Mathematics – Quantum Algebra
Scientific paper
2009-12-30
Comptes Rendus Mathematique,vol 348 (2010), pp. 359-362
Mathematics
Quantum Algebra
The paper submited to the "Comptes rendus" of the French Academy of Science on May,17,2009; presented for publication by Acade
Scientific paper
10.1016/j.crma.2010.02.002
We associate the new type of supersymmetric matrix models with any solution to the quantum master equation of the noncommutative Batalin-Vilkovisky geometry. The asymptotic expansion of the matrix integrals gives homology classes in the Kontsevich compactification of the moduli spaces, which we associated with the solutions to the quantum master equation in our previous paper. We associate with the queer matrix superalgebra equipped with an odd differentiation, whose square is nonzero, the family of cohomology classes of the compactification. This family is the generating function for the products of the tautological classes. The simplest example of the matrix integrals in the case of dimension zero is a supersymmetric extenstion of the Kontsevich model of 2-dimensional gravity.
No associations
LandOfFree
Noncommmutative Batalin-Vilkovisky geometry and Matrix integrals 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 Noncommmutative Batalin-Vilkovisky geometry and Matrix integrals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noncommmutative Batalin-Vilkovisky geometry and Matrix integrals will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-103458