 Home
 Products
 Integration
 Tutorial
 Barcode FAQ
 Purchase
 Company
barcode in vb.net 2008 A Qualitative Description of AdS/CFT Correspondence in Java
A Qualitative Description of AdS/CFT Correspondence QR Code ISO/IEC18004 Decoder In Java Using Barcode Control SDK for Java Control to generate, create, read, scan barcode image in Java applications. QR Generator In Java Using Barcode drawer for Java Control to generate, create Quick Response Code image in Java applications. The framework of the holographic principle which comes out of string/Mtheory is known as AdS/CFT (antide Sitter/conformal eld theory) correspondence. We can quantitatively describe the spacetime using AdS space in ve dimensions. The vedimensional AdS model has a boundary with four dimensions that looks like at space with three spatial directions and one time dimension. The AdS/CFT correspondence involves a duality, something we re already familiar with from our studies of superstring theories. This duality is between two types of theories: Fivedimensional gravity Super YangMills theory de ned on the boundary By super YangMills theory we mean theory of particle interactions with supersymmetry. The holographic principle comes out of the correspondence between these two theories because YangMills theory, which is happening on the boundary, is equivalent to the gravitational physics happening in the vedimensional AdS geometry. So the YangMills theory can be colloquially thought of as a hologram on the boundary of the real vedimensional space where the vedimensional gravitational physics is taking place. QR Reader In Java Using Barcode scanner for Java Control to read, scan read, scan image in Java applications. Generating Barcode In Java Using Barcode encoder for Java Control to generate, create bar code image in Java applications. String Theory Demysti ed
Bar Code Decoder In Java Using Barcode decoder for Java Control to read, scan read, scan image in Java applications. Make QR Code In Visual C# Using Barcode creation for .NET Control to generate, create QRCode image in VS .NET applications. The Holographic Principle and MTheory
Making QR Code 2d Barcode In VS .NET Using Barcode creation for ASP.NET Control to generate, create QR Code 2d barcode image in ASP.NET applications. Painting QR Code JIS X 0510 In VS .NET Using Barcode generator for VS .NET Control to generate, create QR Code image in VS .NET applications. Now let s make our description more quantitative. In the nal chapter of the book we discuss stringy cosmology. There we will encounter a model of spacetime that has sprung out of string/Mtheory that might in fact describe our actual universe. That same model has a nice application in the topic of this chapter as well. The model is a vedimensional AdS space. It can be described as follows. We start with a vedimensional AdS space. In a nutshell, this is a fourdimensional spatial ball and an in nite time axis. The radius of the ball is 0 r < 1. The radius of curvature is denoted by R, and we lump the remaining spatial dimensions together into a unit threesphere denoted by . The metric which describes the AdS is written as ds 2 = R2 [(1 + r 2 )dt 2 4 dr 2 4r 2 d 2 ] (1 r 2 )2 Printing QR Code In Visual Basic .NET Using Barcode maker for VS .NET Control to generate, create QRCode image in .NET framework applications. Code 128 Drawer In Java Using Barcode printer for Java Control to generate, create Code128 image in Java applications. Note that there are different, equivalent ways to write this metric which you might encounter elsewhere. AdS space has negative curvature and acts like a cavity of size R with re ecting walls. Light or objects and re ect off the boundary and return to the center (see The Illusion of Gravity by Juan Maldacena in Scienti c American, November 2005, for a nice popular level description of AdS). For us, we are interested in superstring theory. The number of spacetime dimensions in superstring theory is D = 10. So the complete space is AdS S 5 where S5 is a unit vesphere containing the remaining dimensions from string theory. If we denote the extra ve coordinates by y5 they are incorporated into our metric by 2 adding a term Rdy5 . We can imagine compactifying these dimensions to a very small size so that they can be effectively ignored. So the universe can be effectively treated as the vedimensional bulk which is the interior of the sphere and the boundary which is the surface. The surface has three spatial dimensions and time. In the Mtheory picture, the world we know is in essence a shadow or hologram living on the boundary of a larger dimensional universe. The physics is divided as follows: The boundary conformal theory lives on the surface of the sphere at x = 1. These are the particles and interactions of the standard model, plus any supersymmetric extension of it. Gravity is everywhere. Making Code 128 Code Set B In Java Using Barcode creation for Java Control to generate, create Code 128A image in Java applications. Paint Code 39 Full ASCII In Java Using Barcode generation for Java Control to generate, create Code 3/9 image in Java applications. CHAPTER 15 The Holographic Principle
Leitcode Creator In Java Using Barcode encoder for Java Control to generate, create Leitcode image in Java applications. Code 128 Code Set A Generation In Visual Studio .NET Using Barcode drawer for ASP.NET Control to generate, create Code128 image in ASP.NET applications. But, gravity can propagate into the bulk. In the bulk, which is the interior volume of the AdS sphere, gravity is the only interaction. Inside the ball of the AdS geometry, the theory is supergravity. We won t get into supergravity in this book but you can look it up on the arXiv if interested in learning about it. The conformal theory that describes particles and their interactions is supersymmetric and is called super YangMills theory or SYM for short. The gauge group for SYM is SU(N). So the AdS/CFT correspondence can be framed as follows: There is a super YangMills theory with SU(N) on the surface of the ball. There is bulk supergravity in the interior of the ball. In string theory, the number of degrees of freedom for the SYM is constrained by three factors: The fundamental string length The string coupling The curvature of AdS space The number of degrees of freedom for SYM is N2 since the gauge group is SU(N) and it has a gauge coupling gYM. The constraint on N is quanti ed in the following relationship: R= Draw UPC A In Visual Studio .NET Using Barcode creation for Reporting Service Control to generate, create UPCA Supplement 2 image in Reporting Service applications. Printing Code 128 Code Set C In Java Using Barcode creator for Android Control to generate, create Code 128 Code Set C image in Android applications. ( gs N )1/ 4 EAN13 Supplement 5 Recognizer In Visual Studio .NET Using Barcode scanner for VS .NET Control to read, scan read, scan image in .NET framework applications. Printing Code 39 Extended In .NET Using Barcode drawer for ASP.NET Control to generate, create ANSI/AIM Code 39 image in ASP.NET applications. The gaugecoupling is related to the stringcoupling constant as: gYM 2 = gs Now we would like to introduce a cutoff in the bulk. We divide up the sphere into little cells such that the total number of cells in the sphere is 3 for some cell d. That is, We cut off the information storage capacity by replacing the continuum of space by cells of size d. There is a single degree of freedom in each cell. With the total number of degrees of freedom for the SYM theory proportional to N2, we nd that the total number of degrees of freedom with the cutoff is N dof = N2 N2 =A 3 R 3 Scan EAN13 In Java Using Barcode scanner for Java Control to read, scan read, scan image in Java applications. Reading Barcode In Java Using Barcode reader for Java Control to read, scan read, scan image in Java applications. 
