We consider the Cartan subalgebra of any very extended algebra G+++ where G is a simple Lie algebra and let the parameters be space-time fields. These are identified with diagonal metrics and… (More)

We review the emergence of the ten-dimensional fermionic closed string theories from subspaces of the Hilbert space of the 26-dimensional bosonic closed string theory compactified on an E8 × SO(16)… (More)

The K3 sigma model based on the Z2-orbifold of theD4-torus theory is studied. It is shown that it has an equivalent description in terms of twelve free Majorana fermions, or as a rational conformal… (More)

In view of a potential interpretation of the role of the Mathieu group M24 in the context of strings compactified on K3 surfaces, we develop techniques to combine groups of symmetries from different… (More)

We extend the search for fermionic subspaces of the bosonic string compactified on E8×SO(16) lattices to include all fermionic D-branes. This extension constraints the truncation procedure previously… (More)

A maximal subgroup of the Mathieu group M24 arises as the combined holomorphic symplectic automorphism group of all Kummer surfaces whose Kähler class is induced from the underlying complex torus. As… (More)

A vital constituent of a virus is its protein shell, called the viral capsid, that encapsulates and hence provides protection for the viral genome. Assembly models are developed for viral capsids… (More)

The investigation of boundary breather states of the sinh-Gordon model restricted to a half-line is revisited. Properties of the classical boundary breathers for the twoparameter family of integrable… (More)

We study modular transformation properties of a class of in defi ite theta series involved in characters of infinite-dimensional Lie sup eralgebras. The level-l Appell functions Kl satisfy open… (More)