DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Scattering Amplitudes, the AdS/CFT Correspondence, Minimal Surfaces, and Integrability

Journal Article · · Advances in High Energy Physics

We focus on the computation of scattering amplitudes of planar maximally supersymmetric Yang‐Mill in four dimensions at strong coupling by means of the AdS/CFT correspondence and explain how the problem boils down to the computation of minimal surfaces in AdS in the first part of this paper. In the second part of this review we explain how integrability allows to give a solution to the problem in terms of a set of integral equations. The intention of the review is to give a pedagogical, rather than very detailed, exposition.

Sponsoring Organization:
USDOE
Grant/Contract Number:
FG02-90ER40542
OSTI ID:
1198321
Journal Information:
Advances in High Energy Physics, Journal Name: Advances in High Energy Physics Journal Issue: 1 Vol. 2010; ISSN 1687-7357
Publisher:
Hindawi Publishing CorporationCopyright Statement
Country of Publication:
Egypt
Language:
English

References (17)

Lectures on scattering amplitudes via AdS/CFT journal July 2008
Some comments on spacelike minimal surfaces with null polygonal boundaries in AdS m journal February 2010
An analytic result for the two-loop hexagon Wilson loop in $ \mathcal{N} = 4 $ SYM journal March 2010
Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity journal November 2001
Hexagon Wilson loop = six-gluon MHV amplitude journal July 2009
Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes journal February 2010
Scattering amplitudes, Wilson loops and the string/gauge theory correspondence journal November 2008
The Large-N Limit of Superconformal Field Theories and Supergravity journal January 1999
Exact integrability of strings inD-dimensional de Sitter spacetime journal April 1993
Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond journal October 2005
Two-loop six-gluon maximally helicity violating amplitude in maximally supersymmetric Yang-Mills theory journal August 2008
Asymptotically free gauge theories. II journal February 1974
Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory at Strong Coupling journal March 2008
Wilson Loops in Large N Field Theories journal June 1998
Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory journal December 2003
Test of the Anti–de Sitter-Space/Conformal-Field-Theory Correspondence Using High-Spin Operators journal March 2007
The large $N$ limit of superconformal field theories and supergravity journal January 1998

Similar Records

The AdS/CFT correspondence
Journal Article · 2015 · Classical and Quantum Gravity · OSTI ID:1610303

Hall conductivity of flavor fields from AdS/CFT correspondence
Journal Article · 2007 · Physical Review. D, Particles Fields · OSTI ID:21032515

Drag force in AdS/CFT
Journal Article · 2006 · Physical Review. D, Particles Fields · OSTI ID:20871526

Related Subjects