ar X iv : h ep - t h / 05 06 15 5 v 2 1 1 Ju l 2 00 5 Determinant Formulas for Matrix Model Free Energy

ar X iv : h ep - t h / 05 06 15 5 v 1 1 8 Ju n 20 05 Determinant Formulas for Matrix Model Free Energy

The paper contains a new non-perturbative representation for subleading contribution to the free energy of multicut solution for hermitian matrix model. This representation is a generalisation of the formula, proposed by Klemm, Marino and Theisen for two cut solution, which was obtained by comparing the cubic matrix model with the topological B-model on the local Calabi-Yau geometry II and was ...

ar X iv : h ep - t h / 05 06 18 8 v 2 1 9 Ju l 2 00 5 Classical solution of a sigma model in curved background

We have solved equations of motion of a σ–model in curved background using the fact that the Poisson–Lie T-duality can transform them into the equations in the flat one. For finding solution of the flat model we have used transformation of coordinates that makes the metric constant. The T-duality transform was then explicitly performed.

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 08 2 v 2 2 9 Ju l 2 00 5 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 - p h / 05 06 27 0 v 1 27 J un 2 00 5 Coupled - channel model for charmonium levels and an option for X ( 3872 )