Observations on the Topological Structure in 2d Gravity Coupled to Minimal Matter

By using a bosonization we uncover the topological gravity structure of Labastida, Pernici and Witten in ordinary $2d$ gravity coupled to $(p,q)$ minimal models. We study the cohomology class associated with the fermionic charge of the topological gravity which is shown to be isomorphic to that of the total $BRST$ charge. One of the ground ring generators of $c_M <1$ string theory is found to be in the equivariant cohomology of this fermionic charge.Comment: 13 pages, plain tex, UG-5/94 Some clarifying statements and two new references adde

(0,2) string compactifications

Using the simple current method we study a class of $(0,2)$ SCFTs which we conjecture to be equivalent to (0,2) sigma models constructed in the framework of gauged linear sigma models.Comment: Talk at the International Symposium on the Theory of Elementary Particles Buckow, August 27-31, 1996; LaTeX, fleqn.sty, espcrc2.sty; 6 page

Evidenzbasierte Therapie des Raynaud-Syndroms

Zusammenfassung: Das Raynaud-Syndrom ist mit einer Prävalenz von 3-5% ein häufiges klinisches Problem. Dennoch ist die Wirkung der meisten Therapiemöglichkeiten nur unzureichend durch kontrollierte Studien belegt. Zu den Therapien mit höherem Evidenzgrad gehört der Kalziumantagonist Nifedipin, für den in Metaanalysen sowohl bei primärem als auch bei sekundärem Raynaud-Syndrom eine verbesserte periphere Durchblutung sowie eine Abnahme der Frequenz und des Schweregrades der Raynaud-Attacken nachgewiesen werden konnte. Ähnliches gilt für intravenös appliziertes Iloprost in der Therapie des sekundären Raynaud-Syndroms bei systemischer Sklerose. Intravenös verabreichtes Iloprost verbessert darüber hinaus das Abheilen von Fingerkuppenulzera bei Patienten mit systemischer Sklerose. Vielversprechende Therapieansätze stellen Angiotensin-II-Rezeptor-1-Antagonisten (Losartan), die Kalziumantagonisten Felodipin und Amlodipin, Serotonin-Reuptake-Hemmer (Fluoxetin) und Phosphodiesterase-V-Hemmer (Sildenafil, Vardenafil) dar, die sich in kontrollierten Einzelstudien als wirksam erwiesen haben. Jedoch fehlen Erfahrungen mit größeren Patientenzahlen und längeren Anwendungszeiten, um diese Therapiemöglichkeiten abschließend zu beurteile

Deformed Quantum Cohomology and (0,2) Mirror Symmetry

We compute instanton corrections to correlators in the genus-zero topological subsector of a (0,2) supersymmetric gauged linear sigma model with target space P1xP1, whose left-moving fermions couple to a deformation of the tangent bundle. We then deduce the theory's chiral ring from these correlators, which reduces in the limit of zero deformation to the (2,2) ring. Finally, we compare our results with the computations carried out by Adams et al.[ABS04] and Katz and Sharpe[KS06]. We find immediate agreement with the latter and an interesting puzzle in completely matching the chiral ring of the former.Comment: AMSLatex, 30 pages, one eps figure. V4: typos corrected, final version appearing in JHE

World-sheet Stability of (0,2) Linear Sigma Models

We argue that two-dimensional (0,2) gauged linear sigma models are not destabilized by instanton generated world-sheet superpotentials. We construct several examples where we show this to be true. The general proof is based on the Konishi anomaly for (0,2) theories.Comment: 18 pages, LaTe

Three-point correlation functions in N=1 Super Lioville Theory

In this letter we propose exact three-point correlation functions for N=1 supersymmetric Liouville theory. Along the lines of Zamolodchikov and Zamolodchikov paper (hep-th/9506136) we propose a generalized special function which describe the three-point amplitudes. We consider briefly the so called reflection amplitudes in the supersymmetric case.Comment: 12 pages, calligraphic letters in the formulae are made readable (as in the published version

Mechanisms of vascular damage in SSc—implications for vascular treatment strategies

Vascular abnormalities are a major component of SSc, but little is known about the events or mechanisms that initiate vascular injury and prevent its repair. In SSc, angiogenesis is incomplete or lacking despite the increased expression of a large array of pro-angiogenic factors such as VEGF. Conflicting results have recently been published concerning the presence and role of vasculogenesis and circulating endothelial progenitor cells in SSc. It remains to be established if these endothelial progenitor cells are a marker of endothelial disease or a cause of insufficient vascular repair. Human mesenchymal stem cells (MSCs) may be an alternative source for endothelial progenitor cells, and it has been observed that the angiogenic potential of endothelial-like MSCs is reduced. Other mechanisms of vascular damage include oxidative stress and factors released from activated platelets. In addition, growth factors such as ET-1 and PDGF induce proliferation of vascular smooth muscle cells resulting in intimal thickening. For the development of new therapeutic strategies, it is important to realize that the different vascular pathologies—uncompensated loss of capillaries on one hand and vascular remodelling with a proliferative vasculopathy on the other—might require different treatment approache

F-theory and linear sigma models

We present an explicit method for translating between the linear sigma model and the spectral cover description of SU(r) stable bundles over an elliptically fibered Calabi-Yau manifold. We use this to investigate the 4-dimensional duality between (0,2) heterotic and F-theory compactifications. We indirectly find that much interesting heterotic information must be contained in the `spectral bundle' and in its dual description as a gauge theory on multiple F-theory 7-branes. A by-product of these efforts is a method for analyzing semistability and the splitting type of vector bundles over an elliptic curve given as the sheaf cohomology of a monad.Comment: 40 pages, no figures; minor cosmetic reorganization of section 4; reference [6] update

Continuum Annulus Amplitude from the Two-Matrix Model

An explicit expression for continuum annulus amplitudes having boundary lengths $\ell_{1}$ and $\ell_{2}$ is obtained from the two-matrix model for the case of the unitary series; $(p,q) = (m + 1, m)$. In the limit of vanishing cosmological constant, we find an integral representation of these amplitudes which is reproduced, for the cases of the $m = 2~(c=0)$ and the $m \rightarrow \infty~(c=1)$, by a continuum approach consisting of quantum mechanics of loops and a matter system integrated over the modular parameter of the annulus. We comment on a possible relation to the unconventional branch of the Liouville gravity.Comment: 9 pages, OU-HET 190, revised version. A part of the conclusions has been corrected. A new result on integral representation of the annulus amplitudes has been adde