#### Filter Results:

- Full text PDF available (40)

#### Publication Year

1961

2008

- This year (0)
- Last 5 years (0)
- Last 10 years (6)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

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 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… (More)

- Ilka Brunner, Manfred Herbst, Wolfgang Lerche, Bernhard Scheuner
- 2003

We investigate B-type topological Landau-Ginzburg theory with one variable, withD2-brane boundary conditions. We find that the allowed brane configurations are determined in terms of the possible factorizations of the superpotential, and compute the corresponding open string chiral rings. These are characterized by bosonic and fermionic generators that… (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 twodimensional 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 cohomology… (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 supersymmetric… (More)

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 nonperturbative results on N = 2 gauge theory directly from tree-level type II string theory, which… (More)

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 associativity 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)

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
- 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.… (More)

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)