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- 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)

- A Klemm, W Lerche, S Theisen
- 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)

- W Lerche, P Mayr, N Warner
- 2002

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.

- 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, P Mayr, N Warner
- 2002

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, P Mayr
- 1995

We analyze the map between heterotic and type II N=2 supersym-metric string theories for certain two and three moduli examples found by Kachru and Vafa. The appearance of elliptic j-functions can be traced back to specializations of the Picard-Fuchs equations to systems for K 3 surfaces. For the three-moduli example we write the mirror maps and Yukawa… (More)

- W Lerche, P Mayr, N P Warner
- 1996

We study limits of four-dimensional type II Calabi–Yau compactifications with vanishing four-cycle singularities, which are dual to T 2 compactifications of the six-dimensional non-critical string with E 8 symmetry. We define proper sub-sectors of the full string theory, which can be consistently decoupled. In this way we obtain rigid effective theories… (More)

- W Lerche, P Mayr
- 2008

We study the open string extension of the mirror map for N = 1 supersymmetric type II vacua with D-branes on non-compact Calabi-Yau manifolds. Its definition is given in terms of a system of differential equations that annihilate certain period and chain integrals. The solutions describe the flat coordinates on the N = 1 parameter space, and the exact disc… (More)

- W Lerche
- 1994

We investigate the algebraic structure of integrable hierarchies that, we propose, underlie models of W-gravity coupled to matter. More precisely, we concentrate on the dispersionless limit of the topological subclass of such theories, by making use of a correspondence between Drinfeld-Sokolov systems, principal sℓ(2) embeddings and certain chiral rings. We… (More)