Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-08-31
Physica D235:126-167,2007
Physics
High Energy Physics
High Energy Physics - Theory
54 pages
Scientific paper
10.1016/j.physd.2007.04.018
Various branches of matrix model partition function can be represented as intertwined products of universal elementary constituents: Gaussian partition functions Z_G and Kontsevich tau-functions Z_K. In physical terms, this decomposition is the matrix-model version of multi-instanton and multi-meron configurations in Yang-Mills theories. Technically, decomposition formulas are related to representation theory of algebras of Krichever-Novikov type on families of spectral curves with additional Seiberg-Witten structure. Representations of these algebras are encoded in terms of "the global partition functions". They interpolate between Z_G and Z_K associated with different singularities on spectral Riemann surfaces. This construction is nothing but M-theory-like unification of various matrix models with explicit and representative realization of dualities.
Alexandrov Alexander
Mironov Aleksej
Morozov Alexander
No associations
LandOfFree
Instantons and Merons in Matrix Models 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 Instantons and Merons in Matrix Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Instantons and Merons in Matrix Models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-397097