Symmetries of special 2-flags

Special Functions and Their Symmetries

1 Gamma and Beta functions 2 1.

Hidden Symmetries, Special Geometry and Quaternionic Manifolds

The moduli space of the Calabi-Yau three-folds, which play a role as superstring ground states, exhibits the same special geometry that is known from nonlinear sigma models in N = 2 supergravity theories. We discuss the symmetry structure of special real, complex and quaternionic spaces. Maps between these spaces are implemented via dimensional reduction. We analyze the emergence of extra and h...

New Solutions for Fokker-Plank Equation of‎ ‎Special Stochastic Process via Lie Point Symmetries

‎In this paper Lie symmetry analysis is applied in order to find new solutions for Fokker Plank equation of Ornstein-Uhlenbeck process‎. ‎This analysis classifies the solutions format of the Fokker Plank equation by using the Lie algebra of the symmetries of our considered stochastic process‎.

On the symmetries of special holonomy sigma models

In addition to superconformal symmetry, (1, 1) supersymmetric two-dimensional sigma models on special holonomy manifolds have extra symmetries that are in one-to-one correspondence with the covariantly constant forms on these manifolds. The superconformal algebras extended by these symmetries close as W-algebras, i.e. they have field-dependent structure functions. It is shown that it is not pos...

Degeneracy loci and G 2 flags ( February 8 , 2009 )