Algebraic structures and differential geometry in two-dimensional string theory

Algebraic Structures and Differential Geometry in 2d String Theory

A careful treatment of closed string BRST cohomology shows that there are more discrete states and associated symmetries in D = 2 string theory than has been recognized hitherto. The full structure, at the SU(2) radius, has a natural description in terms of abelian gauge theory on a certain three dimensional cone Q. We describe precisely how symmetry currents are constructed from the discrete s...

Model Theory and Differential Algebraic Geometry

Flux-vacua in Two Dimensional String Theory

We analyze the two dimensional type 0 theory with background RR-fluxes. Both the 0A and the 0B theory have two distinct fluxes q and q̃. We study these two theories at finite temperature (compactified on a Euclidean circle of radius R) as a function of the fluxes, the tachyon condensate μ and the radius R. Surprisingly, the dependence on q, q̃ and μ is rather simple. The partition function is the...

DEVELOPMENT IN STRING THEORY

The string theory is a fast moving subject, both physics wise and in the respect of mathematics. In order to keep up with the discipline it is important to move with new ideas which are being stressed. Here I wish to give extracts from new papers of ideas which I have recently found interesting. There are six papers which are involved: I ."Strings formulated directly in 4 dimensions " A. N...

Ward Identities in Two - Dimensional String Theory

I study the Ward identities of the w∞ symmetry of the two-dimensional string theory. It is found that, not just an isolated vertex operator, but also a number of vertex operators colliding at a point can produce local charge non-conservation. The structure of all such contact terms is determined. As an application, I calculate all the non-vanishing bulk tachyon amplitudes directly through the W...