Conformal transformations and conformal invariance in gravitation
نویسندگان
چکیده
منابع مشابه
Conformal invariance from non-conformal gravity
We discuss the conditions under which classically conformally invariant models in four dimensions can arise out of non-conformal (Einstein) gravity. As an ‘existence proof’ that this is indeed possible we show how to derive N = 4 super Yang Mills theory with any compact gauge group G from non-conformal gauged N = 4 supergravity as a special flat space limit. We stress the role that the anticipa...
متن کاملChapter 18 Conformal Invariance
At the beginning of the semester we motivated our investigation of symmetries by illustrating that, given differential equations which were symmetric, the solutions had to transform into each other under the symmetries as a representation of the symmetry. The first illustrations considered Schrödinger equations with symmetric potentials, such as the electrons in the spherically symmetric potent...
متن کاملConformal Invariance and Integrable Theories
Integrable theories on the lattice having zero energy gap exhibit conformal invariance for long distances. It is shown here how to extract its conformal properties (central charge e and scaling dimensions) from the Bethe ansatz equations. The methods here exposed are applied to the six-vertex model and to the critical Potts model.
متن کاملStochastic processes and conformal invariance.
We discuss a one-dimensional model of a fluctuating interface with a dynamic exponent z=1. The events that occur are adsorption, which is local, and desorption which is nonlocal and may take place over regions of the order of the system size. In the thermodynamic limit, the time dependence of the system is given by characters of the c=0 logarithmic conformal field theory of percolation. This im...
متن کاملDynamics, Probability, and Conformal Invariance
The study of dynamics in the plane has recently seen a surge in interest due to three recent breakthroughs: the Sullivan-McMullen-Lyubich proof of the Feigenbaum Universality, the introduction by O. Schramm of SLE processes, and the work of S. Smirnov on percolation. The fields of Holomorphic Dynamics, SLE, and Conformal Field Theory (CFT) are now seen to be closely linked, the glue being provi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annalen der Physik
سال: 2009
ISSN: 0003-3804,1521-3889
DOI: 10.1002/andp.200810331