Higher - Loop Integrability in N = 4 Gauge Theory
نویسنده
چکیده
The dilatation operator measures scaling dimensions of local operator in a conformal field theory. Algebraic methods of constructing the dilatation operator in four-dimensional N = 4 gauge theory are reviewed. These led to the discovery of novel integrable spin chain models in the planar limit. Making use of Bethe ansätze a superficial discrepancy in the AdS/CFT correspondence was found, we discuss this issue and give a possible resolution. This is the transcript of a talk given at Strings 2004 in Paris.
منابع مشابه
On the Integrability of large N Plane-Wave Matrix Theory
We show the three-loop integrability of large N plane-wave matrix theory in a subsector of states comprised of two complex light scalar fields. This is done by diagonalizing the theory’s Hamiltonian in perturbation theory and taking the large N limit. At one-loop level the result is known to be equal to the Heisenberg spin-1/2 chain, which is a well-known integrable system. Here, integrability ...
متن کاملTwo - loop Integrability of Planar N = 6 Superconformal Chern - Simons Theory
Bethe ansatz equations have been proposed for the asymptotic spectral problem of AdS4/CFT3. This proposal assumes integrability, but the previous verification of weak-coupling integrability covered only the su(4) sector of the ABJM gauge theory. Here we derive the complete planar two-loop dilatation generator of N = 6 superconformal Chern-Simons theory from osp(6|4) superconformal symmetry. For...
متن کاملIntegrability in Yang-Mills theory on the light cone beyond leading order.
The one-loop dilatation operator in Yang-Mills theory possesses a hidden integrability symmetry in the sector of maximal-helicity Wilson operators. We calculate two-loop corrections to the dilatation operator and demonstrate that, while integrability is broken for matter in the fundamental representation of the SU(3) gauge group, for the ajoint SU(N(c)) matter it survives the conformal symmetry...
متن کاملA Twistorial Approach to Integrability in N = 4 SYM
While the achievements in the study of N = 4 Super Yang-Mills through the application of integrability are impressive, the precise origins of the exact solvability remain shrouded in mystery. In this note, we propose that viewing the problem through the lens of twistor theory should help to clarify the reasons for integrability. We illustrate the power of this approach by rederiving the model’s...
متن کاملOn the breakdown of perturbative integrability in large N matrix models
We study the perturbative integrability of the planar sector of a massive SU(N) matrix quantum mechanical theory with global SO(6) invariance and Yang-Mills-like interaction. This model arises as a consistent truncation of maximally supersymmetric Yang-Mills theory on a three-sphere to the lowest modes of the scalar fields. In fact, our studies mimic the current investigations concerning the in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004