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

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

Interpreting the M2-brane Action

The world-volume theory of multiple M2-branes proposed recently has a free scalar field. For large vev of this scalar field the world-volume action reduces to that of multiple D2-branes with Yang-Mills coupling proportional to the vev. We suggest that the correct interpretation of this scalar field is as the radial position of the M2-brane center of mass in a cylindrical polar coordinate system. Regarding the azimuthal angle as compact we can regard this as a set of coincident D2-branes in type IIA string theory with varying dilaton and metric. We find that the effective world-volume theory on the D2-branes has Yang-Mills coupling proportional to the radial coordinate; furthermore the radial coordinate satisfies free field equations of motion. This agrees with the corresponding results derived from the M2-brane world-volume theory.Comment: LaTeX file, 6 page

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

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

Comments on Supersymmetric Vector and Matrix Models

Some results in random matrices are generalized to supermatrices, in particular supermatrix integration is reduced to an integration over the eigenvalues and the resulting volume element is shown to be equivalent to a one dimensional Coulomb gas of both positive and negative charges.It is shown that,for polynomial potentials, after removing the instability due to the annihilation of opposite charges, supermatrix models are indistinguishable from ordinary matrix models, in agreement with a recent result by Alvarez-Gaume and Manes. It is pointed out however that this may not be true for more general potentials such as for instance the supersymmetric generalization of the Penner model.Comment: 6 page

On the validity of ADM formulation in 2D quantum gravity

We investigate 2d gravity quantized in the ADM formulation, where only the loop length $l(z)$ is retained as a dynamical variable of the gravitation, in order to get an intuitive physical insight of the theory. The effective action of $l(z)$ is calculated by adding scalar fields of conformal coupling, and the problems of the critical dimension and the time development of $l$ are addressed.Comment: 12 page

An Exact Solution to O(26) Sigma Model coupled to 2-D Gravity

By a mapping to the bosonic string theory, we present an exact solution to the O(26) sigma model coupled to 2-D quantum gravity. In particular, we obtain the exact gravitational dressing to the various matter operators classified by the irreducible representations of O(26). We also derive the exact form of the gravitationally modified beta function for the original coupling constant $e^2$. The relation between our exact solution and the asymptotic solution given in ref[3] is discussed in various aspects.Comment: 10 pages, pupt-144

Landscape Study of Target Space Duality of (0,2) Heterotic String Models

In the framework of (0,2) gauged linear sigma models, we systematically generate sets of perturbatively dual heterotic string compactifications. This target space duality is first derived in non-geometric phases and then translated to the level of GLSMs and its geometric phases. In a landscape analysis, we compare the massless chiral spectra and the dimensions of the moduli spaces. Our study includes geometries given by complete intersections of hypersurfaces in toric varieties equipped with SU(n) vector bundles defined via the monad construction.Comment: 40 pages, 6 figure