158 citations · 643 across the 16 of their papers we have counts for
15 papers · 1 filter
From Matrix Models to Gaussian Molecules and the Einstein-Hilbert Action
Manfred Herbst
A matrix model on a D-dimensional Euclidean space is introduced as a generalization of random matrix models and as a non-perturbative definition of discretized closed string theory…
On higher rank coisotropic A-branes
Manfred Herbst
This article is devoted to a world sheet analysis of A-type D-branes in N=(2,2) supersymmetric non-linear sigma models. In addition to the familiar Lagrangian submanifolds with fla…
Orientifolds and D-branes in N=2 gauged linear sigma models
Ilka Brunner, Manfred Herbst
We study parity symmetries and boundary conditions in the framework of gauged linear sigma models. This allows us to investigate the Kaehler moduli dependence of the physics of D-b…
Phases Of N=2 Theories In 1+1 Dimensions With Boundary
Manfred Herbst, Kentaro Hori, David Page
We study B-type D-branes in linear sigma models with Abelian gauge groups. The most important finding is the grade restriction rule. It classifies representations of the gauge grou…
Non-topological non-commutativity in string theory
Sebastian Guttenberg, Manfred Herbst, Maximilian Kreuzer +1
Quantization of coordinates leads to the non-commutative product of deformation quantization, but is also at the roots of string theory, for which space-time coordinates become the…
Instanton Geometry and Quantum A-infinity structure on the Elliptic Curve
Manfred Herbst, Wolfgang Lerche, Dennis Nemeschansky
We first determine and then study the complete set of non-vanishing A-model correlation functions associated with the ``long-diagonal branes'' on the elliptic curve. We verify that…
Quantum A-infinity Structures for Open-Closed Topological Strings
Manfred Herbst
We study factorizations of topological string amplitudes on higher genus Riemann surfaces with multiple boundary components and find quantum A-infinity relations, which are the hig…
Matrix Factorizations And Mirror Symmetry: The Cubic Curve
Ilka Brunner, Manfred Herbst, Wolfgang Lerche +1
We revisit open string mirror symmetry for the elliptic curve, using matrix factorizations for describing D-branes on the B-model side. We show how flat coordinates can be intrinsi…
D-brane effective action and tachyon condensation in topological minimal models
Manfred Herbst, Calin-Iuliu Lazaroiu, Wolfgang Lerche
We study D-brane moduli spaces and tachyon condensation in B-type topological minimal models and their massive deformations. We show that any B-type brane is isomorphic with a dire…
Localization and traces in open-closed topological Landau-Ginzburg models
Manfred Herbst, C. I. Lazaroiu
We reconsider the issue of localization in open-closed B-twisted Landau-Ginzburg models with arbitrary Calabi-Yau target. Through careful analsysis of zero-mode reduction, we show…
Superpotentials, A-infinity Relations and WDVV Equations for Open Topological Strings
Manfred Herbst, C. I. Lazaroiu, Wolfgang Lerche
We give a systematic derivation of the consistency conditions which constrain open-closed disk amplitudes of topological strings. They include the A-infinity relations (which gener…
Cyclicity of non-associative products on D-branes
M. Herbst, A. Kling, M. Kreuzer
The non-commutative geometry of deformation quantization appears in string theory through the effect of a B-field background on the dynamics of D-branes in the topological limit. F…
Landau-Ginzburg Realization of Open String TFT
Ilka Brunner, Manfred Herbst, Wolfgang Lerche +1
We investigate B-type topological Landau-Ginzburg theory with one variable, with D2-brane boundary conditions. We find that the allowed brane configurations are determined in terms…
Non-commutative tachyon action and D-brane geometry
Manfred Herbst, Alexander Kling, Maximilian Kreuzer
We analyse open string correlators in non-constant background fields, including the metric , the antisymmetric -field, and the gauge field . Working with a derivative expa…
Star Products from Open Strings in Curved Backgrounds
Manfred Herbst, Alexander Kling, Maximilian Kreuzer
We define a non-commutative product for arbitrary gauge and B-field backgrounds in terms of correlation functions of open strings. While off-shell correlations are, of course, not…