Author
Wolfgang Lerche
Other affiliations: University of Paris, California Institute of Technology
Bio: Wolfgang Lerche is an academic researcher from CERN. The author has contributed to research in topics: Heterotic string theory & Supersymmetry. The author has an hindex of 43, co-authored 99 publications receiving 7684 citations. Previous affiliations of Wolfgang Lerche include University of Paris & California Institute of Technology.
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TL;DR: In this paper, the properties of chiral operators in N = 2 superconformal theories were investigated under a one-parameter family of twists generated by the U(1) current.
984 citations
TL;DR: In this article, the authors show how the Riemann surface of N = 2 Yang-Mills field theory arises in type II string compactifications on Calabi-Yau threefolds.
500 citations
TL;DR: In this paper, a particular sequence of hyperelliptic genus n - 1 Riemann surfaces is proposed to underly the quantum moduli space of W(n) N = 2 supersymmetric gauge theory.
488 citations
TL;DR: In this paper, a particular sequence of hyperelliptic genus $n-1$ Riemann surfaces is proposed to underly the quantum moduli space of N = 2 supersymmetric Yang-Mills theory.
Abstract: We present a first step towards generalizing the work of Seiberg and Witten on N=2 supersymmetric Yang-Mills theory to arbitrary gauge groups. Specifically, we propose a particular sequence of hyperelliptic genus $n-1$ Riemann surfaces to underly the quantum moduli space of $SU(n)$ N=2 supersymmetric gauge theory. These curves have an obvious generalization to arbitrary simply laced gauge groups, which involves the A-D-E type simple singularities. To support our proposal, we argue that the monodromy in the semiclassical regime is correctly reproduced. We also give some remarks on a possible relation to string theory.
458 citations
TL;DR: In this paper, a lattice constructions of ten-dimensional heterotic strings can be applied to four dimensions, based on an extension of Narain's lattices by including the bosonized world-sheet fermions and ghosts, and uses conformal field theory as its starting point.
406 citations
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TL;DR: In this paper, the holographic correspondence between field theories and string/M theory is discussed, focusing on the relation between compactifications of string theory on anti-de Sitter spaces and conformal field theories.
5,610 citations
TL;DR: In this paper, a natural relation between sigma models based on Calabi-Yau hypersurfaces in weighted projective spaces and Landau-Ginzburg models is found.
2,162 citations
TL;DR: In this paper, the prepotentials and geometry of the moduli spaces for a Calabi-Yau manifold and its mirror were derived and all the sigma model corrections to the Yukawa couplings and moduli space metric were obtained.
1,679 citations
TL;DR: In this paper, the authors developed techniques to compute higher loop string amplitudes for twisted N = 2 theories with ε = 3 (i.e. the critical case) by exploiting the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured by a master anomaly equation.
Abstract: We develop techniques to compute higher loop string amplitudes for twistedN=2 theories withĉ=3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particular realization of theN=2 theories, the resulting string field theory is equivalent to a topological theory in six dimensions, the Kodaira-Spencer theory, which may be viewed as the closed string analog of the Chern-Simons theory. Using the mirror map this leads to computation of the ‘number’ of holomorphic curves of higher genus curves in Calabi-Yau manifolds. It is shown that topological amplitudes can also be reinterpreted as computing corrections to superpotential terms appearing in the effective 4d theory resulting from compactification of standard 10d superstrings on the correspondingN=2 theory. Relations withc=1 strings are also pointed out.
1,633 citations