ar X iv : h ep - t h / 06 10 10 2 v 3 1 2 Ja n 20 07 Flux Compactification

ar X iv : h ep - t h / 06 01 19 5 v 1 2 6 Ja n 20 06 Energies of Quantum QED Flux Tubes ∗

In this talk I present recent studies on vacuum polarization energies and energy densities induced by QED flux tubes. I focus on comparing three and four dimensional scenarios and the discussion of various approximation schemes in view of the exact treatment.

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

ar X iv : h ep - t h / 05 06 17 0 v 2 1 5 Ja n 20 06 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 / 03 09 13 9 v 2 9 N ov 2 00 3 1 Inflation from String / M - Theory Compactification ? ∗

We present some exact scalar potentials for the dimensionally reduced theory and examine the possibility of obtaining accelerating 4d cosmology from String/M-theory, more generally, hyperbolic and flux compactification. In the hyperbolic case, even in the zero-flux limit, the scalar potential is positive for the 4d effective theory as required to get an accelerating universe, and thereby evadin...

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.