文档介绍：Third Latin American Symposium on High Energy Physics
PROCEEDINGS
Large N field theories from Superstrings
Jorge G. Russo
Departamento de F´ısica, Universidad de Buenos Aires
Ciudad Universitaria, 1428 Buenos Aires
E-mail: ******@
Abstract: These are introductory lectures on the correspondence between SU(N) gauge theories and
Superstring Theory in anti-de Sitter geometries (AdS). The bines a number of different
topics, including supersymmetric field theory, classical and quantum physics of black holes, string
theory, string dualities, conformal field theories (CFT), and quantum field theory in anti-de Sitter
spaces. We also discuss applications of this AdS/CFT correspondence to the large N dynamics of
pure QCD.
1. Introduction pactified in singular ten dimensional
spacetimes and Yang Mills theories in p + 1 di-
The idea that non-abelian gauge theories can be mensions [10]. It is now widely expected that a
described in terms of a string theory [1, 2, 3] was similar correspondence should hold for any quan-
originally motivated by the duality symmetry of tum gravity theory in a spacetime that is asymp-
scattering amplitudes and by the appearance of a totic to anti-de Sitter space.
great number of hadronic resonances in strongly
Such correspondence also represents a con-
coupled QCD, which persisted even for high val-
crete implementation [6] of another remarkable
ues of the spin. The mass squared of the light-
conjecture by ’t Hooft [11]. Based on the en-
est particle of a given spin J was observed to
tropy formula of black holes, ’t Hooft conjec-
be proportional to J, . M 2 = . This
tured that a consistent quantum theory of gravity
simple law essfully predicted the masses of
must be holographic, in the sense that the funda-
a few resonances, and it soon became clear that
mental degrees of freedom describing physics in
such spectrum of particles follows from the sim-
a given volume can be ascribed to the surfac