Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-04-02
Int.J.Mod.Phys.A23:2307-2323,2008
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, 1 figure, to appear in the Proceedings "Progress of String Theory and Quantum Field Theory", international conferenc
Scientific paper
10.1142/S0217751X08041153
We give a brief account of the recent progresses in super Yang-Mills theories based in particular on the application of Nekrasov's instanton technology to the case of N=1 supersymmetry. We have developed a first-principle formalism from which any chiral observable in the theory can be computed, including in strongly coupled confining vacua. The correlators are first expressed in terms of some external variables as sums over colored partitions. The external variables are then fixed to their physical values by extremizing the microscopic quantum superpotential. Remarquably, the results can be shown to coincide with the Dijkgraaf-Vafa matrix model approach, which uses a totally different mathematical framework. These results clarify many important properties of N=1 theories, related in particular to generalized Konishi anomaly equations and to Veneziano-Yankielowicz terms in the glueball superpotentials. The proof of the equivalence between the formalisms based on colored partitions and on matrices is also a proof of the open/closed string duality in the chiral sector of the theories.
No associations
LandOfFree
The Microscopic Approach to N=1 Super Yang-Mills Theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Microscopic Approach to N=1 Super Yang-Mills Theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Microscopic Approach to N=1 Super Yang-Mills Theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-389093