This paper is devoted to recent progress made towards the understanding of closed bosonic
and fermionic string perturbation theory, formulated in a Lorentz-covariant way on Euclidean …

Self-dual lattices can be used to construct simple conformal field theories for “compactified”
degrees of freedom in string theory. While these are by no means the most general …

We compute the elliptic genera of two-dimensional N=(2, 2) N=(2, 2) and N=(0, 2) N=(0, 2)-
gauged linear sigma models via supersymmetric localization, for rank-one gauge groups …

We calculate the superconformal index for N= 6 Chern–Simons-matter theory with gauge
group U (N) k× U (N)− k at arbitrary allowed value of the Chern–Simons level k. The …

In this paper we study the relation between six-dimensional supergravity compactified on
S3× AdS3 and certain two-dimensional conformal field theories. We compute the Kaluza …

We present a trace formula for a Witten type Index for superconformal field theories in d= 3, 5
and 6 dimensions, generalizing a similar recent construction in d= 4. We perform a detailed …

It is shown how our previous work on lattice constructions of ten-dimensional heterotic
strings can be applied to four dimensions. The construction is based on an extension of …

The infinities and the anomalies in the G≠ SO (32) open superstring arise from the same
limit of the one-loop Riemann surfaces. The dilaton tadpole infinity is removable by an …

Recently Witten proposed to consider the elliptic genus in N= 2 superconformal field theory
to understand the relation between N= 2 minimal models and Landau-Ginzburg theories. In …

One-loop modular invariant heterotic and type II closed string theories are proved to be
anomaly free, apart from terms proportional to TrF 2− TrR 2. It is shown why this conclusion …