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- Albrecht Klemm, Wolfgang Lerche, Peter Mayr, Nicholas Warner
- 1996

We show how the Riemann surface Σ of N = 2 Yang-Mills field theory arises in type II string compactifications on Calabi-Yau threefolds. The relevant local geometry is given by fibrations of ALE spaces. The 3-branes that give rise to BPS multiplets in the string descend to self-dual strings on the Riemann surface, with tension determined by a canonically… (More)

- A Klemm, W Lerche, S Yankielowicz, S Theisen
- 1994

We present a first step towards generalizing the work of Seiberg and Wit-ten 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… (More)

We outline a general geometric structure that underlies the N = 1 superpotentials of a certain class of flux and brane configurations in type II string compactifications on Calabi-Yau threefolds. This " holomorphic N = 1 special geometry " is in many respects comparable to, and in a sense an extension of, the familiar special geometry in N = 2… (More)

- A. Klemm, W. Lerche
- 1995

We elaborate on our previous work on N = 2 supersymmetric Yang-Mills theory. In particular, we show how to explicitly determine the low energy quantum effective action for G = SU (3) from the underlying hyperelliptic Riemann surface, and calculate the leading instanton corrections. This is done by solving Picard-Fuchs equations and asymptotically evaluating… (More)

We study the superpotential of a certain class of N = 1 supersymmetric type II compactifications with fluxes and D-branes. We show that it has an important two-dimensional meaning in terms of a chiral ring of the topologically twisted theory on the world-sheet. In the open-closed string B-model, this chiral ring is isomorphic to a certain relative… (More)

- W. Lerche
- 1996

We give an elementary introduction to the recent solution of N = 2 supersymmetric Yang-Mills theory. In addition, we review how it can be re-derived from string duality. We give an elementary introduction to the recent solution of N = 2 supersymmetric Yang-Mills theory. In addition, we review how it can be re-derived from string duality.

- Manfred Herbst, Calin-Iuliu Lazaroiu, Wolfgang Lerche
- 2004

We give a systematic derivation of the consistency conditions which constrain open-closed disk amplitudes of topological strings. They include the A ∞ relations (which generalize as-sociativity of the boundary product of topological field theory), as well as certain homotopy versions of bulk-boundary crossing symmetry and Cardy constraint. We discuss… (More)

- M Bershadsky, W Lerche, D Nemeschansky, N P Warner
- 1993

We show that almost all string theories, including the bosonic string, the superstring and W-string theories, possess a twisted N = 2 superconformal symmetry. This enables us to establish a connection between topological gravity and the field theoretical description of matter coupled to gravity. We also show how the BRST operators of the W n-string can be… (More)

- W Lerche, S Stieberger
- 1998

We compute certain one-loop corrections to F 4 couplings of the het-erotic string compactified on T 2 , and show that they can be characterized by holomorphic prepotentials G. We then discuss how some of these couplings can be obtained in F-theory, or more precisely from 7–brane geometry in type IIB language. We in particular study theories with E 8 × E 8… (More)

- Shamit Kachru, Albrecht Klemm, Wolfgang Lerche, Peter Mayr
- 1995

Using heterotic/type II string duality, we obtain exact nonperturbative results for the point particle limit (α ′ → 0) of some particular four dimensional, N = 2 supersymmetric compactifications of heterotic strings. This allows us to recover recent exact nonpertur-bative results on N = 2 gauge theory directly from tree-level type II string theory, which… (More)