It is argued that gravitational descendants in the theory of topological gravity coupled to topological Landau-Ginzburg theory can be constructed from matter fields alone (without metric fields and… (More)

The " Hodge strings " construction of solutions to associativity equations is proposed. From the topological string theory point of view this construction formalizes the " integration over the… (More)

We study flows on the space of topological Landau-Ginzburg theories coupled to topological gravity. We argue that flows corresponding to gravitational descendants change the target space from a… (More)

We consider multiplet shortening for BPS solitons inN=1 two-dimensional models. Examples of the single-state multiplets were established previously in N=1 Landau-Ginzburg models. The shortening comes… (More)

Field theory with instantons can be partially regularized by adding degrees of freedom at some scale. These extra degrees of freedom lead to the appearence of the new topological defects. These… (More)

We study flows on the space of topological Landau-Ginzburg theories coupled to topological gravity. We argue that flows corresponding to gravitational descendants change the target space from a… (More)

Twenty five years after their discovery [1], quasicrystals have become an accepted object of academic research. The existence of nonperiodic structures with long range order came as a surprise for… (More)

Within the path integral approach quantum field theory can be formulated as an integral over the superspace of fields. The Berezin integral is the crucial element in this construction. Replacing an… (More)

A new kind of aperiodic tiling is introduced. It is shown to underlie a structure obtained as a su-perposition of waves with incommensurate periods. Its connections to other other tilings and… (More)