ar X iv : h ep - t h / 05 06 17 0 v 2 1 5 Ja n 20 06 Elements of ( super - ) Hamiltonian formalism

ar X iv : h ep - t h / 05 06 17 0 v 3 2 8 A pr 2 00 6 Elements of ( super - ) Hamiltonian formalism

In these lectures we discuss some basic aspects of Hamiltonian formalism, which usually do not appear in standard texbooks on classical mechanics for physicists. We pay special attention to the procedure of Hamiltonian reduction illustrating it by the examples related to Hopf maps. Then we briefly discuss the supergeneralisation(s) of the Hamiltonian formalism and present some simple models of ...

ar X iv : h ep - t h / 05 06 08 2 v 1 1 0 Ju n 20 05 Multi - ( super ) graviton theory on topologically non - trivial backgrounds

It is shown that in some multi-supergraviton models, the contributions to the effective potential due to a non-trivial topology can be positive, giving rise in this way to a positive cosmological constant, as demanded by cosmological observations.

ar X iv : h ep - t h / 05 06 19 5 v 1 2 3 Ju n 20 05 Geometric transitions and mixed Hodge structures

We formulate and prove a B-model disc level large N duality result for general conifold transitions between compact Calabi-Yau spaces using degenerations of Hodge structures.

ar X iv : h ep - t h / 05 06 26 5 v 1 3 0 Ju n 20 05 UW / PT 05 - 15 hep - th / 0506265 Super Janus

We propose and study a supersymmetric version of the Janus domain wall solution of type IIB supergravity. Janus is dual to N = 4 super Yang Mills theory with a coupling constant that jumps across an interface. While the interface in the Janus field theory completely breaks all supersymmetries, it was found earlier that some supersymmetry can be restored in the field theory at the cost of breaki...

ar X iv : h ep - t h / 06 12 12 9 v 3 1 1 Ja n 20 07 STRING COSMOLOGY