In this paper, we first discuss the structure of the Ramond N = 2 superconformal algebras. Then we classify the modules of the intermediate series over Ramond N = 2 superconformal algebra.

This paper, the first in a projected series of three, is concerned with the classification of holomorphic principal G-bundles over an elliptic curve, where G is a reductive linear algebraic group. The motivation for this study comes from physics. The F-theory/heterotic string duality predicts that, given an elliptically fibered Calabi-Yau manifold M of dimension n over a base space B, together ...

This paper pursues the study of the Calabi–Yau equation on certain sym-plectic non-Kähler 4-manifolds, building on a key example of Tosatti–Weinkove [24] in which more general theory had proved less effective. Symplectic 4-manifolds admitting a 2-torus fibration over a 2-torus base T 2 are modelled on one of three solvable Lie groups. Having assigned an invariant almost-Kähler structure and a v...

We describe the real, complete modules of the Clifford Algebra C(Z), where Z is a real Hilbert space acting by skew-adjoint operators.

The approach of Kurokawa, Ochiai, and Wakayama to ‘absolute mathematics’ is used to develop a theory of schemes over F1. It turns out that the functor GLn is represented by a scheme and that its value on F1 gives the Weyl group.