A Correspondence Between Supersymmetric Yang-Mills and Supergravity Theories
نویسنده
چکیده
AdS/CFT-correspondence establishes a relationship between supersymmetric gravity (SUGRA) on Anti-de-Sitter (AdS) space and supersymmetric Yang-Mills (SYM) theory which is conformaly invariant (CFT). The AdS space is the solution of the Einstein-Hilbert equations with a constant negative curvature. Why is this relationship important? What kind of relationship is this? How does one find it? The purpose of this text is to answer these questions. We try to present the main ideas and arguments underlying this relationship, starting with a brief sketch of old string theory statements and proceeding with the definition of D-branes and a description of their main features. We finish with the observation of the correspondence in question and the arguments that favor it. 1 Tel.: (7-095)129-9768. Fax (7-095) 129-9649 E-mail: [email protected]; [email protected]
منابع مشابه
Wilson loops, confinement, and phase transitions in large N gauge theories from supergravity
We use the recently proposed supergravity approach to large N gauge theories to calculate ordinary and spatial Wilson loops of gauge theories in various dimensions. In this framework we observe an area law for spatial Wilson loops in four and five dimensional supersymmetric Yang-Mills at finite temperature. This can be interpreted as the area law of ordinary Wilson loops in three and four dimen...
متن کاملNon-Commutative Yang-Mills and The AdS/CFT Correspondence
We study the non-commutative supersymmetric Yang-Mills theory at strong coupling using the AdS/CFT correspondence. The supergravity description and the UV/IR relation confirms the expectation that the non-commutativity affects the ultra-violet but not the infra-red of the Yang-Mills dynamics. We show that the supergravity solution dual to the non-commutative N = 4 SYM in four dimensions has no ...
متن کاملRenormalization Group Flows from Five-Dimensional Supergravity †
Perhaps the most extensively tested and studied version of the AdS/CFT correspondence is that of N = 4 supersymmetric Yang-Mills theory in (3 + 1) dimensions and the compactification of IIB supergravity on AdS × S [1]. The relationship between supergravity fields and Yang-Mills operators can most easily be mapped out from the representation structure of the extended superconformal algebra. Take...
متن کاملGauged Supergravities from Spherical Reductions
Gauged Supergravities from Spherical Reductions. (December 2001) Tuan Anh Tran, B.S., Hanoi University, Vietnam Chair of Advisory Committee: Dr. Christopher N. Pope This dissertation is devoted to deriving the bosonic sectors of certain gauged supergravities in various dimensions from reducing eleven-dimensional supergravity, type IIA and type IIB supergravities in ten dimensions on certain sph...
متن کاملLong-distance interactions of branes: correspondence between supergravity and super Yang-Mills descriptions
We address the issue of correspondence between classical supergravity and quantum super Yang-Mills (or Matrix theory) expressions for the long-distance, lowvelocity interaction potentials between 0-branes and bound states of branes. The leading-order potentials are reproduced by the F 4 terms in the 1-loop SYM effective action. Using self-consistency considerations, we determine a universal com...
متن کامل