauge gravity duality, arxiv. Pdf we present a further argument that typical black holes with field theory duals have firewalls at the horizon. But we show that in gaugegravity duality, each of a certain class of gauge symmetries in the gravitybulk theory, viz. It combines many interesting topics of quantum eld theory in two and higher dimensions. Gauge gravity duality and condensed matter physics pavel kovtun university of victoria workshop on uid gravity correspondence lmu munich, september 2009 pavel kovtun university of victoria adscft and condensed matter physics munich, september 5, 2009 1 44. Supersymmetric theories however have a natural stability property, because the hamiltonian is the square of a hermitean supercharge and so bounded below. We discuss the evidence for the duality, its lessons for.
But how complete is it sharp dictionary for boundary observables, less sharp in the bulk. Gaugegravity duality and its applications institute for nuclear theory. These are notes for a ten week course, with the goal of presenting an introduction to the worldsheet approach to string theory which is su ciently complete to prepare you for 230b, which will focus on gauge gravity duality. Introduction to gaugestring duality dr andrei starinets references updated. Gaugegravity duality and its applications harvard talk online. Hence the more general name gaugegravity duality, though i will use the common phrase adscft correspondence when referring to specific models.
Certainly one of the major frontiers in gaugegravity duality, though. Gaugegravity duality is a powerful tool for studying quantum gravity. Topics in gaugegravity duality graduate lecture course university of oxford trinity term 2012 room 501, dwb, department of physics mondays, 14. Eric gimon, joseph polchinski, consistency conditions for orientifolds and dmanifolds, phys. Topics for reports in gaugegravity duality phys 230b spring 2012 each student will write a report on a topic in string theory and give a presentation to the class. In the last twenty years, gaugegravity duality, and associated holographic. These lectures are an introduction to gaugegravity duality, presented at tasi 2010. Gaugegravity duality at finite n badr awad elseid mohammed a dissertation submitted to the faculty of science, university of the witwatersrand, johannesburg, in ful. Dec 27, 2014 introduction to gaugegravity duality, lecture 4 of 5 joe polchinski. This thesis investigates applications of the gaugegravity duality to strongly coupled quantum. The black hole information paradox, alive and kicking joseph polchinski, ph.
Gauge gravity duality and its applications harvard talk online. On one side are antide sitter spaces ads which are used in theories of quantum gravity, formulated in terms of string theory or mtheory. A well defined, uv complete, backgroundindependent description of a gravitational theory gravitational theory is described by an ordinary conformal field theory. Other examples of gaugegravity relations that i will discuss, include verlinde. Joe polchinski introduction to gaugegravity duality. University of oxford department of physics oxford master course in mathematical and theoretical physics introduction to gauge string duality dr andrei starinets. Tasi lectures on applications of gaugegravity duality. After codiscovering dbranes in 1989, his 1995 work conjectured and partially demonstrated the equivalence between dbranes and black pbranes.
An important fact is that the bulk gravitational newtons constant g n is inversely related to the rank n of the boundary gauge group e. But in fact equivalent to a distinct weaklycoupled description. Gary horowitz, joseph polchinski, gaugegravity duality grqc0602037 joseph polchinski, introduction to gaugegravity duality arxiv. Aug 27, 2010 many examples exist of boundary gauge theories with such a gravity description. Horowitz, joseph polchinski submitted on 10 feb 2006, last revised 18 apr 2006 this version, v3 abstract.
Gaugegravity duality presents new links between quantum theory and gravity, and provides new tools to solve problems in many areas of theoretical physics. Polchinski, \introduction to gauge gravity duality, arxiv. Topics in gaugegravity duality graduate lecture course university of oxford trinity term 2012 room 501, dwb, department of physics. The rst three sections present the basics, focusing on ads 5 s5. Pdf gaugegravity duality and strongly coupled lightfront. Gauge gravity duality presents new links between quantum theory and gravity, and provides new tools to solve problems in many areas of theoretical physics. It is an example of a gaugegravity duality and is now understood to be a special case of the adscft correspondence. Notably, the gaugegravity duality realises the holographic princi. Foundations and applications, cambridge university press, 2015.
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